{"text_format":"1","workbook":"xlsx","n_sheets":10,"sheets":["licenses","MENU","UnmeasuredConfound","UnmeasuredConfound_EMM","Selection_Bias","Exposure_Misc","Outcome_Misc","Confounder_Misc","Multiple_bias","Distribution"],"not_rendered":{"charts":80,"images":20,"macros":1,"external_links":0,"defined_names":177,"comments":7,"pivot_tables":0},"unopened":[],"bounds":{"document_bytes":16777216,"sheet_cells":100000,"rows_first":2000,"rows_last":500,"rows_between":2000,"halvings":0,"cell_chars":16384,"cell_head_chars":4096},"cells_cut":0,"cells_raw":0,"read":"whole","date_system":"1900"}

{"sheet":"licenses","index":0,"n_rows":8,"n_cols":7,"rows_kept":8,"cut":false,"hidden":false,"merged":[[3,2,3,13],[2,2,2,13],[5,2,5,13],[4,2,4,13]]}
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[null,null,"Copyright 2019 Data science expert committee, Drug evaluation committee,. Japan Pharmaceutical Manufacturers Association"]
[null,null,"Licensed under the Apache License, Version 2.0 (the \"License\");\nyou may not use this file except in compliance with the License.\nYou may obtain a copy of the License at"]
[null,null,"http://www.apache.org/licenses/LICENSE-2.0 "]
[null,null,"Unless required by applicable law or agreed to in writing, software\ndistributed under the License is distributed on an \"AS IS\" BASIS,\nWITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.\nSee the License for the specific language governing permissions and\nlimitations under the License."]
[]
[null,null,null,null,null,false,"Agree the Apache License"]

{"sheet":"MENU","index":1,"n_rows":196,"n_cols":22,"rows_kept":196,"cut":false,"hidden":true,"merged":[[20,9,20,11],[20,12,20,16],[24,2,24,16],[74,6,74,9],[4,16,5,17],[1,1,1,17],[16,9,16,11],[18,9,18,11],[8,12,8,16],[6,2,6,8],[6,9,6,11],[8,9,8,11],[10,9,10,11],[14,9,14,11],[10,12,10,16],[14,12,14,16],[16,12,16,16],[18,12,18,16],[6,12,6,16],[12,12,12,16]]}
[]
[null,"Excel for Sensitivity Analyses Tool by JPMA"]
[]
[null,null,"The spreadsheets included in this Excel workbook can be use to conduct Sensitivity analyses of Single  Bias modeling. "]
[null,null,"Each spredsheets can use single , Multidimensional, Probabilistic and multiple bias method."]
[]
[null,null,"Type of Bias",null,null,null,null,null,null,"Wprksheets",null,null,"Measurements"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0]
[null,null,"UNMEASURED CONFOUNDING without effect modification",null,null,null,null,null,null,"UnmeasuredConfound",null,null,"Odds ratio, Risk ratio, Risk difference"]
[]
[null,null,"UNMEASURED CONFOUNDING with effect modification",null,null,null,null,null,null,"UnmeasuredConfound_EMM",null,null,"Odds ratio, Risk ratio, Risk difference"]
[]
[null,null,"SELECTION BIAS",null,null,null,null,null,null,"Selection_Bias",null,null,"Odds ratio, Risk ratio"]
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[null,null,"EXPOSURE MISCLASSIFICATION ",null,null,null,null,null,null,"Exposure_Misc",null,null,"Odds ratio, Risk ratio"]
[]
[null,null,"OUTCOME MISCLASSIFICATION",null,null,null,null,null,null,"Outcome_Misc",null,null,"Odds ratio, Risk ratio"]
[]
[null,null,"CONFOUNDER MISCLASSIFICATION ",null,null,null,null,null,null,"Confounder_Misc",null,null,"Odds ratio, Risk ratio"]
[]
[null,null,"MULTIPLE BIAS (individualized approach)",null,null,null,null,null,null,"Multiple_bias",null,null,"Odds ratio"]
[]
[null,null,"Visualization for Distribution",null,null,null,null,null,null,"Distribution"]
[]
[null,null,"How to use"]
[]
[null,null,null,"For each spreadsheet, you can choose a single, multiple, or probabilistic method."]
[]
[null,null,null,"Single is default"]
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[null,null,null,"Multidimensional method",null,null,null,"Enter the parameters and press \"Submit\" button."]
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[null,null,null,"Probabilistic method",null,null,"Enter the parameters and press \"Submit\" button."]
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[null,null,null,null,"Distribution",null,"→ Visualize various distributions."]
[null,null,null,null,null,null,null,null,null,null,null,"\"Beta\" is bata distribution"]
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[null,null,null,null,null,null,null,null,null,null,null,"Legend is Beta(α, β)"]
[null,null,null,"Trapezoidal and Triangular is"]
[null,null,null,null,"If Triangular then Mod2=Mod1"]
[null,null,null,null,"u=Uniform(0～1)",null,null,"v=(Min + Mod1 + u(Max + Mod2 - Min - Mod1)) / 2"]
[null,null,null,null,"If v < Mod1 then p=Min + SQRT[(Mod1 - Min)(2v - Min - Mod1))"]
[null,null,null,null,"If v > Mod2 then p=Max + SQRT[2(Max - Mod2)(v -Mod2))"]
[null,null,null,null,"Else p=u"]
[null,null,null,null,"Trapezoidal =p"]
[]
[null,null,null,"Normal is \n"]
[null,null,null,null,"Nomal= Mean + Norm.Inv(Uniform(0～1), 0, SD)"]
[]
[null,null,null,"Weibull is "]
[null,null,null,null,"tp1 = β * ((-1 * Ln(0.000005))(1 / α))"]
[null,null,null,null,"tp2 = (Max - Min) / tp1\n"]
[null,null,null,null,"u=Uniform(0～1)"]
[null,null,null,null,"Weibull = Min + tp2 * β * (ln(1/(1 - u))(1 / α))"]
[]
[null,null,null,"Log-normal is \n"]
[null,null,null,null,"If Mean = 0 Then Mean = 1   "]
[null,null,null,null,"Log-nomal= exp(ln(Mean) + Norm.Inv(Uniform(0～1), 0, SD))"]
[]
[null,null,null,"Log-uniform is \n"]
[null,null,null,null,"u = Uniform(ln(Min)～ln(Max))"]
[null,null,null,null,"Log-uniform= exp(u)"]
[]
[null,null,null,"expit(logit) is "]
[null,null,null,null,"u = Uniform(0～1)"]
[null,null,null,null,"g = ln(α / (1 - α)) + β * ln(u / (1 - u))\n"]
[null,null,null,null,"expit(logit) = Min + (Max - Min) * (exp(g) / (exp(g) + 1))"]
[]
[null,null,null,"ORec=ORExposure-Confounder is "]
[null,null,null,null,"ORec=OR(Exposure-Confounder)  "]
[null,null,null,null,"    n=normal(ln(mean),SD),q=p(Confounder+|Exposure+)=ORec "]
[null,null,null,null,"    q=p(Confounder+|Exposure-) is Formula example \"=RAND()*0.4+0.2\""]
[null,null,null,null,"    p=1 / {[(1 - p) / (p * Exp(n))] + 1}"]
[]
[]
[null,null,null,"RatioDistF= Distribution of ratio by F distribution is"]
[null,null,null,null,"d1=2(n-x+1)，  d2=2x"]
[null,null,null,null,"RatioDistF=d2/(d1*F.inv(Uniform(0～1) , d1,d2)+d2)"]
[null,null,null,null,"   ～RatioDistF≧min and RatioDistF≦max"]
[]
[null,null,null,"Expression is input formura yourself"]
[null,null,null,null,"Exsample When logit(p)  p～normal(1,0.1) of UnmeasuredConfound ORCD then"]
[null,null,null,null,"Formura of cell P13 is \"=NORM.INV(RAND(),1, 0.1)\""]
[null,null,null,null,"Formura of cell M13 is \"=ln(P13/(1-P13))"]
[]
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[null,null,null,"When correlation is selected for distribution"]
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[null,null,null,"Result of correlation "]
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[null,null,null,"When you want to know the case where it is less than or over any odds ratio."]
[null,null,null,"After Probabilistic method,  input threshold value of RR / OR , select \"Frequency≦\" / \"Frequency≧\" "]
[null,null,null,"and checked any check box of \"Extract\" . "]

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[null,{"$f":"IF(OR(COUNT(AC9,#REF!)>0,MIN(AC9,#REF!)>=1),2,ROUNDUP(ABS(LOG10(MIN(AC9,#REF!))),0)+1)","v":{"$error":"#REF!"}},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"number of persons"]
[null,"UNMEASURED CONFOUNDING without effect modification (OR , RR or RD)",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"person time"]
[null,"This spreadsheet can be used to conduct a simple sensitivity analysis to correct for unknown or unmeasured confounding.The example follows  Greenland, S., and T. L. Lash. 2008. chapter 19  Bias analysis. In Modern Epidemiology,  K. J.Rothman, S. Greenland, and T. L. Lash, 3rd ed ",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"RR Calculations",null,"OR Calculations",null,"Calculations"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Round Places",{"$f":"IF(C25>10,1,IF(C25>1,2,IF(C25>0.1,3,IF(C25>0.01,4,IF(C25>0.001,5,IF(C25>0.0001,6,IF(C25>0.00001,7,IF(C25>0.000001,8,9))))))))","v":{"$error":"#DIV/0!"}},"Round Places",{"$f":"IF(C25>10,1,IF(C25>1,2,IF(C25>0.1,3,IF(C25>0.01,4,IF(C25>0.001,5,IF(C25>0.0001,6,IF(C25>0.00001,7,IF(C25>0.000001,8,9))))))))","v":{"$error":"#DIV/0!"}},"Round Places",{"$f":"IF(OR(COUNT(AD5,AD7,AD8,AD9)=0,MIN(ABS(AD5),ABS(AD7),ABS(AD8),ABS(AD9))>=10),0,ROUNDUP(ABS(LOG10(MIN(ABS(AD5),ABS(AD7),ABS(AD8),ABS(AD9)))),0)+1)","v":{"$error":"#DIV/0!"}}]
[null,"Instructions",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Crude RR",{"$f":"(C19/C23)/(F19/F23)","v":{"$error":"#DIV/0!"}},"Crude OR",{"$f":"(C19/C21)/(F19/F21)","v":{"$error":"#DIV/0!"}},"Crude RD",{"$f":"(C19/C23)-(F19/F23)","v":{"$error":"#DIV/0!"}}]
[null,"Enter bias parameters in blue cells to the right and the crude data in the blue cells below. Cells in green give the results after adjusting for the unmeasured confounder. ",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"SE(LN(RR))",{"$f":"SQRT(1/C19-1/C23+1/F19-1/F23)","v":{"$error":"#DIV/0!"}},"SE(LN(OR))",{"$f":"SQRT(1/C19+1/C21+1/F19+1/F21)","v":{"$error":"#DIV/0!"}},"SE(RD)",{"$f":"SQRT((C19*C21)/(C23^3)+(F19*F21)/(F23^3))","v":{"$error":"#DIV/0!"}}]
[null,"Input Bias Parameters",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Confirm distribution",null,null,null,null,"C+ (Total)",{"$f":"J23+M23","v":{"$error":"#VALUE!"}},"C+ Total",{"$f":"J23+M23","v":{"$error":"#VALUE!"}},"MH RD",{"$f":"(((J19*M23-M19*J23)/(J23+M23))+((Q19*T23-T19*Q23)/(Q23+T23)))/((J23*M23/(J23+M23))+(Q23*T23/(Q23+T23)))","v":{"$error":"#VALUE!"}}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,1,null,null,0,null,null,"C- (Total)",{"$f":"Q23+T23","v":{"$error":"#VALUE!"}},"C- Total",{"$f":"Q23+T23","v":{"$error":"#VALUE!"}},"RD C+",{"$f":"(J19/J23)-(M19/M23)","v":{"$error":"#VALUE!"}}]
[null,null,null,null,null,null,null,null,null,null,null,"Select Method","Setting of Single",null,null,null,null,{"$f":"COUNT(P11:Q13)","v":0},3,null,null,null,null,null,"SMR",{"$f":"IF(OR(M23=0,T23=0),\"ERR\",C19/((J23*M19/M23)+(Q23*T19/T23)))","v":{"$error":"#VALUE!"}},"SMR",{"$f":"IF(OR(M21=0,T21=0),\"ERR\",C19/((J21*M19/M21)+(Q21*T19/T21)))","v":{"$error":"#VALUE!"}},"RD C-",{"$f":"IF(OR(Q23=0,T23=0),\"ERR\",(Q19/Q23)-(T19/T23))","v":{"$error":"#VALUE!"}}]
[null,"Variable Names",null,null,null,null,null,null,"Bias Parameters",null,null,null,{"$f":"IF($M$9=\"Setting of Multidimensional\",IF(M14=TRUE,\"List\",\"Min\"),IF($M$9=\"Setting of Single\",\"\",\"Min\"& IF(OR(S11=\"ORec\",S11=\"Orec-uniform\",S13=\"Log-normal\"),\"/Mean\",\"\")))","v":""},null,null,{"$f":"IF($M$9<>\"Setting of Probabilistic\",\"#Cycle\",\"Max\" & IF(OR(S11=\"ORec\",S11=\"Orec-uniform\",S11=\"Normal\",S12=\"Normal\",S13=\"Log-normal\",S13=\"Normal\",S11=\"Pr2+Uniform\"),\"/SD\",\"\"))","v":"#Cycle"},{"$f":"IF($M$9<>\"Setting of Probabilistic\",\"Increment\",\"Mod1/α\")","v":"Increment"},{"$f":"IF($M$9<>\"Setting of Probabilistic\",\"\",\"Mod2/β\")","v":""},{"$f":"IF(Setting_Multi_Prob=\"Setting of Probabilistic\",\"Distribution\",\"\")","v":""},null,"Max",{"$f":"IF(AND(Setting_Multi_Prob=\"Setting of Probabilistic\",ISERR(SEARCH(\"Correlate\",CONCATENATE(S11,S12,S13,S14)))=FALSE),\"ρ\",\"\")","v":""},null,null,"RR Rand",{"$f":"EXP(LN(Z9)-Z6*NORMINV(RAND(),0,1))","v":{"$error":"#VALUE!"}},"OR Rand",{"$f":"EXP(LN(AB9)-AB6*NORMINV(RAND(),0,1))","v":{"$error":"#VALUE!"}},"SMD",{"$f":"(C19-((J23*M19/M23)+(Q23*T19/T23)))/(C23+F23)","v":{"$error":"#VALUE!"}}]
[null,"Outcome",null,null,null,null,null,{"$f":"IF(OR(S11=\"ORec\",S11=\"ORec-uniform\"),\"OR\",\"p\")","v":"p"},{"$f":"IF(OR(S11=\"ORec\",S11=\"ORec-uniform\"),CONCATENATE(\"(\",IF(C13=\"\",\"C\",C13),\"-\",IF(C12=\"\",\"E\",C12),\")\"),CONCATENATE(\"(\",IF(C13=\"\",\"C\",C13),\"+|\",IF(C12=\"\",\"E\",C12),\"+)\"))","v":"(C+|E+)"},null,null,null,null,null,null,null,null,null,null,null,{"$f":"IF($M$9=\"Setting of Multidimensional\",IF(AND(Q11<>\"\",$V$8=0),M11+P11*Q11,0),\"\")","v":""},null,{"$f":"IF(Setting_Multi_Prob=\"Setting of Probabilistic\",2,1)","v":1},{"$f":"IF(S11=\"Expression\",SUBSTITUTE(SUBSTITUTE(SUBSTITUTE(SUBSTITUTE(SUBSTITUTE(CONCATENATE(\"Expression\",_xlfn.IFNA(_xlfn.FORMULATEXT(M11),M11)& CHAR(13),IF(P11<>\"\",\" Pr1\" & _xlfn.IFNA(_xlfn.FORMULATEXT(P11),P11) & CHAR(13),\"\"),IF(Q11<>\"\",\" Pr2\" & _xlfn.IFNA(_xlfn.FORMULATEXT(Q11),Q11) & CHAR(13),\"\"),IF(R11<>\"\",\" Pr3\" & _xlfn.IFNA(_xlfn.FORMULATEXT(R11),R11),\"\")),\"P11\",\"Pr1\"),\"Q11\",\"Pr2\"),\"R11\",\"Pr3\"),\"M12\",E139),\"M13\",G139),\"\")","v":""},"MH",{"$f":"(J19*M23/Z7+Q19*T23/Z8)/(M19*J23/Z7+T19*Q23/Z8)","v":{"$error":"#VALUE!"}},"MH",{"$f":"(J19*M21/AB7+Q19*T21/AB8)/(M19*J21/AB7+T19*Q21/AB8)","v":{"$error":"#VALUE!"}}]
[null,"Exposure",null,null,null,null,null,"p",{"$f":"CONCATENATE(\"(\",IF(C13=\"\",\"C\",C13),\"+|\",IF(C12=\"\",\"E\",C12),\"-)\")","v":"(C+|E-)"},null,null,null,null,null,null,null,null,null,null,null,{"$f":"IF($M$9=\"Setting of Multidimensional\",IF(AND(Q12<>\"\",$V$8=0),M12+P12*Q12,0),\"\")","v":""},null,{"$f":"IF(Setting_Multi_Prob=\"Setting of Probabilistic\",2,1)","v":1},{"$f":"IF(S12=\"Expression\",SUBSTITUTE(SUBSTITUTE(SUBSTITUTE(SUBSTITUTE(SUBSTITUTE(CONCATENATE(\"Expression\",_xlfn.IFNA(_xlfn.FORMULATEXT(M12),M12)& CHAR(13),IF(P12<>\"\",\" Pr1\" & _xlfn.IFNA(_xlfn.FORMULATEXT(P12),P12) & CHAR(13),\"\"),IF(Q12<>\"\",\" Pr2\" & _xlfn.IFNA(_xlfn.FORMULATEXT(Q12),Q12) & CHAR(13),\"\"),IF(R12<>\"\",\" Pr3\" & _xlfn.IFNA(_xlfn.FORMULATEXT(R12),R12),\"\")),\"P12\",\"Pr2\"),\"Q12\",\"Pr2\"),\"R12\",\"Pr3\"),\"M11\",C139),\"M13\",G139),\"\")","v":""},null,null,"OR C+",{"$f":"(J19/J21)/(M19/M21)","v":{"$error":"#VALUE!"}}]
[null,"Confounder",null,null,null,null,null,null,{"$f":"IF(C13<>\"\",IF(C11<>\"\",CONCATENATE(\"(\",C13,\"-\",C11,\")\"),CONCATENATE(\"(\",C13,\"-|Dis)\")),IF(C11<>\"\",CONCATENATE(\"(Conf-\",C11,\")\"), \"(CD)\"))","v":"(CD)"},null,null,null,null,null,{"$f":"IF(OR(S13=\"Log-normal\",S13=\"Normal\"),0,M13)","v":0},null,null,null,null,null,{"$f":"IF($M$9=\"Setting of Multidimensional\",IF(AND(Q13<>\"\",$V$8=0),M13+P13*Q13,0),\"\")","v":""},null,999,{"$f":"IF(S13=\"Expression\",SUBSTITUTE(SUBSTITUTE(SUBSTITUTE(SUBSTITUTE(SUBSTITUTE(CONCATENATE(\"Expression\",_xlfn.IFNA(_xlfn.FORMULATEXT(M13),M13)& CHAR(13),IF(P13<>\"\",\" Pr1\" & _xlfn.IFNA(_xlfn.FORMULATEXT(P13),P13) & CHAR(13),\"\"),IF(Q13<>\"\",\" Pr2\" & _xlfn.IFNA(_xlfn.FORMULATEXT(Q13),Q13) & CHAR(13),\"\"),IF(R13<>\"\",\" Pr3\" & _xlfn.IFNA(_xlfn.FORMULATEXT(R13),R13),\"\")),\"P13\",\"Pr1\"),\"Q13\",\"Pr2\"),\"R13\",\"Pr3\"),\"M11\",C139),\"M12\",E139),\"\")","v":""},"Error Check",null,"OR C-",{"$f":"(Q19/Q21)/(T19/T21)","v":{"$error":"#VALUE!"}}]
[null,"Error Check",{"$f":"IF(ISERROR(Z22),\"Negative Cell\",IF(C23+F23=0,\"No data\",IF(Z22>0,\"Negative Cell\",\"No errors found\")))","v":"No data"},null,null,null,null,"↑RR , OR or RD Selection",null,null,null,null,false,null,null,null,null,{"$f":"IF(M9=\"Setting of Probabilistic\",\"←#Simulation\",\"←Corrected Measure\")","v":"←Corrected Measure"},null,null,false,null,null,null,null,null,null,null,"Error Check"]
[null,null,null,"Handring of Negative Cells","ERR",null,null,null,null,null,null,null,false,null,null,null,null,null,null,null,null,0,null,null,"RR(C-D|E-)",{"$f":"(M19/M23)/(T19/T23)","v":{"$error":"#VALUE!"}}]
[null,{"$f":"IF(C12<>\"\",IF(C11<>\"\",CONCATENATE(\"Data (Enter Crude \",C12,\"-\",C11,\" Data in Blue Cells)\"),\"Data (Enter Crude Data in Blue Cells)\"),\"Data (Enter Crude Data in Blue Cells)\")","v":"Data (Enter Crude Data in Blue Cells)"},null,null,null,null,null,null,null,"Corrected Data",null,null,null,null,null,null,null,null,null,null,null,null,null,null,"RR(C-D|E+)",{"$f":"(J19/J23)/(Q19/Q23)","v":{"$error":"#VALUE!"}}]
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[]
[null,null,"Standardized Morbidity Ratio/ Difference",null,null,null,null,null,null,null,null,"Mantel-Haenszel"]
[]
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[]
[]
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[{"$f":"IF($B$46=\"\",\"\",IF(COUNTIF($A$46:A59,$P$11)<=$P$13,IF(A59<$P$11,A59+1,0),\"\"))","v":""},{"$f":"IF(A60<>\"\",IF(A60=0,IF($M$14=TRUE,INDEX($AA$45:$AA$54,COUNTIF($A$46:A59,1)+1),$B$46+$Q$13*COUNTIF($A$46:A59,1)),B59),\"\")","v":""},""]
[{"$f":"IF($B$46=\"\",\"\",IF(COUNTIF($A$46:A60,$P$11)<=$P$13,IF(A60<$P$11,A60+1,0),\"\"))","v":""},{"$f":"IF(A61<>\"\",IF(A61=0,IF($M$14=TRUE,INDEX($AA$45:$AA$54,COUNTIF($A$46:A60,1)+1),$B$46+$Q$13*COUNTIF($A$46:A60,1)),B60),\"\")","v":""},""]
[{"$f":"IF($B$46=\"\",\"\",IF(COUNTIF($A$46:A61,$P$11)<=$P$13,IF(A61<$P$11,A61+1,0),\"\"))","v":""},{"$f":"IF(A62<>\"\",IF(A62=0,IF($M$14=TRUE,INDEX($AA$45:$AA$54,COUNTIF($A$46:A61,1)+1),$B$46+$Q$13*COUNTIF($A$46:A61,1)),B61),\"\")","v":""},""]
[{"$f":"IF($B$46=\"\",\"\",IF(COUNTIF($A$46:A62,$P$11)<=$P$13,IF(A62<$P$11,A62+1,0),\"\"))","v":""},{"$f":"IF(A63<>\"\",IF(A63=0,IF($M$14=TRUE,INDEX($AA$45:$AA$54,COUNTIF($A$46:A62,1)+1),$B$46+$Q$13*COUNTIF($A$46:A62,1)),B62),\"\")","v":""},""]
[{"$f":"IF($B$46=\"\",\"\",IF(COUNTIF($A$46:A63,$P$11)<=$P$13,IF(A63<$P$11,A63+1,0),\"\"))","v":""},{"$f":"IF(A64<>\"\",IF(A64=0,IF($M$14=TRUE,INDEX($AA$45:$AA$54,COUNTIF($A$46:A63,1)+1),$B$46+$Q$13*COUNTIF($A$46:A63,1)),B63),\"\")","v":""},""]
[{"$f":"IF($B$46=\"\",\"\",IF(COUNTIF($A$46:A64,$P$11)<=$P$13,IF(A64<$P$11,A64+1,0),\"\"))","v":""},{"$f":"IF(A65<>\"\",IF(A65=0,IF($M$14=TRUE,INDEX($AA$45:$AA$54,COUNTIF($A$46:A64,1)+1),$B$46+$Q$13*COUNTIF($A$46:A64,1)),B64),\"\")","v":""},""]
[{"$f":"IF($B$46=\"\",\"\",IF(COUNTIF($A$46:A65,$P$11)<=$P$13,IF(A65<$P$11,A65+1,0),\"\"))","v":""},{"$f":"IF(A66<>\"\",IF(A66=0,IF($M$14=TRUE,INDEX($AA$45:$AA$54,COUNTIF($A$46:A65,1)+1),$B$46+$Q$13*COUNTIF($A$46:A65,1)),B65),\"\")","v":""},""]
[{"$f":"IF($B$46=\"\",\"\",IF(COUNTIF($A$46:A66,$P$11)<=$P$13,IF(A66<$P$11,A66+1,0),\"\"))","v":""},{"$f":"IF(A67<>\"\",IF(A67=0,IF($M$14=TRUE,INDEX($AA$45:$AA$54,COUNTIF($A$46:A66,1)+1),$B$46+$Q$13*COUNTIF($A$46:A66,1)),B66),\"\")","v":""},""]
[{"$f":"IF($B$46=\"\",\"\",IF(COUNTIF($A$46:A67,$P$11)<=$P$13,IF(A67<$P$11,A67+1,0),\"\"))","v":""},{"$f":"IF(A68<>\"\",IF(A68=0,IF($M$14=TRUE,INDEX($AA$45:$AA$54,COUNTIF($A$46:A67,1)+1),$B$46+$Q$13*COUNTIF($A$46:A67,1)),B67),\"\")","v":""},""]
[{"$f":"IF($B$46=\"\",\"\",IF(COUNTIF($A$46:A68,$P$11)<=$P$13,IF(A68<$P$11,A68+1,0),\"\"))","v":""},{"$f":"IF(A69<>\"\",IF(A69=0,IF($M$14=TRUE,INDEX($AA$45:$AA$54,COUNTIF($A$46:A68,1)+1),$B$46+$Q$13*COUNTIF($A$46:A68,1)),B68),\"\")","v":""},""]
[{"$f":"IF($B$46=\"\",\"\",IF(COUNTIF($A$46:A69,$P$11)<=$P$13,IF(A69<$P$11,A69+1,0),\"\"))","v":""},{"$f":"IF(A70<>\"\",IF(A70=0,IF($M$14=TRUE,INDEX($AA$45:$AA$54,COUNTIF($A$46:A69,1)+1),$B$46+$Q$13*COUNTIF($A$46:A69,1)),B69),\"\")","v":""},""]
[{"$f":"IF($B$46=\"\",\"\",IF(COUNTIF($A$46:A70,$P$11)<=$P$13,IF(A70<$P$11,A70+1,0),\"\"))","v":""},{"$f":"IF(A71<>\"\",IF(A71=0,IF($M$14=TRUE,INDEX($AA$45:$AA$54,COUNTIF($A$46:A70,1)+1),$B$46+$Q$13*COUNTIF($A$46:A70,1)),B70),\"\")","v":""},""]
[{"$f":"IF($B$46=\"\",\"\",IF(COUNTIF($A$46:A71,$P$11)<=$P$13,IF(A71<$P$11,A71+1,0),\"\"))","v":""},{"$f":"IF(A72<>\"\",IF(A72=0,IF($M$14=TRUE,INDEX($AA$45:$AA$54,COUNTIF($A$46:A71,1)+1),$B$46+$Q$13*COUNTIF($A$46:A71,1)),B71),\"\")","v":""},""]
[{"$f":"IF($B$46=\"\",\"\",IF(COUNTIF($A$46:A72,$P$11)<=$P$13,IF(A72<$P$11,A72+1,0),\"\"))","v":""},{"$f":"IF(A73<>\"\",IF(A73=0,IF($M$14=TRUE,INDEX($AA$45:$AA$54,COUNTIF($A$46:A72,1)+1),$B$46+$Q$13*COUNTIF($A$46:A72,1)),B72),\"\")","v":""},""]
[{"$f":"IF($B$46=\"\",\"\",IF(COUNTIF($A$46:A73,$P$11)<=$P$13,IF(A73<$P$11,A73+1,0),\"\"))","v":""},{"$f":"IF(A74<>\"\",IF(A74=0,IF($M$14=TRUE,INDEX($AA$45:$AA$54,COUNTIF($A$46:A73,1)+1),$B$46+$Q$13*COUNTIF($A$46:A73,1)),B73),\"\")","v":""},""]
[{"$f":"IF($B$46=\"\",\"\",IF(COUNTIF($A$46:A74,$P$11)<=$P$13,IF(A74<$P$11,A74+1,0),\"\"))","v":""},{"$f":"IF(A75<>\"\",IF(A75=0,IF($M$14=TRUE,INDEX($AA$45:$AA$54,COUNTIF($A$46:A74,1)+1),$B$46+$Q$13*COUNTIF($A$46:A74,1)),B74),\"\")","v":""},""]
[{"$f":"IF($B$46=\"\",\"\",IF(COUNTIF($A$46:A75,$P$11)<=$P$13,IF(A75<$P$11,A75+1,0),\"\"))","v":""},{"$f":"IF(A76<>\"\",IF(A76=0,IF($M$14=TRUE,INDEX($AA$45:$AA$54,COUNTIF($A$46:A75,1)+1),$B$46+$Q$13*COUNTIF($A$46:A75,1)),B75),\"\")","v":""},""]
[{"$f":"IF($B$46=\"\",\"\",IF(COUNTIF($A$46:A76,$P$11)<=$P$13,IF(A76<$P$11,A76+1,0),\"\"))","v":""},{"$f":"IF(A77<>\"\",IF(A77=0,IF($M$14=TRUE,INDEX($AA$45:$AA$54,COUNTIF($A$46:A76,1)+1),$B$46+$Q$13*COUNTIF($A$46:A76,1)),B76),\"\")","v":""},""]
[{"$f":"IF($B$46=\"\",\"\",IF(COUNTIF($A$46:A77,$P$11)<=$P$13,IF(A77<$P$11,A77+1,0),\"\"))","v":""},{"$f":"IF(A78<>\"\",IF(A78=0,IF($M$14=TRUE,INDEX($AA$45:$AA$54,COUNTIF($A$46:A77,1)+1),$B$46+$Q$13*COUNTIF($A$46:A77,1)),B77),\"\")","v":""},""]
[{"$f":"IF($B$46=\"\",\"\",IF(COUNTIF($A$46:A78,$P$11)<=$P$13,IF(A78<$P$11,A78+1,0),\"\"))","v":""},{"$f":"IF(A79<>\"\",IF(A79=0,IF($M$14=TRUE,INDEX($AA$45:$AA$54,COUNTIF($A$46:A78,1)+1),$B$46+$Q$13*COUNTIF($A$46:A78,1)),B78),\"\")","v":""},""]
[{"$f":"IF($B$46=\"\",\"\",IF(COUNTIF($A$46:A79,$P$11)<=$P$13,IF(A79<$P$11,A79+1,0),\"\"))","v":""},{"$f":"IF(A80<>\"\",IF(A80=0,IF($M$14=TRUE,INDEX($AA$45:$AA$54,COUNTIF($A$46:A79,1)+1),$B$46+$Q$13*COUNTIF($A$46:A79,1)),B79),\"\")","v":""},""]
[{"$f":"IF($B$46=\"\",\"\",IF(COUNTIF($A$46:A80,$P$11)<=$P$13,IF(A80<$P$11,A80+1,0),\"\"))","v":""},{"$f":"IF(A81<>\"\",IF(A81=0,IF($M$14=TRUE,INDEX($AA$45:$AA$54,COUNTIF($A$46:A80,1)+1),$B$46+$Q$13*COUNTIF($A$46:A80,1)),B80),\"\")","v":""},""]
[]
[]
[]
[null,{"$f":"CONCATENATE(IF(C11<>\"\",IF(C12<>\"\",CONCATENATE(C11,\"-\",C12,\" Relationship \"),\"Results \"),\"Results \"),IF(C13<>\"\",CONCATENATE(\"Adjusted for \",C13),\"Adjusted for Unmeasured Confounder\"))","v":"Results Adjusted for Unmeasured Confounder"}]
[]
[null,null,null,null,null,{"$f":"IF(B24=2,\"Incidence RR\",\"RR\") & \" Simulation Results (N=\"","v":"RR Simulation Results (N="},{"$f":"COUNT($K$140:$K$100139)","v":0},null,")",null,null,null,null,"OR Simulation Results (N=",{"$f":"COUNT($M$140:$M$100139)","v":0},null,")",null,"Errors:",null,{"$f":"IF(AND(O87>0,COUNT(B140:B100139)>0),COUNT(B140:B100139)-COUNTIF(B140:B100139,4),\"-\")","v":"-"}]
[{"$f":"MAX($B$140:$B$100139)=4","v":false},"Analysis",null,null,null,"Median (2.5%ile-97.5%ile)",null,null,null,null,"Median (2.5%ile-97.5%ile)",null,null,null,null,null,null,null,{"$f":"IF(samp,\"re-sampling\",\"-\")","v":"-"},null,"-"]
[null,"Conventional",null,{"$f":"G29","v":"ERR"},null,null,"－",null,null,null,null,{"$f":"G28","v":"ERR"},null,null,"－"]
[null,"Systematic",null,{"$f":"IF($A$88,CONCATENATE(ROUND(PERCENTILE(K140:K100139,0.5),2),\" (\",ROUND(PERCENTILE(K140:K100139,0.025),2),\" - \",ROUND(PERCENTILE(K140:K100139,0.975),2),\")\"),\"\")","v":""},null,null,{"$f":"IF(I88=\"\",\"－\",ROUND(COUNTIF(K$140:K$100139,IF(G88=\"Freq of RR≧\",\">=\",\"<=\") & I88)/COUNT(K$140:K$100139),ROUNDDOWN(LOG10(G87),0)))","v":"－"},null,false,null,null,{"$f":"IF($A$88,CONCATENATE(ROUND(PERCENTILE(M141:M100139,0.5),2),\" (\",ROUND(PERCENTILE(M140:M100139,0.025),2),\" - \",ROUND(PERCENTILE(M140:M100139,0.975),2),\")\"),\"\")","v":""},null,null,{"$f":"IF(Q88=\"\",\"－\",ROUND(COUNTIF(M$140:M$100139,IF(O88=\"Freq of OR≧\",\">=\",\"<=\") & Q88)/COUNT(M$140:M$100139),ROUNDDOWN(LOG10(O87),0)))","v":"－"},null,false,null,null,null,false]
[null,"Total Error",null,{"$f":"IF($A$88,CONCATENATE(ROUND(PERCENTILE(O140:O100139,0.5),2),\" (\",ROUND(PERCENTILE(O140:O100139,0.025),2),\" - \",ROUND(PERCENTILE(O140:O100139,0.975),2),\")\"),\"\")","v":""},null,null,{"$f":"IF(I88=\"\",\"－\",ROUND(COUNTIF(O$140:O$100139,IF(G88=\"Freq of RR≧\",\">=\",\"<=\") & I88)/COUNT(O$140:O$100139),ROUNDDOWN(LOG10(G87),0)))","v":"－"},null,false,null,null,{"$f":"IF($A$88,CONCATENATE(ROUND(PERCENTILE(Q140:Q100139,0.5),2),\" (\",ROUND(PERCENTILE(Q140:Q100139,0.025),2),\" - \",ROUND(PERCENTILE(Q140:Q100139,0.975),2),\")\"),\"\")","v":""},null,null,{"$f":"IF(Q88=\"\",\"－\",ROUND(COUNTIF(Q$140:Q$100139,IF(O88=\"Freq of OR≧\",\">=\",\"<=\") & Q88)/COUNT(Q$140:Q$100139),ROUNDDOWN(LOG10(O87),0)))","v":"－"},null,false,null,null,{"$f":"COUNT(C140:C100139)","v":0}]
[]
[null,null,{"$f":"IF(ExEr,\"Distribution of used parameters\",\"Distribution of setting parameters\")","v":"Distribution of setting parameters"}]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[null,null,null,null,null,null,{"$f":"IF(OR(B93<>\"\",AND(ExEr,Illegal>0)),CHAR(13)&CHAR(10)&CHAR(13)&CHAR(10)&CHAR(13)&CHAR(10)&\"Plots of \"&IF(AND(ExEr,Illegal>0),\" exclude error data \",\"\") & IF(AND(B93<>\"\",AND(ExEr,Illegal>0)),\" and \",\"\") & B93,\"\")","v":""},null,null,null,null,null,null,null,null,null,"Summary of used parameters"]
[null,null,"-",1,null,null,null,null,null,null,null,null,null,null,null,null,"Summary of used parameters",null,"Min","2.5%tile",null,"Median",null,"97.5%tile","Max","Mode","Mean"]
[null,null,{"$f":"IF($B$24=2,\"I\",\"\") & \"RRsys\"","v":"RRsys"},null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"C139","v":"p(C+|E+)"},null,0.13328556810858161,0.30521050228175933,null,0.55080436298965418,null,0.77546238647299726,0.90283073070854802,0.55005011901781908,0.54779948503616926]
[null,null,{"$f":"IF($B$24=2,\"I\",\"\") & \"RRtotal\"","v":"RRtotal"},null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"E139","v":"p(C+|E-)"},null,0.40001863241195679,0.40755353868007665,null,0.54960596561431885,null,0.69277136623859403,0.69999881982803336,0.46266032075881958,0.54991522019958272]
[null,null,"ORsys",null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"G139","v":"(C|D)"},null,2.8732421175554346,4.9627665636480511,null,8.5858881097531228,null,14.881565645262386,26.597507405006453,7.8054901050465597,8.9390302034848119]
[null,null,"ORtotal"]
[]
[]
[]
[]
[]
[null,null,null,null,null,null,null,null,null,null,{"$f":"IF(LEFT($S$12,9)=\"Correlate\",\"Correlation coefficient between \" & $C$139 & \" and \" & $E$139,\"\")","v":""},{"$f":"IF(K114<>\"\",CORREL($C$140:$C$100139,$E$140:$E$100139),\"\")","v":""},null,null,true]
[]
[null,"Notes"]
[null,"The data for this example come from:  "]
[null,"Momosaki R, Yasunaga H, Matsui H, Fushimi K, Abo M. Proton Pump Inhibitors versus Histamine-2 Receptor Antagonists and Risk of Pneumonia in Patients with Acute Stroke. J Stroke Cerebrovasc Dis. 2016 May;25(5):1035-40."]
[]
[]
[]
[null,"Equations"]
[null,"OR：","C1 = c* p1    and    D1 = d * p0",null,null,null,null,null,"A1 = [ORCD*C1*a] / [ORCD*C1 + C0]",null,null,null,null,null,null,"B1 = [ORCD*D1*b] / [ORCD*D1 + D0]"]
[]
[null,"RR：","M1 = m* p1    and    N1 = n * p0",null,null,null,null,null,"A1 = [RRCD*M1*a] / [RRCD*M1 + M0]",null,null,null,null,null,null,"B1 = [RRCD*N1*b] / [RRCD*N1 +  N0]"]
[]
[null,"RD：","M1 = m* p1    and    N1 = n * p0",null,null,null,null,null,"A1 = [RDCD*M1*M0 + M1*a] / m",null,null,null,null,null,null,"B1 = [RDCD*N1*N0 + N1*b] / n"]
[]
[null,"OR(C-E)：","OR(C-E)=p1m・(1-p0)n/[(1-p1)m・p0n]",null,null,null,null,null,null,null,null,null,null,"p1={[(1-p0/-p0]・OR(C-E)-1+1}-1"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"COUNT($M140:$M100139)=0","v":true}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"IF(Illegal=0,\"\",MAX_MIN(1,$C140:$C100139,$B140:$B100139,IF($AD130,0,4)))","v":0},{"$f":"IF(Illegal=0,\"\",MAX_MIN(2,$C140:$C100139,$B140:$B100139,IF($AD130,0,4)))","v":0}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"IF(Illegal=0,\"\",MAX_MIN(1,$E140:$E100139,$B140:$B100139,IF($AD130,0,4)))","v":0},{"$f":"IF(Illegal=0,\"\",MAX_MIN(2,$E140:$E100139,$B140:$B100139,IF($AD130,0,4)))","v":0}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"_xlfn.PERCENTILE.EXC(G140:G5139,0.025)","v":{"$error":"#NUM!"}},{"$f":"_xlfn.PERCENTILE.EXC(G140:G5139,0.975)","v":{"$error":"#NUM!"}},null,null,{"$f":"IF(Illegal=0,\"\",MAX_MIN(1,$G140:$G100139,$B140:$B100139,IF($AD130,0,4)))","v":0},{"$f":"IF(Illegal=0,\"\",MAX_MIN(2,$G140:$G100139,$B140:$B100139,IF($AD130,0,4)))","v":0}]
[null,null,{"$f":"IF(OR(LEFT(S11,3)=\"Log\",LEFT(S11,5)=\"expit\",LEFT(S12,3)=\"Log\",LEFT(S12,5)=\"expit\",AND(S11=S12,MIN(C140:C100139,E140:E100139)>0,IFERROR(MAX(C140:C100139,E140:E100139)/MEDIAN(C140:C100139,E140:E100139),0)>10)),\"対数\",\"\")","v":""},null,null,null,{"$f":"IF(OR(LEFT(S13,3)=\"Log\",LEFT(S13,5)=\"expit\",AND(MIN(G140:G100139)>0,IFERROR(MAX(G140:G100139)/MEDIAN(G140:G100139),0)>10)),\"対数\",\"\")","v":""},null,null,null,null,null,{"$f":"IF(AND(MIN(M140:M100139)>0,IFERROR(MAX(M140:M100139)/MEDIAN(M140:M100139),0)>10),\"対数\",\"\")","v":""}]
[null,null,{"$f":"C139 & \", \" & E139","v":"p(C+|E+), p(C+|E-)"},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"MIN(C140:C100139,E140:E100139)","v":0},{"$f":"MAX(C140:C100139,E140:E100139)","v":0},{"$f":"IF(C134=\"対数\",(LOG10(V135)-LOG10(U135))/20,(V135-U135)/20)","v":0},{"$f":"MIN(G140:G100139)","v":0},{"$f":"MAX(G140:G100139)","v":0},{"$f":"IF(G134=\"対数\",(LOG10(Y135)-LOG10(X135))/20,(Y135-X135)/20)","v":0},null,2,"両方"]
[null,null,null,null,null,null,null,null,null,{"$f":"ROUNDDOWN(U135,2)","v":0},{"$f":"ROUNDUP(V135,2)","v":0},{"$f":"ROUNDDOWN(MIN(G140:G639,I140:I639),1)","v":0},{"$f":"ROUNDUP(Y135,1)+(ROUNDUP(Y135,1)-L136)","v":0},{"$f":"ROUNDDOWN(MIN(M140:M2139),-1*LOG(MIN(M140:M2139))+1)","v":{"$error":"#NUM!"}},{"$f":"ROUNDUP(MAX(M140:M2139),1)","v":0},null,null,null,null,null,{"$f":"ROUNDDOWN(MIN(E140:E100139),3)","v":0},{"$f":"MAX(E140:E100139)","v":0},{"$f":"(V136-U136)/20","v":0},{"$f":"IF(H11<>H12,TRUE,FALSE)","v":false},null,null,null,{"$f":"IF($M$134=\"対数\",(LOG10(AB138)-LOG10(AB137))/20,(AB138-AB137)/20)","v":0},"RR",{"$f":"IF(AND(COUNT(C140:I140)>2,Illegal>0),CONCATENATE(\"Exclude error data \",CHAR(13),V139,\"：\",ROUND(AD131,3),\"～\",ROUND(AE131,3),CHAR(13),X139,\"：\",ROUND(AD132,3),\"～\",ROUND(AE132,3),CHAR(13),Z139,\"：\",ROUND(AD133,3),\"～\",ROUND(AE133,3),\"\"))","v":false}]
[null,null,"Single Iteration",null,null,null,null,null,null,null,1,0.1,{"$f":"COUNTIF(M140:M100140,\"<\" & (K137+L137))-COUNTIF(M140:M100140,\"<\" & (K137-L137))","v":0},null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"MAX(V140:X162)","v":0},null,{"$f":"IF($M$134=\"対数\",IF(AB135=2,MIN(K140:K100139),IF(AB135=3,MIN(M140:M100139),MIN(K140:M100139))),ROUNDDOWN(IF(AB135=2,MIN(K140:K100139),IF(AB135=3,MIN(M140:M100139),MIN(K140:M100139))),2))","v":0},"OR"]
[null,null,"Chosen Bias Parameters",null,null,null,null,null,null,null,"Syst Error",null,null,null," + Rand Error",null,null,null,null,null,"Histogram",null,null,null,null,{"$f":"MAX(Z140:Z162)","v":0},null,{"$f":"ROUNDUP(IF(AB135=2,MAX(K140:K100139),IF(AB135=3,MAX(M140:M100139),MAX(K140:K100139,M140:M100139))),2)","v":0}]
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{"sheet":"UnmeasuredConfound_EMM","index":3,"n_rows":163,"n_cols":40,"rows_kept":163,"cut":false,"hidden":true,"merged":[[13,12,13,13],[10,8,10,11],[88,6,88,7],[88,14,88,15],[38,4,38,5],[24,5,25,6],[20,9,21,10],[22,9,23,10],[24,9,25,10],[31,14,31,15],[27,1,27,22],[33,1,33,22],[37,4,37,5],[22,16,23,17],[24,16,25,17],[24,12,25,13],[13,18,13,19],[18,16,18,21],[19,19,19,21],[29,14,29,15],[11,18,11,19],[12,18,12,19],[39,4,39,5],[12,12,12,13],[5,1,5,22],[8,12,8,16],[10,12,10,13],[11,8,11,11],[12,8,12,11],[12,2,12,5],[14,2,14,5],[39,8,39,9],[24,2,25,3],[20,0,21,1],[22,0,23,1],[20,16,21,17],[17,1,17,22],[29,11,29,12],[19,5,19,7],[19,9,19,11],[19,12,19,14],[19,16,19,18],[18,2,18,7],[18,9,18,14],[14,15,14,16],[20,12,21,13],[22,5,23,6],[11,12,11,13],[125,8,125,13],[125,15,125,20],[120,1,120,16],[123,1,124,1],[123,2,123,6],[123,8,123,13],[123,15,123,20],[45,1,46,2],[42,1,42,22],[112,11,112,13],[110,11,110,19],[89,10,89,13],[90,10,90,13],[91,10,91,13],[89,6,89,7],[90,6,90,7],[91,6,91,7],[89,14,89,15],[90,14,90,15],[91,14,91,15],[110,6,110,9],[87,14,87,15],[87,6,87,7],[100,16,100,26],[4,1,4,22],[22,12,23,13],[30,14,30,15],[19,2,19,4],[138,20,138,24],[127,1,128,1],[127,2,127,6],[127,8,127,13],[127,15,127,20],[22,2,23,3],[85,1,85,22],[116,1,116,22],[122,1,122,22],[118,1,119,16],[38,13,38,14],[39,13,39,14],[37,8,37,9],[35,12,35,18],[125,1,126,1],[125,2,125,6],[37,17,37,18],[38,17,38,18],[39,17,39,18],[37,13,37,14],[129,2,129,11],[129,13,129,20],[6,19,6,22],[2,32,2,33],[2,28,2,29],[2,30,2,31],[117,1,117,16],[87,21,87,22],[20,19,21,20],[22,19,23,20],[24,19,25,20],[10,2,10,5],[11,2,11,5],[13,8,13,11],[45,3,45,18],[31,11,31,12],[20,2,21,3],[20,5,21,6],[111,11,111,13],[2,1,3,16],[30,11,30,12],[10,18,10,19],[15,4,15,5],[100,6,109,10],[100,11,109,15],[101,19,101,20],[101,21,101,22],[102,19,102,20],[103,19,103,20],[104,19,104,20],[105,19,105,20],[38,8,38,9],[88,21,88,22],[87,19,87,20],[88,19,88,20]]}
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"number of persons"]
[null,"UNMEASURED CONFOUNDING with effect modification (OR , RR or RD)",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"person time"]
[null,"This spreadsheet can be used to conduct a simple sensitivity analysis to correct for unknown or unmeasured confounding. The example follows  Greenland, S., and T. L. Lash. 2008. chapter 19  Bias analysis. In Modern Epidemiology,  K. J.Rothman, S. Greenland, and T. L. Lash, 3rd ed",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"RR Calculations",null,"OR Calculations",null,"Calculations"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Round Places",{"$f":"IF(C27>10,1,IF(C27>1,2,IF(C27>0.1,3,IF(C27>0.01,4,IF(C27>0.001,5,IF(C27>0.0001,6,IF(C27>0.00001,7,IF(C27>0.000001,8,9))))))))","v":{"$error":"#DIV/0!"}},"Round Places",{"$f":"IF(C27>10,1,IF(C27>1,2,IF(C27>0.1,3,IF(C27>0.01,4,IF(C27>0.001,5,IF(C27>0.0001,6,IF(C27>0.00001,7,IF(C27>0.000001,8,9))))))))","v":{"$error":"#DIV/0!"}},"Round Places",{"$f":"IF(OR(COUNT(AH5,AH7,AH8,AH9)=0,MIN(ABS(AH5),ABS(AH7),ABS(AH8),ABS(AH9))>=10),0,ROUNDUP(ABS(LOG10(MIN(ABS(AH5),ABS(AH7),ABS(AH8),ABS(AH9)))),0)+1)","v":{"$error":"#DIV/0!"}},{"$f":"I11","v":"(C+|E+)"},{"$f":"I12","v":"(C+|E-)"},{"$f":"I13","v":"(CD|E+)"},{"$f":"I14","v":"(CD|E-)"}]
[null,"Instructions",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Crude RR",{"$f":"(C21/C25)/(F21/F25)","v":{"$error":"#DIV/0!"}},"Crude OR",{"$f":"(C21/C23)/(F21/F23)","v":{"$error":"#DIV/0!"}},"Crude RD",{"$f":"(C21/C25)-(F21/F25)","v":{"$error":"#DIV/0!"}},0.1,0.1,2,2]
[null,"Enter bias parameters in blue cells to the right and the crude data in the blue cells below. Cells in green give the results after adjusting for the unmeasured confounder. ",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"SE(LN(RR))",{"$f":"SQRT(1/C21-1/C25+1/F21-1/F25)","v":{"$error":"#DIV/0!"}},"SE(LN(OR))",{"$f":"SQRT(1/C21+1/C23+1/F21+1/F23)","v":{"$error":"#DIV/0!"}},"SE(RD)",{"$f":"SQRT((C21*C23)/(C25^3)+(F21*F23)/(F25^3))","v":{"$error":"#DIV/0!"}},0.2,0.2,3,3]
[null,"Input Bias Parameters",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Confirm distribution",null,null,null,null,null,null,null,null,"C+ (Total)",{"$f":"J25+M25","v":{"$error":"#VALUE!"}},"C+ Total",{"$f":"J25+M25","v":{"$error":"#VALUE!"}},"MH RD",{"$f":"(((J21*M25-M21*J25)/(J25+M25))+((Q21*T25-T21*Q25)/(Q25+T25)))/((J25*M25/(J25+M25))+(Q25*T25/(Q25+T25)))","v":{"$error":"#VALUE!"}},null,null,4,4]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"C- (Total)",{"$f":"Q25+T25","v":{"$error":"#VALUE!"}},"C- Total",{"$f":"Q25+T25","v":{"$error":"#VALUE!"}},"RD C+",{"$f":"(J21/J25)-(M21/M25)","v":{"$error":"#VALUE!"}}]
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[null,null,"Crude",null,null,null,"Measure (95% CI)",null,null,null,null,{"$f":"IF(C13<>\"\",CONCATENATE(C13,\" +\"),\"C+\")","v":"C+"},null,null,{"$f":"IF(C13<>\"\",CONCATENATE(C13,\" -\"),\"C-\")","v":"C-"},null,null,null,null,null,null,null,null,null,null,{"$f":"IF($M$9=\"Setting of Probabilistic\",20000,\"\")","v":""},null,null,"Negativce Cell",{"$f":"IF(OR(Q21<0,Q23<0,T21<0,T23<0),1,0)","v":{"$error":"#VALUE!"}}]
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[null,null,null,null,{"$f":"IF(C12<>\"\",IF(C11<>\"\",CONCATENATE(\"RR (\",C12,\"-\",C11,\")\"),\"RR (ED)\"),\"RR (ED)\")","v":"RR (ED)"},null,{"$f":"IF(ISERROR(CONCATENATE(ROUND(AD5,AD4),\" (\",ROUND(EXP(LN(AD5)-1.96*AD6),AD4),\" - \",ROUND(EXP(LN(AD5)+1.96*AD6),AD4),\")\"))=FALSE,CONCATENATE(ROUND(AD5,AD4),\" (\",ROUND(EXP(LN(AD5)-1.96*AD6),AD4),\" - \",ROUND(EXP(LN(AD5)+1.96*AD6),AD4),\")\"),\"ERR\")","v":"ERR"},null,null,null,null,{"$f":"IF(ISERROR((J21/J25)/(M21/M25))=FALSE,ROUND((J21/J25)/(M21/M25),2),\"ERR\")","v":"ERR"},null,null,{"$f":"IF(ISERROR((Q21/Q25)/(T21/T25))=FALSE,ROUND((Q21/Q25)/(T21/T25),2),\"ERR\")","v":"ERR"},null,null,null,null,null,null,null,null,null,null,{"$f":"IF($M$9=\"Setting of Probabilistic\",100000,\"\")","v":""}]
[null,null,null,null,{"$f":"IF(C12<>\"\",IF(C11<>\"\",CONCATENATE(\"RD (\",C12,\"-\",C11,\")\"),\"RD (ED)\"),\"RD (ED)\")","v":"RD (ED)"},null,{"$f":"IF(ISERROR(AH5)=FALSE,CONCATENATE(ROUND(AH5,AH4),\" (\",ROUND(AH5-1.96*AH6,AH4),\" to \",ROUND(AH5+1.96*AH6,AH4),\")\"),\"ERR\")","v":"ERR"},null,null,null,null,{"$f":"IF(ISERROR(AH8)=FALSE,ROUND(AH8,AH16),\"ERR\")","v":"ERR"},null,null,{"$f":"IF(ISERROR(AH9)=FALSE,ROUND(AH9,AH4),\"ERR\")","v":"ERR"}]
[]
[null,{"$f":"CONCATENATE(IF(C12<>\"\",IF(C11<>\"\",CONCATENATE(C12,\"-\",C11,\" Relationship \"),\"Results \"),\"Results \"),IF(C13<>\"\",CONCATENATE(\"Adjusted for \",C13),\"Adjusted for Unmeasured Confounder\"))","v":"Results Adjusted for Unmeasured Confounder"}]
[]
[null,null,"Standardized Morbidity Ratio/ Difference",null,null,null,null,null,null,null,null,null,"Mantel-Haenszel"]
[]
[null,null,"SMROR",null,{"$f":"IF(ISERROR(AF9)=FALSE,AF9,\"ERR\")","v":"ERR"},null,null,"ORc",{"$f":"IF(ISNUMBER(E38),((C21/C23)/(F21/F23))/E38,\"ERR\")","v":"ERR"},null,null,null,"MHOR",{"$f":"IF(ISERROR(AF11)=FALSE,AF11,\"ERR\")","v":"ERR"},null,null,"ORc",{"$f":"IF(ISNUMBER(N38),((C21/C23)/(F21/F23))/N38,\"ERR\")","v":"ERR"}]
[null,null,"SMRRR",null,{"$f":"IF(ISERROR(AD9)=FALSE,AD9,\"ERR\")","v":"ERR"},null,null,"RRc",{"$f":"IF(ISNUMBER(E39),AD5/E39,\"ERR\")","v":"ERR"},null,null,null,"MHRR",{"$f":"IF(ISERROR(AD11)=FALSE,AD11,\"ERR\")","v":"ERR"},null,null,"RRc",{"$f":"IF(ISNUMBER(N39),AD5/N39,\"ERR\")","v":"ERR"}]
[null,null,"SMDRD",null,{"$f":"IF(ISERROR(AH10)=FALSE,AH10,\"ERR\")","v":"ERR"},null,null,"RDc",{"$f":"IF(ISNUMBER(E40),AH5/E40,\"ERR\")","v":"ERR"},null,null,null,"MHRD",{"$f":"IF(ISERROR(AH7)=FALSE,AH7,\"ERR\")","v":"ERR"},null,null,"RDc",{"$f":"IF(ISNUMBER(N40),(AH5)-N40,\"ERR\")","v":"ERR"}]
[]
[]
[null,{"$f":"CONCATENATE(\"Multidimensional \",P15,\" \",IF(C12<>\"\",IF(C11<>\"\",CONCATENATE(C12,\"-\",C11,\" Relationship \"),\"Results \"),\"Results \"),IF(C13<>\"\",CONCATENATE(\"Adjusted for \",C13),\"Adjusted for Unmeasured Confounder\"))","v":"Multidimensional  Results Adjusted for Unmeasured Confounder"}]
[null,{"$f":"IF(P15<>\"RD\",\"IF RR OR or RR and  MH<1 THEN -1/MH \",\"\")","v":"IF RR OR or RR and  MH<1 THEN -1/MH "}]
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[{"$f":"IF($B$49=\"\",\"\",IF(COUNTIF($A$49:A64,$P$11)<=$P$13,IF(A64<$P$11,A64+1,0),\"\"))","v":""},{"$f":"IF(A65<>\"\",IF(A65=0,IF($M$16=TRUE,INDEX($AK$5:$AK$14,COUNTIF($A$49:A64,1)+1),$B$49+$Q$13*COUNTIF($A$49:A64,1)),B64),\"\")","v":""},""]
[{"$f":"IF($B$49=\"\",\"\",IF(COUNTIF($A$49:A65,$P$11)<=$P$13,IF(A65<$P$11,A65+1,0),\"\"))","v":""},{"$f":"IF(A66<>\"\",IF(A66=0,IF($M$16=TRUE,INDEX($AK$5:$AK$14,COUNTIF($A$49:A65,1)+1),$B$49+$Q$13*COUNTIF($A$49:A65,1)),B65),\"\")","v":""},""]
[{"$f":"IF($B$49=\"\",\"\",IF(COUNTIF($A$49:A66,$P$11)<=$P$13,IF(A66<$P$11,A66+1,0),\"\"))","v":""},{"$f":"IF(A67<>\"\",IF(A67=0,IF($M$16=TRUE,INDEX($AK$5:$AK$14,COUNTIF($A$49:A66,1)+1),$B$49+$Q$13*COUNTIF($A$49:A66,1)),B66),\"\")","v":""},""]
[{"$f":"IF($B$49=\"\",\"\",IF(COUNTIF($A$49:A67,$P$11)<=$P$13,IF(A67<$P$11,A67+1,0),\"\"))","v":""},{"$f":"IF(A68<>\"\",IF(A68=0,IF($M$16=TRUE,INDEX($AK$5:$AK$14,COUNTIF($A$49:A67,1)+1),$B$49+$Q$13*COUNTIF($A$49:A67,1)),B67),\"\")","v":""},""]
[{"$f":"IF($B$49=\"\",\"\",IF(COUNTIF($A$49:A68,$P$11)<=$P$13,IF(A68<$P$11,A68+1,0),\"\"))","v":""},{"$f":"IF(A69<>\"\",IF(A69=0,IF($M$16=TRUE,INDEX($AK$5:$AK$14,COUNTIF($A$49:A68,1)+1),$B$49+$Q$13*COUNTIF($A$49:A68,1)),B68),\"\")","v":""},""]
[{"$f":"IF($B$49=\"\",\"\",IF(COUNTIF($A$49:A69,$P$11)<=$P$13,IF(A69<$P$11,A69+1,0),\"\"))","v":""},{"$f":"IF(A70<>\"\",IF(A70=0,IF($M$16=TRUE,INDEX($AK$5:$AK$14,COUNTIF($A$49:A69,1)+1),$B$49+$Q$13*COUNTIF($A$49:A69,1)),B69),\"\")","v":""},""]
[{"$f":"IF($B$49=\"\",\"\",IF(COUNTIF($A$49:A70,$P$11)<=$P$13,IF(A70<$P$11,A70+1,0),\"\"))","v":""},{"$f":"IF(A71<>\"\",IF(A71=0,IF($M$16=TRUE,INDEX($AK$5:$AK$14,COUNTIF($A$49:A70,1)+1),$B$49+$Q$13*COUNTIF($A$49:A70,1)),B70),\"\")","v":""},""]
[{"$f":"IF($B$49=\"\",\"\",IF(COUNTIF($A$49:A71,$P$11)<=$P$13,IF(A71<$P$11,A71+1,0),\"\"))","v":""},{"$f":"IF(A72<>\"\",IF(A72=0,IF($M$16=TRUE,INDEX($AK$5:$AK$14,COUNTIF($A$49:A71,1)+1),$B$49+$Q$13*COUNTIF($A$49:A71,1)),B71),\"\")","v":""},""]
[{"$f":"IF($B$49=\"\",\"\",IF(COUNTIF($A$49:A72,$P$11)<=$P$13,IF(A72<$P$11,A72+1,0),\"\"))","v":""},{"$f":"IF(A73<>\"\",IF(A73=0,IF($M$16=TRUE,INDEX($AK$5:$AK$14,COUNTIF($A$49:A72,1)+1),$B$49+$Q$13*COUNTIF($A$49:A72,1)),B72),\"\")","v":""},""]
[{"$f":"IF($B$49=\"\",\"\",IF(COUNTIF($A$49:A73,$P$11)<=$P$13,IF(A73<$P$11,A73+1,0),\"\"))","v":""},{"$f":"IF(A74<>\"\",IF(A74=0,IF($M$16=TRUE,INDEX($AK$5:$AK$14,COUNTIF($A$49:A73,1)+1),$B$49+$Q$13*COUNTIF($A$49:A73,1)),B73),\"\")","v":""},""]
[{"$f":"IF($B$49=\"\",\"\",IF(COUNTIF($A$49:A74,$P$11)<=$P$13,IF(A74<$P$11,A74+1,0),\"\"))","v":""},{"$f":"IF(A75<>\"\",IF(A75=0,IF($M$16=TRUE,INDEX($AK$5:$AK$14,COUNTIF($A$49:A74,1)+1),$B$49+$Q$13*COUNTIF($A$49:A74,1)),B74),\"\")","v":""},""]
[{"$f":"IF($B$49=\"\",\"\",IF(COUNTIF($A$49:A75,$P$11)<=$P$13,IF(A75<$P$11,A75+1,0),\"\"))","v":""},{"$f":"IF(A76<>\"\",IF(A76=0,IF($M$16=TRUE,INDEX($AK$5:$AK$14,COUNTIF($A$49:A75,1)+1),$B$49+$Q$13*COUNTIF($A$49:A75,1)),B75),\"\")","v":""},""]
[{"$f":"IF($B$49=\"\",\"\",IF(COUNTIF($A$49:A76,$P$11)<=$P$13,IF(A76<$P$11,A76+1,0),\"\"))","v":""},{"$f":"IF(A77<>\"\",IF(A77=0,IF($M$16=TRUE,INDEX($AK$5:$AK$14,COUNTIF($A$49:A76,1)+1),$B$49+$Q$13*COUNTIF($A$49:A76,1)),B76),\"\")","v":""},""]
[{"$f":"IF($B$49=\"\",\"\",IF(COUNTIF($A$49:A77,$P$11)<=$P$13,IF(A77<$P$11,A77+1,0),\"\"))","v":""},{"$f":"IF(A78<>\"\",IF(A78=0,IF($M$16=TRUE,INDEX($AK$5:$AK$14,COUNTIF($A$49:A77,1)+1),$B$49+$Q$13*COUNTIF($A$49:A77,1)),B77),\"\")","v":""},""]
[{"$f":"IF($B$49=\"\",\"\",IF(COUNTIF($A$49:A78,$P$11)<=$P$13,IF(A78<$P$11,A78+1,0),\"\"))","v":""},{"$f":"IF(A79<>\"\",IF(A79=0,IF($M$16=TRUE,INDEX($AK$5:$AK$14,COUNTIF($A$49:A78,1)+1),$B$49+$Q$13*COUNTIF($A$49:A78,1)),B78),\"\")","v":""},""]
[{"$f":"IF($B$49=\"\",\"\",IF(COUNTIF($A$49:A79,$P$11)<=$P$13,IF(A79<$P$11,A79+1,0),\"\"))","v":""},{"$f":"IF(A80<>\"\",IF(A80=0,IF($M$16=TRUE,INDEX($AK$5:$AK$14,COUNTIF($A$49:A79,1)+1),$B$49+$Q$13*COUNTIF($A$49:A79,1)),B79),\"\")","v":""},""]
[{"$f":"IF($B$49=\"\",\"\",IF(COUNTIF($A$49:A80,$P$11)<=$P$13,IF(A80<$P$11,A80+1,0),\"\"))","v":""},{"$f":"IF(A81<>\"\",IF(A81=0,IF($M$16=TRUE,INDEX($AK$5:$AK$14,COUNTIF($A$49:A80,1)+1),$B$49+$Q$13*COUNTIF($A$49:A80,1)),B80),\"\")","v":""},""]
[{"$f":"IF($B$49=\"\",\"\",IF(COUNTIF($A$49:A81,$P$11)<=$P$13,IF(A81<$P$11,A81+1,0),\"\"))","v":""},{"$f":"IF(A82<>\"\",IF(A82=0,IF($M$16=TRUE,INDEX($AK$5:$AK$14,COUNTIF($A$49:A81,1)+1),$B$49+$Q$13*COUNTIF($A$49:A81,1)),B81),\"\")","v":""},""]
[{"$f":"IF($B$49=\"\",\"\",IF(COUNTIF($A$49:A82,$P$11)<=$P$13,IF(A82<$P$11,A82+1,0),\"\"))","v":""},{"$f":"IF(A83<>\"\",IF(A83=0,IF($M$16=TRUE,INDEX($AK$5:$AK$14,COUNTIF($A$49:A82,1)+1),$B$49+$Q$13*COUNTIF($A$49:A82,1)),B82),\"\")","v":""},""]
[{"$f":"IF($B$49=\"\",\"\",IF(COUNTIF($A$49:A83,$P$11)<=$P$13,IF(A83<$P$11,A83+1,0),\"\"))","v":""},{"$f":"IF(A84<>\"\",IF(A84=0,IF($M$16=TRUE,INDEX($AK$5:$AK$14,COUNTIF($A$49:A83,1)+1),$B$49+$Q$13*COUNTIF($A$49:A83,1)),B83),\"\")","v":""},""]
[]
[null,{"$f":"CONCATENATE(IF(C11<>\"\",IF(C12<>\"\",CONCATENATE(C11,\"-\",C12,\" Relationship \"),\"Results \"),\"Results \"),IF(C13<>\"\",CONCATENATE(\"Adjusted for \",C13),\"Adjusted for Unmeasured Confounder\"))","v":"Results Adjusted for Unmeasured Confounder"}]
[]
[null,null,null,null,null,{"$f":"IF(B26=2,\"Incidence RR\",\"RR\") & \" Simulation Results (N=\"","v":"RR Simulation Results (N="},{"$f":"COUNT($K$141:$K$100140)","v":0},null,")",null,null,null,null,"OR Simulation Results (N=",{"$f":"COUNT(M141:M100140)","v":0},null,")",null,null,"Errors:",null,{"$f":"IF(AND(O88>0,COUNT(B141:B100140)>0),COUNT(B141:B100140)-COUNTIF(B141:B100140,4),\"-\")","v":"-"}]
[{"$f":"MAX($B$143:$B$100142)=4","v":false},"Analysis",null,null,null,"Median (2.5%ile-97.5%ile)",null,null,null,null,"Median (2.5%ile-97.5%ile)",null,null,null,null,null,null,null,null,{"$f":"IF(samp,\"re-sampling\",\"-\")","v":"-"},null,"-"]
[null,"Conventional",null,{"$f":"G31","v":"ERR"},null,null,"－",null,null,null,{"$f":"G30","v":"ERR"},null,null,null,"－",null,null,null,null,null,null,null,false]
[null,"Systematic",null,{"$f":"IF($A$89,CONCATENATE(ROUND(PERCENTILE(K141:K100140,0.5),2),\" (\",ROUND(PERCENTILE(K141:K100140,0.025),2),\" - \",ROUND(PERCENTILE(K141:K100140,0.975),2),\")\"),\"\")","v":""},null,null,{"$f":"IF(I89=\"\",\"－\",ROUND(COUNTIF(K$141:K$100140,IF(G89=\"Freq of RR≧\",\">=\",\"<=\") & I89)/COUNT(K$141:K$100140),ROUNDDOWN(LOG10(G88),0)))","v":"－"},null,false,null,{"$f":"IF($A$89,CONCATENATE(ROUND(PERCENTILE(M141:M100140,0.5),2),\" (\",ROUND(PERCENTILE(M141:M100140,0.025),2),\" - \",ROUND(PERCENTILE(M141:M100140,0.975),2),\")\"),\"\")","v":""},null,null,null,{"$f":"IF(Q89=\"\",\"－\",ROUND(COUNTIF(M$141:M$100140,IF(O89=\"Freq of OR≧\",\">=\",\"<=\") & Q89)/COUNT(M$141:M$100140),ROUNDDOWN(LOG10(O88),0)))","v":"－"},null,false]
[null,"Total Error",null,{"$f":"IF($A$89,CONCATENATE(ROUND(PERCENTILE(O141:O100140,0.5),2),\" (\",ROUND(PERCENTILE(O141:O100140,0.025),2),\" - \",ROUND(PERCENTILE(O141:O100140,0.975),2),\")\"),\"\")","v":""},null,null,{"$f":"IF(I89=\"\",\"－\",ROUND(COUNTIF(O$141:O$100140,IF(G89=\"Freq of RR≧\",\">=\",\"<=\") & I89)/COUNT(O$141:O$100140),ROUNDDOWN(LOG10(G88),0)))","v":"－"},null,false,null,{"$f":"IF($A$89,CONCATENATE(ROUND(PERCENTILE(Q141:Q100140,0.5),2),\" (\",ROUND(PERCENTILE(Q141:Q100140,0.025),2),\" - \",ROUND(PERCENTILE(Q141:Q100140,0.975),2),\")\"),\"\")","v":""},null,null,null,{"$f":"IF(Q89=\"\",\"－\",ROUND(COUNTIF(Q$141:Q$100140,IF(O89=\"Freq of OR≧\",\">=\",\"<=\") & Q89)/COUNT(Q$141:Q$100140),ROUNDDOWN(LOG10(O88),0)))","v":"－"},null,false,null,null,null,{"$f":"COUNT(C141:C100140)","v":0}]
[]
[null,null,{"$f":"IF(ExEr,\"Distribution of used parameters\",\"Distribution of setting parameters\")","v":"Distribution of setting parameters"}]
[]
[]
[]
[]
[]
[]
[null,null,null,null,null,null,{"$f":"IF(OR(B94<>\"\",AND(ExEr,Illegal>0)),CHAR(13)&CHAR(10)&CHAR(13)&CHAR(10)&CHAR(13)&CHAR(10)&\"Plots of \"&IF(AND(ExEr,Illegal>0),\" exclude error data \",\"\") & IF(AND(B94<>\"\",AND(ExEr,Illegal>0)),\" and \",\"\") & B94,\"\")","v":""},null,null,null,null,null,null,null,null,null,"Summary of used parameters"]
[null,null,"-",1,null,null,null,null,null,null,null,null,null,null,null,null,"Summary of used parameters",null,"Min","2.5%tile",null,"Median",null,"97.5%tile","Max","Mode","Mean"]
[null,null,{"$f":"IF($B$26=2,\"I\",\"\") & \"RRsys\"","v":"RRsys"},null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"C140","v":"p(C+|E+)"},null,0.10836258653402926,0.21236717941571401,null,0.5457275012171936,null,0.83454333101392841,0.93340147908794158,0.46120362399462667,0.54253644464032713]
[null,null,{"$f":"IF($B$26=2,\"I\",\"\") & \"RRtotal\"","v":"RRtotal"},null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"E140","v":"p(C+|E-)"},null,0.40010324716567996,0.40528880119323735,null,0.55241860151290889,null,0.69152054488658898,0.69981671571731563,0.40150889009237289,0.54966929435729972]
[null,null,"ORsys",null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"G140","v":"(C-D]|E+)"},null,2115.3079801366698,3300.0136651924504,null,5711.2432649807288,null,10094.508064089661,14700.739958558379,0,5963.7058271264559]
[null,null,"ORtotal",null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"I140","v":"(C-D|E-)"},null,2115.3079801366698,3300.0136651924504,null,5711.2432649807288,null,10094.508064089661,14700.739958558379,0,5963.7058271264559]
[]
[]
[]
[]
[]
[null,null,null,null,null,null,null,null,null,null,{"$f":"IF(LEFT($S$12,9)=\"Correlate\",\"Correlation coefficient between \" & $C$140 & \" and \" & $E$140,\"\")","v":""},{"$f":"IF($K$112<>\"\",CORREL($C$141:$C$100140,$E$141:$E$100140),\"\")","v":""},null,null,null,null,false]
[null,null,null,null,null,null,null,null,null,null,{"$f":"IF(LEFT($S$14,9)=\"Correlate\",\"Correlation coefficient between \" & CHOOSE(VALUE(RIGHT($S$14,1)),$C$140,$E$140,$G$140) & \" and \" & $I$140,\"\")","v":""},{"$f":"IF($K$113<>\"\",CORREL(CHOOSE(VALUE(RIGHT($S$14,1)),$C$141:$C$100140,$E$141:$E$100140,$G$141:$G$100140),$I$141:$I$100140),\"\")","v":""}]
[]
[]
[]
[null,"Notes"]
[null,"The data for this example come from:  "]
[null,"Momosaki R, Yasunaga H, Matsui H, Fushimi K, Abo M. Proton Pump Inhibitors versus Histamine-2 Receptor Antagonists and Risk of Pneumonia in Patients with Acute Stroke. J Stroke Cerebrovasc Dis. 2016 May;25(5):1035-40."]
[]
[]
[]
[null,"Equations"]
[null,"OR：","C1 = c* p1    and    D1 = d * p0",null,null,null,null,null,"A1 = [ORCD1*C1*a] / [ORCD1*C1 + C0]",null,null,null,null,null,null,"B1 = [ORCD0*D1*b] / [ORCD0*D1 + D0]"]
[]
[null,"RR：","M1 = m* p1    and    N1 = n * p0",null,null,null,null,null,"A1 = [RRCD1*M1*a] / [RRCD1*M1 + M0]",null,null,null,null,null,null,"B1 = [RRCD0*N1*b] / [RRCD0*N1 +  N0]"]
[]
[null,"RD：","M1 = m* p1    and    N1 = n * p0",null,null,null,null,null,"A1 = [RDCD1*M1*M0 + M1*a] / m",null,null,null,null,null,null,"B1 = [RDCD0*N1*N0 + N1*b] / n"]
[]
[null,"OR(C-E)：","OR(C-E)=p1m・(1-p0)n/[(1-p1)m・p0n]",null,null,null,null,null,null,null,null,null,null,"p1={[(1-p0/-p0]・OR(C-E)-1+1}-1",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"COUNT($M141:$M100140)=0","v":true}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"IF(Illegal=0,\"\",MAX_MIN(1,$C141:$C100140,$B141:$B100140,IF($AD130,0,4)))","v":0},{"$f":"IF(Illegal=0,\"\",MAX_MIN(2,$C141:$C100140,$B141:$B100140,IF($AD130,0,4)))","v":0}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"IF(Illegal=0,\"\",MAX_MIN(1,$E141:$E100140,$B141:$B100140,IF($AD130,0,4)))","v":0},{"$f":"IF(Illegal=0,\"\",MAX_MIN(2,$E141:$E100140,$B141:$B100140,IF($AD130,0,4)))","v":0}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"IF(Illegal=0,\"\",MAX_MIN(1,$G141:$G100140,$B141:$B100140,IF($AD130,0,4)))","v":0},{"$f":"IF(Illegal=0,\"\",MAX_MIN(2,$G141:$G100140,$B141:$B100140,IF($AD130,0,4)))","v":0}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"IF(Illegal=0,\"\",MAX_MIN(1,$I141:$I100140,$B141:$B100140,IF($AD130,0,4)))","v":0},{"$f":"IF(Illegal=0,\"\",MAX_MIN(2,$I141:$I100140,$B141:$B100140,IF($AD130,0,4)))","v":0}]
[null,null,{"$f":"IF(OR(LEFT(S11,3)=\"Log\",LEFT(S11,5)=\"expit\",LEFT(S12,3)=\"Log\",LEFT(S12,5)=\"expit\",AND(MIN(C141:C100140,E141:E100140)>0,IFERROR(MAX(C141:C100140,E141:E100140)/MEDIAN(C141:C100140,E141:E100140),0)>10)),\"対数\",\"\")","v":""},null,null,null,{"$f":"IF(OR(LEFT(S13,3)=\"Log\",LEFT(S14,3)=\"Log\",AND(MIN(G141:G100140)>0,IFERROR(MAX(G141:G100140)/MEDIAN(G141:G100140),0)>10)),\"対数\",\"\")","v":""},null,{"$f":"IF(OR(LEFT(S14,3)=\"Log\",AND(LEFT(S13,3)=\"Log\",LEFT(S14,9)=\"Correlate\"),AND(MIN(I141:I100140)>0,IFERROR(MAX(I141:I100140)/MEDIAN(I141:I100140),0)>10)),\"対数\",\"\")","v":""},null,null,null,{"$f":"IF(AND(MIN(M141:M100140)>0,IFERROR(MAX(M141:M100140)/MEDIAN(M141:M100140),0)>10),\"対数\",\"\")","v":""}]
[null,null,{"$f":"C140 & \", \" & E140","v":"p(C+|E+), p(C+|E-)"},null,null,null,{"$f":"G140 & \", \" & I140","v":"(C-D]|E+), (C-D|E-)"},null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"MIN(C141:C2140,E141:E100140)","v":0},{"$f":"MAX(C141:C2140,E141:E100140)","v":0},{"$f":"IF(C135=\"対数\",(LOG10(V136)-LOG10(U136))/20,(V136-U136)/20)","v":0},{"$f":"MIN(G141:G100140,I141:I100140)","v":0},{"$f":"MAX(G141:G100140,I141:I100140)","v":0},{"$f":"IF(G135=\"対数\",(LOG10(Y136)-LOG10(X136))/20,(Y136-X136)/20)","v":0},null,1,"両方",{"$f":"IF(AND(COUNT(C141:I141)>3,Illegal>0),CONCATENATE(\"Exclude error data \",CHAR(13),V140,\"：\",ROUND(AD131,3),\"～\",ROUND(AE131,3),CHAR(13),W140,\"：\",ROUND(AD132,3),\"～\",ROUND(AE132,3),CHAR(13),Z140,\"：\",ROUND(AD133,3),\"～\",ROUND(AE133,3),CHAR(13),AA140,\"：\",ROUND($AD$134,3),\"～\",ROUND(AE134,3)),\"\")","v":""}]
[null,null,null,null,null,null,null,null,null,{"$f":"ROUNDDOWN(U136,2)","v":0},{"$f":"ROUNDUP(V136,2)","v":0},{"$f":"ROUNDDOWN(X136,1)","v":0},{"$f":"ROUNDUP(Y136,1)","v":0},{"$f":"ROUNDDOWN(MIN(M141:M540),-1*LOG(MIN(M141:M540))+1)","v":{"$error":"#NUM!"}},{"$f":"ROUNDUP(MAX(M141:M540),0)","v":0},null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"IF($M$135=\"対数\",(LOG10(AB139)-LOG10(AB138))/22,(AB139-AB138)/22)","v":0},"RR"]
[null,null,"Single Iteration",null,null,null,null,null,null,null,1,0.1,{"$f":"COUNTIF(M141:M100141,\"<\" & (K138+L138))-COUNTIF(M141:M100141,\"<\" & (K138-L138))","v":0},null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"MAX(V141:W163)","v":0},{"$f":"IF($M$135=\"対数\",IF(AB136=2,MIN(K141:K100140),IF(AB136=3,MIN(M141:M100140),MIN(K141:K100140,M141:M100140))),ROUNDDOWN(IF(AB136=2,MIN(K141:K100140),IF(AB136=3,MIN(M141:M100140),MIN(K141:K100140,M141:M100140))),2))","v":0},"OR"]
[null,null,"Chosen Bias Parameters",null,null,null,null,null,null,null,"Syst Error",null,null,null," + Rand Error",null,null,null,null,null,"Histogram",null,null,null,null,null,{"$f":"MAX(Z141:AA163)","v":0},{"$f":"ROUNDUP(IF(AB136=2,MAX(K141:K100140),IF(AB136=3,MAX(M141:M100140),MAX(K141:K100140,M141:M100140))),2)","v":0}]
[null,null,"p(C+|E+)",null,"p(C+|E-)",null,{"$f":"H13 & \"(C-D]|E+)\"","v":"(C-D]|E+)"},null,{"$f":"H13 & \"(C-D|E-)\"","v":"(C-D|E-)"},null,"RR",null,"OR",null,{"$f":"K140","v":"RR"},null,{"$f":"M140","v":"OR"},null,null,null,"Bins for Graphs",{"$f":"C140","v":"p(C+|E+)"},{"$f":"E140","v":"p(C+|E-)"},null,"Bins for Graphs",{"$f":"G140","v":"(C-D]|E+)"},{"$f":"I140","v":"(C-D|E-)"},null,{"$f":"K139 & \" \" & K140","v":"Syst Error RR"},{"$f":"K139 & \" \" & M140","v":"Syst Error OR"}]
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{"sheet":"Selection_Bias","index":4,"n_rows":145,"n_cols":40,"rows_kept":145,"cut":false,"hidden":true,"merged":[[25,2,25,3],[24,2,24,3],[24,30,27,36],[8,4,8,6],[10,5,10,9],[11,5,11,9],[12,5,12,9],[13,5,13,9],[10,16,10,17],[19,19,19,21],[20,19,21,20],[27,1,27,22],[19,2,19,4],[19,5,19,7],[19,9,19,11],[20,2,21,3],[22,2,23,3],[19,16,19,18],[11,16,11,17],[12,16,12,17],[13,16,13,17],[20,1,21,1],[20,12,21,12],[22,12,23,12],[30,17,30,18],[19,12,19,13],[22,1,23,1],[1,18,1,22],[17,1,17,22],[18,2,18,7],[18,9,18,14],[18,16,18,21],[11,10,11,11],[12,10,12,11],[13,10,13,11],[10,10,10,11],[5,1,5,22],[2,1,3,17],[11,2,11,4],[10,2,10,4],[13,2,13,4],[8,10,8,15],[14,10,14,11],[14,3,14,4],[6,18,6,22],[8,2,8,3],[14,16,14,17],[15,13,15,14],[30,5,30,8],[28,10,28,13],[29,17,29,18],[79,14,79,15],[79,6,79,7],[78,6,78,7],[96,19,96,20],[93,19,93,20],[94,19,94,20],[95,19,95,20],[77,6,77,7],[91,16,91,26],[90,11,98,15],[97,19,97,20],[79,10,79,13],[80,10,80,13],[81,10,81,13],[81,14,81,15],[78,14,78,15],[77,14,77,15],[77,19,77,20],[78,19,78,20],[78,21,78,22],[32,1,32,22],[111,1,111,22],[106,1,110,22],[36,1,36,2],[33,2,33,11],[35,3,35,18],[81,6,81,7],[102,11,102,13],[101,11,101,13],[100,11,100,20],[92,19,92,20],[80,14,80,15],[80,6,80,7],[103,11,103,13],[90,5,97,10],[100,6,100,9],[77,21,77,22],[75,1,75,22],[29,5,29,8],[26,16,26,21],[22,19,23,20],[26,9,26,14],[22,14,23,14],[24,16,24,17],[25,16,25,17],[24,19,24,20],[25,19,25,20],[22,16,23,17],[22,5,23,6],[20,5,21,6],[20,16,21,17],[20,9,21,10],[22,9,23,10],[20,14,21,14],[24,5,24,6],[25,5,25,6],[24,9,24,10],[25,9,25,10]]}
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"sampling ratio"]
[null,"SELECTION BIAS",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Calculations",{"$f":"IF(OR(COUNT(AD3,AD4,AD16,AD11)=0,MIN(ABS(AD3),ABS(AD4),ABS(AD16),ABS(AD11))>=10),0,ROUNDUP(ABS(LOG10(MIN(ABS(AD3),ABS(AD16),ABS(AD16),ABS(AD11)))),0)+1)","v":{"$error":"#DIV/0!"}},null,"↓Selrction OR",null,"case-control"]
[null,"This spreadsheet can be used to conduct a sensitivity analysis to correct for selection bias using estimates of the selection proportions. The example follows  Greenland, S., and T. L. Lash. 2008. chapter 19  Bias analysis. In Modern Epidemiology,  K. J.Rothman, S. Greenland, and T. L. Lash, 3rd ed",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"RR(corrected)",null,null,{"$f":"IF($B$9=3,(Q21/Q26)/(T21/T26), IF(K16,\"-\",(Q21/Q25)/(T21/T25)))","v":{"$error":"#DIV/0!"}},"",null,"Loss to follow-up"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"OR (corrected)",null,null,{"$f":"IF(K16,AD13/K15,(Q21/Q23)/(T21/T23))","v":{"$error":"#DIV/0!"}},{"$f":"AD13/AF4","v":{"$error":"#DIV/0!"}},1.0058749306960915,"exclusion",{"$f":"F11","v":"S(D+|E+)"},{"$f":"F12","v":"S(D+|E-)"},{"$f":"F13","v":"S(D-|E+)"},{"$f":"F14","v":"S(D-|E-)"}]
[null,"Instructions",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"SE(LN(RR))",null,null,{"$f":"SQRT(1/C21-1/C25+1/F21-1/F25)","v":{"$error":"#DIV/0!"}},null,null,null,0.1,0.1,0.2,0.5]
[null,"Enter the bias parameters in the blue cells to the left and the crude data in the blue cells below. The green cells give the results after adjusting for the selection proportions. Note that white cells are expected values and therefore do not have to be integers.",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"SE(LN(OR))",null,null,{"$f":"SQRT(1/C21+1/C23+1/F21+1/F23)","v":{"$error":"#DIV/0!"}},null,null,null,0.2,0.2,0.3,0.7]
[null,"Input Bias Parameters",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Confirm distribution",null,null,null,null,null,null,null,"RR (missing)",null,null,{"$f":"IF(AND($B$9<>3,$J$25=\"\",$M$25=\"\"),(J21/(J21+J23))/(M21/(M21+M23)), (J21/J25)/(M21/M25))","v":{"$error":"#DIV/0!"}},null,null,{"$f":"IF($B$9=2,\"Se/Sp\",\"M1,N1\")","v":"M1,N1"},0.3,0.3,0.4,0.8]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,null,null,null,null,null,null,"OR(missing)",null,null,{"$f":"(J21/J23)/(M21/M23)","v":{"$error":"#DIV/0!"}},null,null,{"$f":"IF($B$9=2,\"Ppv/Npv\",\"W1\")","v":"W1"},0.5,0.4,0.5]
[null,1,{"$f":"IF($B$9=2,\"Outcome-\",IF($B$9>2, \"Enter Data\",\"\"))","v":""},null,null,null,null,null,null,"Select Method","Setting of Single",null,null,null,null,null,{"$f":"COUNT(N11:O14)","v":0},null,3,null,null,null,null,null,null,null,"RR(observed)",null,null,{"$f":"IF($B$9=3,(C21/C26)/(F21/F26),(C21/C25)/(F21/F25))","v":{"$error":"#DIV/0!"}},null,null,{"$f":"IF($B$9=4,\"R1,S1\",IF($B$9=3,\"Missing person time\",\"\"))","v":""},1,0.5,0.6]
[null,"Variable Names",null,null,null,null,null,"Bias Parameters",null,null,{"$f":"IF($K$9=\"Setting of Multidimensional\",IF(L16=TRUE,\"List\",\"Min\"),IF($K$9=\"Setting of Single\",\"\",\"Min\"&IF(AND(K16,Q15=\"Log-normal\"),\"/Mean\",\"\")))","v":""},null,null,{"$f":"IF($K$9<>\"Setting of Probabilistic\",\"#Cycle\",IF(K16,IF(OR(Q15=\"Normal\",Q15=\"Log-normal\"), \"DS\",\"Max\"),IF(OR(Q11=\"Normal\",Q12=\"Normal\",Q13=\"Normal\",Q14=\"Normal\",Q11=\"Log-normal\",Q12=\"Log-normal\",Q13=\"Log-normal\",Q14=\"Log-normal\",Q11=\"Pr2+Uniform\",Q13=\"Pr4+Uniform\"),\"Max/SD\",\"Max\")))","v":"#Cycle"},{"$f":"IF($K$9<>\"Setting of Probabilistic\",\"Increment\",IF(K16,IF(OR(Q15=\"Beta\",Q15=\"Weibull\",Q15=\"expit(logit)\"),\"α\",\"\"),\"Mod1/α\"))","v":"Increment"},{"$f":"IF($K$9<>\"Setting of Probabilistic\",\"\",IF(K16,IF(OR(Q15=\"Beta\",Q15=\"Weibull\",Q15=\"expit(logit)\"),\"β\",\"\"),\"Mod2/β\"))","v":""},{"$f":"IF(Setting_Multi_Prob=\"Setting of Probabilistic\",\"Distribution\",\"\")","v":""},null,"Max",{"$f":"IF(AND(Setting_Multi_Prob=\"Setting of Probabilistic\",ISERR(SEARCH(\"Correlate\",CONCATENATE(Q11,Q12,Q13,Q14,Q15)))=FALSE),\"ρ\",\"\")","v":""},null,null,null,null,null,null,"SE(RRobs)",null,null,{"$f":"IF($B$9=3,SQRT(1/C21-1/C26+1/F21-1/F26),SQRT(1/C21-1/C25+1/F21-1/F25))","v":{"$error":"#DIV/0!"}},null,{"$f":"ISERR(SEARCH(\"Correlate\",CONCATENATE(Q11,Q12,Q13,Q14,Q15)))=fgalse","v":{"$error":"#NAME?"}},null,null,0.6,0.7]
[null,"Outcome(D)",null,null,null,{"$f":"IF($B$9=4,\"R\",IF($B$9=3,\"IR\",IF($B$9<>2,\"S\",IF($E$9=\"Ppv/Npv\",\"Ppv\",\"Se\")))) & IF(C11<>\"\",IF(C12<>\"\",CONCATENATE(\"(\",C11,\"+|\",C12,\"+)\"),CONCATENATE(\"(\",C11,\"+|E+)\")),IF(C12<>\"\",CONCATENATE(\"(D+|\",C12,\"+)\"),\"(D+|E+)\"))","v":"S(D+|E+)"},null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"IF($K$9=\"Setting of Multidimensional\",IF(AND(N11<>\"\",$T$8=0),K11+O11*N11,0),\"\")","v":""},null,null,null,{"$f":"IF(Setting_Multi_Prob=\"Setting of Probabilistic\",2,1)","v":1},{"$f":"IF(Q11=\"Expression\",SUBSTITUTE(SUBSTITUTE(SUBSTITUTE(CONCATENATE(\"Expression\",_xlfn.IFNA(_xlfn.FORMULATEXT(K11),K11)& CHAR(13),IF(N11<>\"\",\" Pr1\" & _xlfn.IFNA(_xlfn.FORMULATEXT(N11),N11) & CHAR(13),\"\"),IF(O11<>\"\",\" Pr2\" & _xlfn.IFNA(_xlfn.FORMULATEXT(O11),O11) & CHAR(13),\"\"),IF(P11<>\"\",\" Pr3\" & _xlfn.IFNA(_xlfn.FORMULATEXT(P11),P11),\"\")),\"N11\",\"Pr1\"),\"O11\",\"Pr2\"),\"P11\",\"Pr3\"),\"\")","v":""},null,null,"RR(obs-lower)",null,null,{"$f":"EXP(LN(AD9)-1.96*AD10)","v":{"$error":"#DIV/0!"}},null,null,null,null,null,0.8]
[null,"Exposure(E) ",null,null,null,{"$f":"IF($B$9=4,\"R\",IF(B9=3,\"IR\",IF($B$9<>2,\"S\",IF($E$9=\"Ppv/Npv\",\"Ppv\",\"Se\"))))&IF(C11<>\"\",IF(C12<>\"\",CONCATENATE(\"(\",C11,\"+|\",C12,\"-)\"),CONCATENATE(\"(\",C11,\"+|E-)\")),IF(C12<>\"\",CONCATENATE(\"(D+|\",C12,\"-)\"),\"(D+|E-)\"))","v":"S(D+|E-)"},null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"IF($K$9=\"Setting of Multidimensional\",IF(AND(N12<>\"\",$T$8=0),K12+O12*N12,0),\"\")","v":""},null,null,null,{"$f":"IF(Setting_Multi_Prob=\"Setting of Probabilistic\",2,1)","v":1},{"$f":"IF(Q12=\"Expression\",SUBSTITUTE(SUBSTITUTE(SUBSTITUTE(CONCATENATE(\"Expression\",_xlfn.IFNA(_xlfn.FORMULATEXT(K12),K12)& CHAR(13),IF(N12<>\"\",\" Pr1\" & _xlfn.IFNA(_xlfn.FORMULATEXT(N12),N12) & CHAR(13),\"\"),IF(O12<>\"\",\" Pr2\" & _xlfn.IFNA(_xlfn.FORMULATEXT(O12),O12) & CHAR(13),\"\"),IF(P12<>\"\",\" Pr3\" & _xlfn.IFNA(_xlfn.FORMULATEXT(P12),P12),\"\")),\"N12\",\"Pr1\"),\"O12\",\"Pr2\"),\"P12\",\"Pr3\"),\"\")","v":""},null,null,"RR(obs-upper)",null,null,{"$f":"EXP(LN(AD9)+1.96*AD10)","v":{"$error":"#DIV/0!"}}]
[null,null,null,null,56,{"$f":"IF(OR($B$9=4,AND($B$9=3,$E$9=\"Missing person time\")),\"R(\" & IF(C12<>\"\",C12,\"E\") & \"+)\",IF(B9=3,\"TM\",IF($B$9<>2,\"S\",IF($E$9=\"Ppv/Npv\",\"Npv\",\"Sp\"))) &IF(C11<>\"\",IF(C12<>\"\",CONCATENATE(\"(\",C11,\"-|\",C12,\"+)\"),CONCATENATE(\"(\",C11,\"-|E+)\")),IF(C12<>\"\",CONCATENATE(\"(D-|\",C12,\"+)\"),\"(D-|E+)\")))","v":"S(D-|E+)"},null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"IF($K$9=\"Setting of Multidimensional\",IF(AND(N13<>\"\",$T$8=0),K13+O13*N13,0),\"\")","v":""},null,null,null,{"$f":"IF(Setting_Multi_Prob=\"Setting of Probabilistic\",2,1)","v":1},{"$f":"IF(Q13=\"Expression\",SUBSTITUTE(SUBSTITUTE(SUBSTITUTE(CONCATENATE(\"Expression\",_xlfn.IFNA(_xlfn.FORMULATEXT(K13),K13)& CHAR(13),IF(N13<>\"\",\" Pr1\" & _xlfn.IFNA(_xlfn.FORMULATEXT(N13),N13) & CHAR(13),\"\"),IF(O13<>\"\",\" Pr2\" & _xlfn.IFNA(_xlfn.FORMULATEXT(O13),O13) & CHAR(13),\"\"),IF(P13<>\"\",\" Pr3\" & _xlfn.IFNA(_xlfn.FORMULATEXT(P13),P13),\"\")),\"N13\",\"Pr1\"),\"O13\",\"Pr2\"),\"P13\",\"Pr3\"),\"\")","v":""},null,null,"OR(observed)",null,null,{"$f":"(C21/C23)/(F21/F23)","v":{"$error":"#DIV/0!"}}]
[null,"Error Check: ",{"$f":"IF(AC22>0,\"Probability is > 1\",IF(AB22>0,\"Probability is < 0\",\"No errors found\"))","v":"No errors found"},null,null,{"$f":"IF(AND($B$9=3,$E$9=\"Missing person time\"),\"PT(Missing Data)\",IF($B$9=4,\"R\",IF(B9=3,\"TM\",IF($B$9<>2,\"S\",IF($E$9=\"Ppv/Npv\",\"Npv\",\"Sp\")))) &IF(C11<>\"\",IF(C12<>\"\",CONCATENATE(\"(\",C11,\"-|\",C12,\"-)\"),CONCATENATE(\"(\",C11,\"-|E-)\")),IF(C12<>\"\",CONCATENATE(\"(D-|\",C12,\"-)\"),\"(D-|E-)\")))","v":"S(D-|E-)"},null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"IF($K$9=\"Setting of Multidimensional\",IF(AND(N14<>\"\",$T$8=0),K14+O14*N14,0),\"\")","v":""},null,null,null,{"$f":"IF(Setting_Multi_Prob=\"Setting of Probabilistic\",2,1)","v":1},{"$f":"IF(Q14=\"Expression\",SUBSTITUTE(SUBSTITUTE(SUBSTITUTE(CONCATENATE(\"Expression\",_xlfn.IFNA(_xlfn.FORMULATEXT(K14),K14)& CHAR(13),IF(N14<>\"\",\" Pr1\" & _xlfn.IFNA(_xlfn.FORMULATEXT(N14),N14) & CHAR(13),\"\"),IF(O14<>\"\",\" Pr2\" & _xlfn.IFNA(_xlfn.FORMULATEXT(O14),O14) & CHAR(13),\"\"),IF(P14<>\"\",\" Pr3\" & _xlfn.IFNA(_xlfn.FORMULATEXT(P14),P14),\"\")),\"N14\",\"Pr1\"),\"O14\",\"Pr2\"),\"P14\",\"Pr3\"),\"\")","v":""},null,null,"SE(ORobs)",null,null,{"$f":"SQRT(1/C21+1/C23+1/F21+1/F23)","v":{"$error":"#DIV/0!"}}]
[null,null,"Handring of Negative Cells","ERR",null,null,null,null,null,{"$f":"IF($B$9=2,\"controls-Sampling rate\",IF(AND($B$9>2,$E$9=\"W1\"),\"R(\" & IF(C12=\"\",\"E\",C12) & \"+)\", IF($B$9=1,\"Selection OR\",\"\")))","v":"Selection OR"},{"$f":"IF(COUNT(K11:K14)=4, K11*K14/(K12*K13),\"\")","v":""},null,{"$f":"IF(Q15=\"Log-normal\",0,K15)","v":0},null,null,null,"Log-normal",null,{"$f":"IF($K$9=\"Setting of Multidimensional\",IF(AND(N15<>\"\",$T$8=0),K15+O15*N15,0),\"\")","v":""},null,null,null,999999999,{"$f":"IF(Q15=\"Expression\",SUBSTITUTE(SUBSTITUTE(SUBSTITUTE(CONCATENATE(\"Expression\",_xlfn.IFNA(_xlfn.FORMULATEXT(K15),K15)& CHAR(13),IF(N15<>\"\",\" Pr1\" & _xlfn.IFNA(_xlfn.FORMULATEXT(N15),N15) & CHAR(13),\"\"),IF(O15<>\"\",\" Pr2\" & _xlfn.IFNA(_xlfn.FORMULATEXT(O15),O15) & CHAR(13),\"\"),IF(P15<>\"\",\" Pr3\" & _xlfn.IFNA(_xlfn.FORMULATEXT(P15),P15),\"\")),\"N15\",\"Pr1\"),\"O15\",\"Pr2\"),\"P15\",\"Pr3\"),\"\")","v":""}]
[null,null,null,null,null,null,null,null,null,null,false,false,null,2000,null,{"$f":"IF(K9=\"Setting of Probabilistic\",\"←#Simulation\",\"←Corrected Measure\")","v":"←Corrected Measure"},null,null,false,0,null,null,null,null,null,null,"OR(obs-lower)",null,null,{"$f":"EXP(LN(AD13)-1.96*AD14)","v":{"$error":"#DIV/0!"}}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"OR(obs-upper)",null,null,{"$f":"EXP(LN(AD13)+1.96*AD14)","v":{"$error":"#DIV/0!"}},null,{"$f":"IF($B$9=1, AI17-C21,0)","v":{"$error":"#DIV/0!"}},{"$f":"IF($B$9=1, AJ17-F21,0)","v":{"$error":"#DIV/0!"}},null,{"$f":"IF($B$9=1, C21/K11,C21+J21)","v":{"$error":"#DIV/0!"}},{"$f":"IF($B$9=1, F21/K12,F21+M21)","v":{"$error":"#DIV/0!"}}]
[null,{"$f":"IF(C11<>\"\",IF(C12<>\"\",CONCATENATE(\"Data (Enter Observed \",C11,\"-\",C12,\" Data in Blue Cells)\"),\"Data (Enter Observed Data in Blue Cells)\"),\"Data (Enter Observed Data in Blue Cells)\")","v":"Data (Enter Observed Data in Blue Cells)"},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"IF($K$9=\"Setting of Probabilistic\",100,\"OR\")","v":"OR"},null,"RR Rand",null,null,{"$f":"EXP(LN(AD3)-AD5*NORMINV(RAND(),0,1))","v":{"$error":"#DIV/0!"}},null,{"$f":"IF($B$9=1, AI18-C23,0)","v":{"$error":"#DIV/0!"}},{"$f":"IF($B$9=1, AJ18-F23,0)","v":{"$error":"#DIV/0!"}},null,{"$f":"IF($B$9=1, C23/K13,C23+J23)","v":{"$error":"#DIV/0!"}},{"$f":"IF($B$9=1, F23/K14,F23+M23)","v":{"$error":"#DIV/0!"}}]
[null,null,"Observed Data",null,null,null,null,null,null,"Missing Data",null,null,null,null,null,null,"Corrected for \nSelection Proportions",null,null,null,null,null,null,null,{"$f":"IF($K$9=\"Setting of Probabilistic\",200,\"RR\")","v":"RR"},null,"OR Rand",null,null,{"$f":"EXP(LN(AD4)-AD6*NORMINV(RAND(),0,1))","v":{"$error":"#DIV/0!"}},{"$f":"EXP(LN(AE4)-AD6*NORMINV(RAND(),0,1))","v":{"$error":"#DIV/0!"}},{"$f":"AI19-C25","v":{"$error":"#DIV/0!"}},{"$f":"AJ19-F25","v":{"$error":"#DIV/0!"}},null,{"$f":"AI17+AI18","v":{"$error":"#DIV/0!"}},{"$f":"AJ17+AJ18","v":{"$error":"#DIV/0!"}}]
[null,null,{"$f":"IF(C12<>\"\",CONCATENATE(C12,\" +\"),\"E+\")","v":"E+"},null,"E+",{"$f":"IF(C12<>\"\",CONCATENATE(C12,\" -\"),\"E-\")","v":"E-"},null,"E+",null,{"$f":"C20","v":"E+"},null,"E+",{"$f":"F20","v":"E-"},null,"Total",null,{"$f":"J20","v":"E+"},null,"E+",{"$f":"M20","v":"E-"},null,"E+",null,null,{"$f":"IF($K$9=\"Setting of Probabilistic\",500,\"\")","v":""},null,null,null,null,null,null,{"$f":"IF($B$9=1,AND(SUM(AF17,AF18,AG17,AG18,AI17,AI18,AJ17,AJ18,)<>SUM(ABS(AF17),ABS(AF18),ABS(AG17),ABS(AG18),ABS(AI17),ABS(AI18),ABS(AJ17),ABS(AJ18),),TreatNegative<>\"\",TreatNegative<>\"ERR\"),FALSE)","v":{"$error":"#DIV/0!"}}]
[null,{"$f":"IF(C11<>\"\",CONCATENATE(C11,\" +\"),\"D+\")","v":"D+"},null,null,"a",null,null,"b",null,{"$f":"IF($AF$20=FALSE,AF17,IF(AF17<=0,TreatNegative,AF17+TreatNegative))","v":{"$error":"#DIV/0!"}},null,"A1",{"$f":"IF($AF$20=FALSE,AG17,IF(AG17<=0,TreatNegative,AG17+TreatNegative))","v":{"$error":"#DIV/0!"}},"B1",null,null,{"$f":"IF($B$9<>2,IF($AF$20=FALSE,AI17,IF(AI17<=0,TreatNegative,AI17+TreatNegative)),IF($AF$23=FALSE,AI21,IF(AI21<=0,TreatNegative,AI21+TreatNegative)))","v":{"$error":"#DIV/0!"}},null,"A0",{"$f":"IF($B$9<>2,IF($AF$20=FALSE,AJ17,IF(AJ17<=0,TreatNegative,AJ17+TreatNegative)),IF($AF$23=FALSE,AJ21,IF(AJ21<=0,TreatNegative,AJ21+TreatNegative)))","v":{"$error":"#DIV/0!"}},null,"B0",null,null,{"$f":"IF($K$9=\"Setting of Probabilistic\",1000,\"\")","v":""},null,"Errors?",null,null,{"$f":"SUM(AB22:AD22)","v":{"$error":"#DIV/0!"}},null,{"$f":"AI21-C21","v":{"$error":"#VALUE!"}},{"$f":"AJ21-F21","v":{"$error":"#VALUE!"}},{"$f":"AF21+AG21","v":{"$error":"#VALUE!"}},{"$f":"IF($E$9=\"Ppv/Npv\",C21*K11+(1-K13)*($K$15*C23/(C23+F23)),(C21-(1-K13)*($K$15*C23/(C23+F23))) / (K11-(1-K13)))","v":{"$error":"#VALUE!"}},{"$f":"IF($E$9=\"Ppv/Npv\",F21*K11+(1-K14)*($K$15*F23/(C23+F23)),(F21-(1-K14)*($K$15*F23/(C23+F23))) / (K12-(1-K14)))","v":{"$error":"#VALUE!"}},{"$f":"AI21+AJ21","v":{"$error":"#VALUE!"}}]
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[null,{"$f":"IF(C11<>\"\",CONCATENATE(C11,\" -\"),\"D-\")","v":"D-"},null,null,"c",null,null,"d",null,{"$f":"IF($AF$20=FALSE,AF18,IF(AF18<=0,TreatNegative,AF18+TreatNegative))","v":{"$error":"#DIV/0!"}},null,"C1",{"$f":"IF($AF$20=FALSE,AG18,IF(AG18<=0,TreatNegative,AG18+TreatNegative))","v":{"$error":"#DIV/0!"}},"D1",null,null,{"$f":"IF($B$9<>2,IF($AF$20=FALSE,AI18,IF(AI18<=0,TreatNegative,AI18+TreatNegative)),IF($AF$23=FALSE,AI22,IF(AI22<=0,TreatNegative,AI22+TreatNegative)))","v":{"$error":"#DIV/0!"}},null,"C0",{"$f":"IF($B$9<>2,IF($AF$20=FALSE,AJ18,IF(AJ18<=0,TreatNegative,AJ18+TreatNegative)),IF($AF$23=FALSE,AJ22,IF(AJ22<=0,TreatNegative,AJ22+TreatNegative)))","v":{"$error":"#DIV/0!"}},null,"D0",null,null,{"$f":"IF($K$9=\"Setting of Probabilistic\",5000,\"\")","v":""},null,null,{"$f":"IF(K11<0,1,0)","v":0},{"$f":"IF(K11>1,1,0)","v":0},{"$f":"IF(K11*K12*K13*K14=0,1,0)","v":1},null,{"$f":"AND(SUM(AI21,AI22,AJ21,AJ22,)<>SUM(ABS(AI21),ABS(AI22),ABS(AJ21),ABS(AJ22),),TreatNegative<>\"\",TreatNegative<>\"ERR\")","v":{"$error":"#VALUE!"}},null,null,{"$f":"AI21+AI22","v":{"$error":"#VALUE!"}},{"$f":"AJ21+AJ22","v":{"$error":"#VALUE!"}}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"IF($K$9=\"Setting of Probabilistic\",10000,\"\")","v":""},null,null,{"$f":"IF(K12<0,1,0)","v":0},{"$f":"IF(K12>1,1,0)","v":0}]
[null,"Total",{"$f":"SUM(C21:C24)","v":0},null,"m",{"$f":"SUM(F21:F24)","v":0},null,"n",null,{"$f":"SUM(J21:J24)","v":{"$error":"#DIV/0!"}},null,"M1",{"$f":"SUM(M21:M24)","v":{"$error":"#DIV/0!"}},"N1",null,null,{"$f":"Q21+Q23","v":{"$error":"#DIV/0!"}},null,"M0",{"$f":"T21+T23","v":{"$error":"#DIV/0!"}},null,"N0",null,null,{"$f":"IF($K$9=\"Setting of Probabilistic\",20000,\"\")","v":""},null,null,{"$f":"IF(K13<0,1,0)","v":0},{"$f":"IF(AND($B$9<>3, K13>1),1,0)","v":0},null,{"$f":"IF($B$9=4,AE29,IF($B$9=3,AF29))","v":false}]
[null,{"$f":"IF(B9=3,\"person time\",\"\")","v":""},400,null,"t",1500,null,"u",null,{"$f":"IF($E$9=\"M1,N1\",(J25-J21/2)*K13,IF($E$9=\"W1\",IF(AND(ISNUMBER(K15),K15<=1,K15>=0),(O25*K15-J21/2)*K13,O25*K13),IF($E$9=\"Missing person time\",K14*K13,\"ERR\")))","v":"ERR"},null,"T1",{"$f":"IF($E$9=\"M1,N1\",(M25-M21/2)*K14,IF($E$9=\"W1\",IF(AND(ISNUMBER(K15),K15<=1,K15>=0),(O25*(1-K15)-M21/2)*K14,O25*K14),IF($E$9=\"Missing person time\",K14*(1-K13),\"ERR\")))","v":"ERR"},"U1","PT(Missing Data)",null,{"$f":"IF($B$9=3,C26+J26,\"\")","v":""},null,"T0",{"$f":"IF($B$9=3,F26+M26,\"\")","v":""},null,"U0",null,null,{"$f":"IF($K$9=\"Setting of Probabilistic\",50000,\"\")","v":""},null,null,{"$f":"IF(K14<0,1,0)","v":0},{"$f":"IF(AND($B$9<>3,K14>1),1,0)","v":0}]
[null,null,null,null,null,null,null,null,null,{"$f":"J25+M25","v":{"$error":"#DIV/0!"}},null,null,null,null,null,null,{"$f":"Q25+T25","v":{"$error":"#DIV/0!"}},null,null,null,null,null,null,null,{"$f":"IF($K$9=\"Setting of Probabilistic\",100000,\"\")","v":""}]
[null,{"$f":"IF(C11<>\"\",IF(C12<>\"\",CONCATENATE(\"Observed and Selection Bias Corrected Measures of \",C11,\"-\",C12,\" Relationship\"),\"Observed and Selection Bias Corrected Measures\"),\"Observed and Selection Bias Corrected Measures\")","v":"Observed and Selection Bias Corrected Measures"}]
[null,null,null,null,null,null,null,null,"Observed Measure (95% CI)",null,"Missing Data Stratum",null,null,null,null,null,null,null,"Selection Bias Corrected",null,null,null,null,null,null,null,null,null,null,null,"IF \"exclution\" then enter the number of persons in cells R ,S and Bias Parameters 1, 3, \nor M1 ,N1 and Bias Parameters 1, 2, or \"Total number of excluded\" and Parameters 1,2,3,4. ","IF \"Loss to follow-up\" then enter the number of persons in cells M1 ,N1 and Bias Parameters 1 ～4, or  enter the number of persons in cells W1 and Bias Parameters 1 ～5."]
[null,{"$f":"IF(C11<>\"\",IF(C12<>\"\",CONCATENATE(IF($B$9=3,\"I\",\"\"), \"RR (\",C11,\"-\",C12,\")\"),\"RR (ED)\"),\"RR (ED)\")","v":"RR (ED)"},null,null,null,{"$f":"IF(ISERROR(AD9)=FALSE,CONCATENATE(ROUND(AD9,2),\" (\",ROUND(AD11,2),\" - \",ROUND(AD12,2),\")\"),\"\")","v":""},null,null,null,null,null,{"$f":"IF(ISERROR(AD7)=FALSE,CONCATENATE(ROUND(AD7,2)),\"\")","v":""},null,null,null,null,null,{"$f":"IF(ISERROR(AD3)=FALSE,AD3,\"\")","v":""}]
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[null,"SE(LN(OR))",null,null,null,null,null,null,"SE(LN(RR))"]
[null,{"$f":"CONCATENATE(\"Multidimensional Corrected \",  IF(N16=\"RR\",\"Relative Risk\",\"Odds Ratio\"), \" Data\")","v":"Multidimensional Corrected Odds Ratio Data"}]
[null,null,{"$f":"IF(N16<>\"\",CONCATENATE(\"IF \",N16, \"<1 THEN -1/\",N16),\"\")","v":"IF 2000<1 THEN -1/2000"}]
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[{"$f":"IF($K$16,IF($C$39=\"\",\"\",IF(A48<$N$15,A48+1,\"\")),IF($B$39=\"\",\"\",IF(COUNTIF($A$39:A48,$N$14)<=$N$12,IF(A48<$N$14,A48+1,0),\"\")))","v":""},{"$f":"IF($K$16,\"\",IF(A49<>\"\",IF(A49=0,IF($L$16=TRUE,INDEX($AI$5:$AI$14,COUNTIF($A$39:A48,1)+1),$B$39+$O$12*COUNTIF(A$39:$A48,0)),B48),\"\"))","v":""},""]
[{"$f":"IF($K$16,IF($C$39=\"\",\"\",IF(A49<$N$15,A49+1,\"\")),IF($B$39=\"\",\"\",IF(COUNTIF($A$39:A49,$N$14)<=$N$12,IF(A49<$N$14,A49+1,0),\"\")))","v":""},{"$f":"IF($K$16,\"\",IF(A50<>\"\",IF(A50=0,IF($L$16=TRUE,INDEX($AI$5:$AI$14,COUNTIF($A$39:A49,1)+1),$B$39+$O$12*COUNTIF(A$39:$A49,0)),B49),\"\"))","v":""},""]
[{"$f":"IF($K$16,IF($C$39=\"\",\"\",IF(A50<$N$15,A50+1,\"\")),IF($B$39=\"\",\"\",IF(COUNTIF($A$39:A50,$N$14)<=$N$12,IF(A50<$N$14,A50+1,0),\"\")))","v":""},{"$f":"IF($K$16,\"\",IF(A51<>\"\",IF(A51=0,IF($L$16=TRUE,INDEX($AI$5:$AI$14,COUNTIF($A$39:A50,1)+1),$B$39+$O$12*COUNTIF(A$39:$A50,0)),B50),\"\"))","v":""},""]
[{"$f":"IF($K$16,IF($C$39=\"\",\"\",IF(A51<$N$15,A51+1,\"\")),IF($B$39=\"\",\"\",IF(COUNTIF($A$39:A51,$N$14)<=$N$12,IF(A51<$N$14,A51+1,0),\"\")))","v":""},{"$f":"IF($K$16,\"\",IF(A52<>\"\",IF(A52=0,IF($L$16=TRUE,INDEX($AI$5:$AI$14,COUNTIF($A$39:A51,1)+1),$B$39+$O$12*COUNTIF(A$39:$A51,0)),B51),\"\"))","v":""},""]
[{"$f":"IF($K$16,IF($C$39=\"\",\"\",IF(A52<$N$15,A52+1,\"\")),IF($B$39=\"\",\"\",IF(COUNTIF($A$39:A52,$N$14)<=$N$12,IF(A52<$N$14,A52+1,0),\"\")))","v":""},{"$f":"IF($K$16,\"\",IF(A53<>\"\",IF(A53=0,IF($L$16=TRUE,INDEX($AI$5:$AI$14,COUNTIF($A$39:A52,1)+1),$B$39+$O$12*COUNTIF(A$39:$A52,0)),B52),\"\"))","v":""},""]
[{"$f":"IF($K$16,IF($C$39=\"\",\"\",IF(A53<$N$15,A53+1,\"\")),IF($B$39=\"\",\"\",IF(COUNTIF($A$39:A53,$N$14)<=$N$12,IF(A53<$N$14,A53+1,0),\"\")))","v":""},{"$f":"IF($K$16,\"\",IF(A54<>\"\",IF(A54=0,IF($L$16=TRUE,INDEX($AI$5:$AI$14,COUNTIF($A$39:A53,1)+1),$B$39+$O$12*COUNTIF(A$39:$A53,0)),B53),\"\"))","v":""},""]
[{"$f":"IF($K$16,IF($C$39=\"\",\"\",IF(A54<$N$15,A54+1,\"\")),IF($B$39=\"\",\"\",IF(COUNTIF($A$39:A54,$N$14)<=$N$12,IF(A54<$N$14,A54+1,0),\"\")))","v":""},{"$f":"IF($K$16,\"\",IF(A55<>\"\",IF(A55=0,IF($L$16=TRUE,INDEX($AI$5:$AI$14,COUNTIF($A$39:A54,1)+1),$B$39+$O$12*COUNTIF(A$39:$A54,0)),B54),\"\"))","v":""},""]
[{"$f":"IF($K$16,IF($C$39=\"\",\"\",IF(A55<$N$15,A55+1,\"\")),IF($B$39=\"\",\"\",IF(COUNTIF($A$39:A55,$N$14)<=$N$12,IF(A55<$N$14,A55+1,0),\"\")))","v":""},{"$f":"IF($K$16,\"\",IF(A56<>\"\",IF(A56=0,IF($L$16=TRUE,INDEX($AI$5:$AI$14,COUNTIF($A$39:A55,1)+1),$B$39+$O$12*COUNTIF(A$39:$A55,0)),B55),\"\"))","v":""},""]
[{"$f":"IF($K$16,IF($C$39=\"\",\"\",IF(A56<$N$15,A56+1,\"\")),IF($B$39=\"\",\"\",IF(COUNTIF($A$39:A56,$N$14)<=$N$12,IF(A56<$N$14,A56+1,0),\"\")))","v":""},{"$f":"IF($K$16,\"\",IF(A57<>\"\",IF(A57=0,IF($L$16=TRUE,INDEX($AI$5:$AI$14,COUNTIF($A$39:A56,1)+1),$B$39+$O$12*COUNTIF(A$39:$A56,0)),B56),\"\"))","v":""},""]
[{"$f":"IF($K$16,IF($C$39=\"\",\"\",IF(A57<$N$15,A57+1,\"\")),IF($B$39=\"\",\"\",IF(COUNTIF($A$39:A57,$N$14)<=$N$12,IF(A57<$N$14,A57+1,0),\"\")))","v":""},{"$f":"IF($K$16,\"\",IF(A58<>\"\",IF(A58=0,IF($L$16=TRUE,INDEX($AI$5:$AI$14,COUNTIF($A$39:A57,1)+1),$B$39+$O$12*COUNTIF(A$39:$A57,0)),B57),\"\"))","v":""},""]
[{"$f":"IF($K$16,IF($C$39=\"\",\"\",IF(A58<$N$15,A58+1,\"\")),IF($B$39=\"\",\"\",IF(COUNTIF($A$39:A58,$N$14)<=$N$12,IF(A58<$N$14,A58+1,0),\"\")))","v":""},{"$f":"IF($K$16,\"\",IF(A59<>\"\",IF(A59=0,IF($L$16=TRUE,INDEX($AI$5:$AI$14,COUNTIF($A$39:A58,1)+1),$B$39+$O$12*COUNTIF(A$39:$A58,0)),B58),\"\"))","v":""},""]
[{"$f":"IF($K$16,IF($C$39=\"\",\"\",IF(A59<$N$15,A59+1,\"\")),IF($B$39=\"\",\"\",IF(COUNTIF($A$39:A59,$N$14)<=$N$12,IF(A59<$N$14,A59+1,0),\"\")))","v":""},{"$f":"IF($K$16,\"\",IF(A60<>\"\",IF(A60=0,IF($L$16=TRUE,INDEX($AI$5:$AI$14,COUNTIF($A$39:A59,1)+1),$B$39+$O$12*COUNTIF(A$39:$A59,0)),B59),\"\"))","v":""},""]
[{"$f":"IF($K$16,IF($C$39=\"\",\"\",IF(A60<$N$15,A60+1,\"\")),IF($B$39=\"\",\"\",IF(COUNTIF($A$39:A60,$N$14)<=$N$12,IF(A60<$N$14,A60+1,0),\"\")))","v":""},{"$f":"IF($K$16,\"\",IF(A61<>\"\",IF(A61=0,IF($L$16=TRUE,INDEX($AI$5:$AI$14,COUNTIF($A$39:A60,1)+1),$B$39+$O$12*COUNTIF(A$39:$A60,0)),B60),\"\"))","v":""},""]
[{"$f":"IF($K$16,IF($C$39=\"\",\"\",IF(A61<$N$15,A61+1,\"\")),IF($B$39=\"\",\"\",IF(COUNTIF($A$39:A61,$N$14)<=$N$12,IF(A61<$N$14,A61+1,0),\"\")))","v":""},{"$f":"IF($K$16,\"\",IF(A62<>\"\",IF(A62=0,IF($L$16=TRUE,INDEX($AI$5:$AI$14,COUNTIF($A$39:A61,1)+1),$B$39+$O$12*COUNTIF(A$39:$A61,0)),B61),\"\"))","v":""},""]
[{"$f":"IF($K$16,IF($C$39=\"\",\"\",IF(A62<$N$15,A62+1,\"\")),IF($B$39=\"\",\"\",IF(COUNTIF($A$39:A62,$N$14)<=$N$12,IF(A62<$N$14,A62+1,0),\"\")))","v":""},{"$f":"IF($K$16,\"\",IF(A63<>\"\",IF(A63=0,IF($L$16=TRUE,INDEX($AI$5:$AI$14,COUNTIF($A$39:A62,1)+1),$B$39+$O$12*COUNTIF(A$39:$A62,0)),B62),\"\"))","v":""},""]
[{"$f":"IF($K$16,IF($C$39=\"\",\"\",IF(A63<$N$15,A63+1,\"\")),IF($B$39=\"\",\"\",IF(COUNTIF($A$39:A63,$N$14)<=$N$12,IF(A63<$N$14,A63+1,0),\"\")))","v":""},{"$f":"IF($K$16,\"\",IF(A64<>\"\",IF(A64=0,IF($L$16=TRUE,INDEX($AI$5:$AI$14,COUNTIF($A$39:A63,1)+1),$B$39+$O$12*COUNTIF(A$39:$A63,0)),B63),\"\"))","v":""},""]
[{"$f":"IF($K$16,IF($C$39=\"\",\"\",IF(A64<$N$15,A64+1,\"\")),IF($B$39=\"\",\"\",IF(COUNTIF($A$39:A64,$N$14)<=$N$12,IF(A64<$N$14,A64+1,0),\"\")))","v":""},{"$f":"IF($K$16,\"\",IF(A65<>\"\",IF(A65=0,IF($L$16=TRUE,INDEX($AI$5:$AI$14,COUNTIF($A$39:A64,1)+1),$B$39+$O$12*COUNTIF(A$39:$A64,0)),B64),\"\"))","v":""},""]
[{"$f":"IF($K$16,IF($C$39=\"\",\"\",IF(A65<$N$15,A65+1,\"\")),IF($B$39=\"\",\"\",IF(COUNTIF($A$39:A65,$N$14)<=$N$12,IF(A65<$N$14,A65+1,0),\"\")))","v":""},{"$f":"IF($K$16,\"\",IF(A66<>\"\",IF(A66=0,IF($L$16=TRUE,INDEX($AI$5:$AI$14,COUNTIF($A$39:A65,1)+1),$B$39+$O$12*COUNTIF(A$39:$A65,0)),B65),\"\"))","v":""},""]
[{"$f":"IF($K$16,IF($C$39=\"\",\"\",IF(A66<$N$15,A66+1,\"\")),IF($B$39=\"\",\"\",IF(COUNTIF($A$39:A66,$N$14)<=$N$12,IF(A66<$N$14,A66+1,0),\"\")))","v":""},{"$f":"IF($K$16,\"\",IF(A67<>\"\",IF(A67=0,IF($L$16=TRUE,INDEX($AI$5:$AI$14,COUNTIF($A$39:A66,1)+1),$B$39+$O$12*COUNTIF(A$39:$A66,0)),B66),\"\"))","v":""},""]
[{"$f":"IF($K$16,IF($C$39=\"\",\"\",IF(A67<$N$15,A67+1,\"\")),IF($B$39=\"\",\"\",IF(COUNTIF($A$39:A67,$N$14)<=$N$12,IF(A67<$N$14,A67+1,0),\"\")))","v":""},{"$f":"IF($K$16,\"\",IF(A68<>\"\",IF(A68=0,IF($L$16=TRUE,INDEX($AI$5:$AI$14,COUNTIF($A$39:A67,1)+1),$B$39+$O$12*COUNTIF(A$39:$A67,0)),B67),\"\"))","v":""},""]
[{"$f":"IF($K$16,IF($C$39=\"\",\"\",IF(A68<$N$15,A68+1,\"\")),IF($B$39=\"\",\"\",IF(COUNTIF($A$39:A68,$N$14)<=$N$12,IF(A68<$N$14,A68+1,0),\"\")))","v":""},{"$f":"IF($K$16,\"\",IF(A69<>\"\",IF(A69=0,IF($L$16=TRUE,INDEX($AI$5:$AI$14,COUNTIF($A$39:A68,1)+1),$B$39+$O$12*COUNTIF(A$39:$A68,0)),B68),\"\"))","v":""},""]
[{"$f":"IF($K$16,IF($C$39=\"\",\"\",IF(A69<$N$15,A69+1,\"\")),IF($B$39=\"\",\"\",IF(COUNTIF($A$39:A69,$N$14)<=$N$12,IF(A69<$N$14,A69+1,0),\"\")))","v":""},{"$f":"IF($K$16,\"\",IF(A70<>\"\",IF(A70=0,IF($L$16=TRUE,INDEX($AI$5:$AI$14,COUNTIF($A$39:A69,1)+1),$B$39+$O$12*COUNTIF(A$39:$A69,0)),B69),\"\"))","v":""},""]
[{"$f":"IF($K$16,IF($C$39=\"\",\"\",IF(A70<$N$15,A70+1,\"\")),IF($B$39=\"\",\"\",IF(COUNTIF($A$39:A70,$N$14)<=$N$12,IF(A70<$N$14,A70+1,0),\"\")))","v":""},{"$f":"IF($K$16,\"\",IF(A71<>\"\",IF(A71=0,IF($L$16=TRUE,INDEX($AI$5:$AI$14,COUNTIF($A$39:A70,1)+1),$B$39+$O$12*COUNTIF(A$39:$A70,0)),B70),\"\"))","v":""},""]
[{"$f":"IF($K$16,IF($C$39=\"\",\"\",IF(A71<$N$15,A71+1,\"\")),IF($B$39=\"\",\"\",IF(COUNTIF($A$39:A71,$N$14)<=$N$12,IF(A71<$N$14,A71+1,0),\"\")))","v":""},{"$f":"IF($K$16,\"\",IF(A72<>\"\",IF(A72=0,IF($L$16=TRUE,INDEX($AI$5:$AI$14,COUNTIF($A$39:A71,1)+1),$B$39+$O$12*COUNTIF(A$39:$A71,0)),B71),\"\"))","v":""},""]
[{"$f":"IF($K$16,IF($C$39=\"\",\"\",IF(A72<$N$15,A72+1,\"\")),IF($B$39=\"\",\"\",IF(COUNTIF($A$39:A72,$N$14)<=$N$12,IF(A72<$N$14,A72+1,0),\"\")))","v":""},{"$f":"IF($K$16,\"\",IF(A73<>\"\",IF(A73=0,IF($L$16=TRUE,INDEX($AI$5:$AI$14,COUNTIF($A$39:A72,1)+1),$B$39+$O$12*COUNTIF(A$39:$A72,0)),B72),\"\"))","v":""},""]
[{"$f":"IF($K$16,IF($C$39=\"\",\"\",IF(A73<$N$15,A73+1,\"\")),IF($B$39=\"\",\"\",IF(COUNTIF($A$39:A73,$N$14)<=$N$12,IF(A73<$N$14,A73+1,0),\"\")))","v":""},{"$f":"IF($K$16,\"\",IF(A74<>\"\",IF(A74=0,IF($L$16=TRUE,INDEX($AI$5:$AI$14,COUNTIF($A$39:A73,1)+1),$B$39+$O$12*COUNTIF(A$39:$A73,0)),B73),\"\"))","v":""},""]
[]
[null,{"$f":"CONCATENATE(\"Probabilistic Corrected \",  IF(N16=\"RR\",\"Relative Risk\",\"Odds Ratio\"), \" Data\")","v":"Probabilistic Corrected Odds Ratio Data"}]
[]
[null,null,null,null,null,{"$f":"IF($B$9=3,\"I\",\"\") & \"RR Simulation Results (N=\"","v":"RR Simulation Results (N="},{"$f":"COUNT($K$123:$K$100122)","v":0},null,")",null,null,null,null,"OR Simulation Results (N=",{"$f":"COUNT(M123:M100122)","v":0},null,")",null,null,"Errors:",null,{"$f":"IF(AND(OR(O78>0,G78>0),COUNT(B123:B100122)>0),COUNT(B123:B100122)-COUNTIF(B123:B100122,\">\"& IF(K16,1,2)),\"-\")","v":"-"}]
[null,"Analysis",null,null,null,"Median (2.5%ile-97.5%ile)",null,null,null,null,"Median (2.5%ile-97.5%ile)",null,null,null,null,null,null,null,null,{"$f":"IF(samp,\"re-sampling\",\"-\")","v":"-"},null,"-"]
[null,"Conventional",null,{"$f":"F30","v":""},null,null,"－",null,null,null,{"$f":"F31","v":""},null,null,null,"－",null,null,null,null,null,null,false]
[null,"Systematic",null,{"$f":"IF(MAX($B$123:$B$100122)=4,CONCATENATE(ROUND(PERCENTILE(K123:K100122,0.5),2),\" (\",ROUND(PERCENTILE(K123:K100122,0.025),2),\" - \",ROUND(PERCENTILE(K123:K100122,0.975),2),\")\"),\"\")","v":""},null,null,{"$f":"IF(I79=\"\",\"－\",ROUND(COUNTIF(K$123:K$100122,IF(G79=\"Freq of RR≧\",\">=\",\"<=\") & I79)/COUNT(K$123:K$100122),ROUNDDOWN(LOG10(G78),0)))","v":"－"},null,false,null,{"$f":"IF(MAX($B$123:$B$100122)>IF($K$16,1,2),CONCATENATE(ROUND(PERCENTILE(M123:M100122,0.5),2),\" (\",ROUND(PERCENTILE(M123:M100122,0.025),2),\" - \",ROUND(PERCENTILE(M123:M100122,0.975),2),\")\"),\"\")","v":""},null,null,null,{"$f":"IF(Q79=\"\",\"－\",ROUND(COUNTIF(M$123:M$100122,IF(O79=\"Freq of OR≧\",\">=\",\"<=\") & Q79)/COUNT(M$123:M$100122),ROUNDDOWN(LOG10(O78),0)))","v":"－"},null,false]
[null,"Total Error",null,{"$f":"IF(MAX($B$123:$B$100122)=4,CONCATENATE(ROUND(PERCENTILE(O123:O100122,0.5),2),\" (\",ROUND(PERCENTILE(O123:O100122,0.025),2),\" - \",ROUND(PERCENTILE(O123:O100122,0.975),2),\")\"),\"\")","v":""},null,null,{"$f":"IF(I79=\"\",\"－\",ROUND(COUNTIF(O$123:O$100122,IF(G79=\"Freq of RR≧\",\">=\",\"<=\") & I79)/COUNT(O$123:O$100122),ROUNDDOWN(LOG10(G78),0)))","v":"－"},null,false,null,{"$f":"IF(MAX($B$123:$B$100122)>IF($K$16,1,2),CONCATENATE(ROUND(PERCENTILE(Q123:Q100122,0.5),2),\" (\",ROUND(PERCENTILE(Q123:Q100122,0.025),2),\" - \",ROUND(PERCENTILE(Q123:Q100122,0.975),2),\")\"),\"\")","v":""},null,null,null,{"$f":"IF(Q79=\"\",\"－\",ROUND(COUNTIF(Q$123:Q$100122,IF(O79=\"Freq of OR≧\",\">=\",\"<=\") & Q79)/COUNT(Q$123:Q$100122),ROUNDDOWN(LOG10(O78),0)))","v":"－"},null,false,null,null,{"$f":"COUNT(C123:C100122)","v":0}]
[]
[null,null,{"$f":"IF(ExEr,\"Distribution of used parameters\",\"Distribution of setting parameters\")","v":"Distribution of setting parameters"}]
[]
[]
[]
[]
[]
[]
[null,null,null,null,null,{"$f":"IF(OR(B84<>\"\",AND(ExEr,Illegal>0)),CHAR(13)&CHAR(10)&CHAR(13)&CHAR(10)&CHAR(13)&CHAR(10)&\"Plots of \"&IF(AND(ExEr,Illegal>0),\" exclude error data \",\"\") & IF(AND(B84<>\"\",AND(ExEr,Illegal>0)),\" and \",\"\") & B84,\"\")","v":""}]
[null,null,"-",1,null,null,null,null,null,null,null,null,null,null,null,null,"Summary of used parameters"]
[null,null,{"$f":"IF($B$9=3,\"I\",\"\") & \"RRsys\"","v":"RRsys"},null,null,null,null,null,null,null,null,null,null,null,null,null,"Summary of used parameters",null,"Min","2.5%tile",null,"Median",null,"97.5%tile","Max","Mode","Mean"]
[null,null,{"$f":"IF($B$9=3,\"I\",\"\") & \"RRtotal\"","v":"RRtotal"},null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"C122","v":"S(D+|E+)"},null,0.4211974301810586,0.55710722834323823,null,0.69990119136833373,null,0.83984410321457015,0.92022596594712713,0.71154271878037678,0.70001414161880882]
[null,null,"ORsys",null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"E122","v":"S(D+|E-)"},null,0.50000307559967039,0.50583847045898434,null,0.59730756282806396,null,0.69542594075202935,0.69999668598175047,0.51403454113006597,0.59917101516723548]
[null,null,"ORtotal",null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"G122","v":"S(D-|E+)"},null,3.8723683477367619E-2,4.7419733254893827E-2,null,7.0042673692287311E-2,null,9.2565085415786313E-2,0.10077036616111065,6.1875749203450209E-2,7.0048472371745385E-2]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"I122","v":"S(D-|E-)"},null,4.0055084228515628E-2,4.1146638393402102E-2,null,6.0168995857238769E-2,null,7.9022164583206184E-2,7.9987831115722663E-2,5.8058843159675605E-2,6.0135100593566942E-2]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"IF(OR(C122=\"S(D+|E+)\",AND($B$9>2,J15<>\"\")),S122,\"\")","v":"ORselect"},null,0.68816219865495643,0.80044947956492274,null,1.0033829060198718,null,1.2195501136917157,1.4217005607925586,0.98364607525314485,1.0055798482703828]
[]
[]
[]
[null,null,null,null,null,null,null,null,null,null,{"$f":"IF(LEFT($Q$12,9)=\"Correlate\",\"Correlation coefficient between \" & $C$122 & \" and \" & $G$122,\"\")","v":""},{"$f":"IF(K102<>\"\",CORREL($C$123:$C$100122,$G$123:$G$100122),\"\")","v":""},null,null,null,null,false]
[null,null,null,null,null,null,null,null,null,null,{"$f":"IF(LEFT($Q$13,9)=\"Correlate\",\"Correlation coefficient between \" & CHOOSE(VALUE(RIGHT($Q$13,1)),$C$122,$E$122,$G$122) & \" and \" & $I$122,\"\")","v":""},{"$f":"IF($K$103<>\"\",CORREL(CHOOSE(VALUE(RIGHT($Q$13,1)),$C$123:$C$100122,$E$123:$E$100122,$G$123:$G$100122),$I$123:$I$100122),\"\")","v":""}]
[null,null,null,null,null,null,null,null,null,null,{"$f":"IF(LEFT($Q$14,9)=\"Correlate\",\"Correlation coefficient between \" & CHOOSE(VALUE(RIGHT($Q$14,1)),$C$122,$E$122,$G$122) & \" and \" & $I$122,\"\")","v":""},{"$f":"IF($K$104<>\"\",CORREL(CHOOSE(VALUE(RIGHT($Q$14,1)),$C$123:$C$100122,$E$123:$E$100122,$G$123:$G$100122),$I$123:$I$100122),\"\")","v":""}]
[]
[null,"Notes"]
[]
[]
[]
[]
[]
[null,"Equations"]
[null,"A0=a/S(D+|E+)",null,null,"B0=b/S(D+|E-)",null,null,"A1=a-A0",null,"B1=b-B0",null,null,"Selection OR=S(O+|E+)×S(O-|E-)/[S(O+|E-)×S(O-|E+)]"]
[null,"C0=c/S(D-|E+)",null,null,"D0=d/S(D-|E-)",null,null,"C1=c-C0",null,"D1=d-D0"]
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{"sheet":"Exposure_Misc","index":5,"n_rows":145,"n_cols":40,"rows_kept":145,"cut":false,"hidden":true,"merged":[[22,1,23,1],[24,2,25,3],[1,16,1,20],[20,15,21,16],[22,15,23,16],[24,15,25,16],[17,12,17,20],[9,14,10,14],[19,18,19,19],[8,10,8,15],[9,15,10,15],[13,10,13,11],[20,18,21,19],[22,18,23,19],[2,1,3,14],[5,1,5,20],[20,1,21,1],[20,5,21,6],[14,2,14,5],[15,4,15,5],[11,2,11,5],[12,2,12,5],[14,10,14,11],[11,6,11,9],[12,6,12,9],[13,6,13,9],[18,2,18,8],[18,12,18,17],[20,2,21,3],[22,12,23,13],[2,23,2,26],[11,10,11,11],[12,10,12,11],[10,10,10,11],[3,26,3,27],[9,16,10,17],[11,16,11,17],[12,16,12,17],[6,16,6,20],[14,16,14,17],[15,13,15,14],[17,1,17,10],[14,6,14,9],[13,16,13,17],[8,4,8,6],[26,15,26,18],[19,2,19,4],[30,5,30,9],[24,12,25,13],[22,5,23,6],[20,8,21,9],[24,5,25,6],[22,8,23,9],[22,2,23,3],[19,15,19,17],[19,5,19,7],[19,8,19,9],[19,12,19,14],[20,12,21,13],[27,4,27,9],[27,12,27,20],[77,20,77,21],[32,1,32,20],[75,1,75,20],[35,3,35,18],[36,1,36,2],[33,2,33,11],[29,5,29,9],[29,16,29,19],[30,16,30,19],[77,14,77,15],[77,6,77,7],[77,18,77,19],[79,14,79,15],[103,11,103,13],[120,20,120,24],[110,1,110,20],[112,1,112,7],[111,1,111,7],[94,20,94,21],[90,6,97,10],[101,11,101,13],[102,11,102,13],[100,6,100,9],[78,6,78,7],[78,14,78,15],[81,14,81,15],[90,17,90,27],[78,20,78,21],[78,18,78,19],[90,12,99,16],[95,20,95,21],[79,26,79,27],[79,6,79,7],[80,6,80,7],[81,6,81,7],[80,14,80,15],[91,20,91,21],[92,20,92,21],[93,20,93,21]]}
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[null,"EXPOSURE MISCLASSIFICATION                                                                                                       ",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"person time"]
[null,"This spreadsheet can be used to conduct a simple sensitivity analysis to correct for exposure misclassification. The example follows  Greenland, S., and T. L. Lash. 2008. chapter 19  Bias analysis. In Modern Epidemiology,  K. J.Rothman, S. Greenland, and T. L. Lash, 3rd ed",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Calculations"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"IF(OR(COUNT(AA5,AA7,AA12,AA10)=0,MIN(ABS(AA5),ABS(AA7),ABS(AA12),ABS(AA10))>=10),0,ROUNDUP(ABS(LOG10(MIN(ABS(AA5),ABS(AA12),ABS(AA12),ABS(AA10)))),0)+1)","v":{"$error":"#DIV/0!"}},null,null,null,{"$f":"G12","v":"Se (D+)"},{"$f":"G13","v":"Se (D-)"},{"$f":"G14","v":"Sp (D+)"},{"$f":"G15","v":"Sp (D-)"}]
[null,"Instructions",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"RR",null,null,{"$f":"(C21/C25)/(F21/F25)","v":{"$error":"#DIV/0!"}},null,null,null,0,0,0,0]
[null,"Enter the bias parameters in the blue cells to the left and the observed data in the blue cells below. Cells in green give the results after correcting for exposure misclassification. Note: green cells are expected values and therefore do not have to be integers.",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"SE(LN(RR))",null,null,{"$f":"SQRT(1/C21-1/C25+1/F21-1/F25)","v":{"$error":"#DIV/0!"}},null,null,null,7,7,7,7]
[null,"Input Bias Parameters",null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Confirm distribution",null,null,null,null,null,null,"OR",null,null,{"$f":"(C21/C23)/(F21/F23)","v":{"$error":"#DIV/0!"}},null,null,null,0.75,0.75,0.75,0.75]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"SE(LN(OR))",null,null,{"$f":"SQRT(1/C21+1/C23+1/F21+1/F23)","v":{"$error":"#DIV/0!"}},null,{"$f":"AA7*EXP(AA8*1.96)","v":{"$error":"#DIV/0!"}},null,0.8,0.8,0.8,0.8]
[null,null,null,"The parameters are ","Se /Sp",null,null,null,null,"Select Method","Setting of Single",null,null,null,null,null,{"$f":"COUNT(N12:O15)","v":0},null,3,null,null,null,null,"SE(LN(RR)) Corrected",null,null,{"$f":"IF($G$10=1,SQRT((C21*F21*I21)/((M21*P21*(K12*K14-((1-K12)*(1-K14))))^2)+(C25*F25*I25)/((M25*P25*(K13*K15-((1-K13)*(1-K15))))^2)),AB9)","v":{"$error":"#VALUE!"}},{"$f":"IF($G$10=2,SQRT((C21*F21*I21)/((M21*P21*((K12*C21/M21)*(K14*F21/P21)-((1-(K12*C21/M21))*(1-(K14*F21/P21)))))^2)+(C25*F25*I25)/((M25*P25*((K13*C23/M23)*(K15*F23/P23)-((1-(K13*C23/M23))*(1-(K15*F23/P23)))))^2)),\"\")","v":""},null,null,0.85,0.85,0.85,0.85]
[null,null,null,null,{"$f":"TRIM(LEFT(E9,3))","v":"Se"},{"$f":"MID(E9,5,3)","v":"Sp"},{"$f":"IF(E9=\"\",0,IF(E9=\"Se /Sp\",1,2))","v":1},null,null,null,null,null,null,null,{"$f":"IF($K$9<>\"Setting of Probabilistic\",\"Increment\",\"Mod1/α\")","v":"Increment"},{"$f":"IF($K$9<>\"Setting of Probabilistic\",\"\",\"Mod2/β\")","v":""},{"$f":"IF(Setting_Multi_Prob=\"Setting of Probabilistic\",\"Distribution\",\"\")","v":""},null,null,null,null,null,null,"Corrected RR",null,null,{"$f":"IF(AA15=0,(M21/M25)/(P21/P25),\"\")","v":{"$error":"#VALUE!"}},null,null,null,0.9,0.9,0.9,0.9]
[null,"Variable Names",null,null,null,null,null,null,null,"Bias Parameters",{"$f":"IF($K$9=\"Setting of Multidimensional\",IF(K16=TRUE,\"List\",\"Min\"),IF($K$9=\"Setting of Single\",\"\",\"Min\"))","v":""},null,null,{"$f":"IF($K$9<>\"Setting of Probabilistic\",\"#Cycle\",\"Max\" & IF(OR(Q12=\"Orec\",Q12=\"Normal\",Q13=\"Normal\",Q14=\"Normal\",Q15=\"Normal\",Q12=\"Log-normal\",Q13=\"Log-normal\",Q14=\"Log-normal\",Q15=\"Log-normal\",Q12=\"Pr2+Uniform\",Q14=\"Pr4+Uniform\"),\"/SD\",\"\"))","v":"#Cycle"},null,null,null,null,"Max",{"$f":"IF(AND(Setting_Multi_Prob=\"Setting of Probabilistic\",ISERR(SEARCH(\"Correlate\",CONCATENATE(Q12,Q13,Q14,Q15)))=FALSE),\"ρ\",\"\")","v":""},null,null,null,"SE(LN(OR)) Corrected",null,null,{"$f":"IF($G$10=1,SQRT((C21*F21*I21)/((M21*P21*(K12*K14-((1-K12)*(1-K14))))^2)+(C23*F23*I23)/((M23*P23*(K13*K15-((1-K13)*(1-K15))))^2)),AB11)","v":{"$error":"#VALUE!"}},{"$f":"IF($G$10=2,SQRT((C21*F21*I21)/((M21*P21*((K12*C21/M21)*(K14*F21/P21)-((1-(K12*C21/M21))*(1-(K14*F21/P21)))))^2)+(C23*F23*I23)/((M23*P23*((K13*C23/M23)*(K15*F23/P23)-((1-(K13*C23/M23))*(1-(K15*F23/P23)))))^2)),\"\")","v":""},null,null,null,null,0.95,0.95]
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[{"$f":"IF($B$39=\"\",\"\",IF(COUNTIF($A$39:A58,$N$15)<=$N$13,IF(A58<$N$15,A58+1,0),\"\"))","v":""},{"$f":"IF(A59<>\"\",IF(A59=0,IF($K$16=TRUE,INDEX($AI$5:$AI$14,COUNTIF($A$39:A58,1)+1),$B$39+$O$13*COUNTIF(A$39:$A58,0)),B58),\"\")","v":""},""]
[{"$f":"IF($B$39=\"\",\"\",IF(COUNTIF($A$39:A59,$N$15)<=$N$13,IF(A59<$N$15,A59+1,0),\"\"))","v":""},{"$f":"IF(A60<>\"\",IF(A60=0,IF($K$16=TRUE,INDEX($AI$5:$AI$14,COUNTIF($A$39:A59,1)+1),$B$39+$O$13*COUNTIF(A$39:$A59,0)),B59),\"\")","v":""},""]
[{"$f":"IF($B$39=\"\",\"\",IF(COUNTIF($A$39:A60,$N$15)<=$N$13,IF(A60<$N$15,A60+1,0),\"\"))","v":""},{"$f":"IF(A61<>\"\",IF(A61=0,IF($K$16=TRUE,INDEX($AI$5:$AI$14,COUNTIF($A$39:A60,1)+1),$B$39+$O$13*COUNTIF(A$39:$A60,0)),B60),\"\")","v":""},""]
[{"$f":"IF($B$39=\"\",\"\",IF(COUNTIF($A$39:A61,$N$15)<=$N$13,IF(A61<$N$15,A61+1,0),\"\"))","v":""},{"$f":"IF(A62<>\"\",IF(A62=0,IF($K$16=TRUE,INDEX($AI$5:$AI$14,COUNTIF($A$39:A61,1)+1),$B$39+$O$13*COUNTIF(A$39:$A61,0)),B61),\"\")","v":""},""]
[{"$f":"IF($B$39=\"\",\"\",IF(COUNTIF($A$39:A62,$N$15)<=$N$13,IF(A62<$N$15,A62+1,0),\"\"))","v":""},{"$f":"IF(A63<>\"\",IF(A63=0,IF($K$16=TRUE,INDEX($AI$5:$AI$14,COUNTIF($A$39:A62,1)+1),$B$39+$O$13*COUNTIF(A$39:$A62,0)),B62),\"\")","v":""},""]
[{"$f":"IF($B$39=\"\",\"\",IF(COUNTIF($A$39:A63,$N$15)<=$N$13,IF(A63<$N$15,A63+1,0),\"\"))","v":""},{"$f":"IF(A64<>\"\",IF(A64=0,IF($K$16=TRUE,INDEX($AI$5:$AI$14,COUNTIF($A$39:A63,1)+1),$B$39+$O$13*COUNTIF(A$39:$A63,0)),B63),\"\")","v":""},""]
[{"$f":"IF($B$39=\"\",\"\",IF(COUNTIF($A$39:A64,$N$15)<=$N$13,IF(A64<$N$15,A64+1,0),\"\"))","v":""},{"$f":"IF(A65<>\"\",IF(A65=0,IF($K$16=TRUE,INDEX($AI$5:$AI$14,COUNTIF($A$39:A64,1)+1),$B$39+$O$13*COUNTIF(A$39:$A64,0)),B64),\"\")","v":""},""]
[{"$f":"IF($B$39=\"\",\"\",IF(COUNTIF($A$39:A65,$N$15)<=$N$13,IF(A65<$N$15,A65+1,0),\"\"))","v":""},{"$f":"IF(A66<>\"\",IF(A66=0,IF($K$16=TRUE,INDEX($AI$5:$AI$14,COUNTIF($A$39:A65,1)+1),$B$39+$O$13*COUNTIF(A$39:$A65,0)),B65),\"\")","v":""},""]
[{"$f":"IF($B$39=\"\",\"\",IF(COUNTIF($A$39:A66,$N$15)<=$N$13,IF(A66<$N$15,A66+1,0),\"\"))","v":""},{"$f":"IF(A67<>\"\",IF(A67=0,IF($K$16=TRUE,INDEX($AI$5:$AI$14,COUNTIF($A$39:A66,1)+1),$B$39+$O$13*COUNTIF(A$39:$A66,0)),B66),\"\")","v":""},""]
[{"$f":"IF($B$39=\"\",\"\",IF(COUNTIF($A$39:A67,$N$15)<=$N$13,IF(A67<$N$15,A67+1,0),\"\"))","v":""},{"$f":"IF(A68<>\"\",IF(A68=0,IF($K$16=TRUE,INDEX($AI$5:$AI$14,COUNTIF($A$39:A67,1)+1),$B$39+$O$13*COUNTIF(A$39:$A67,0)),B67),\"\")","v":""},""]
[{"$f":"IF($B$39=\"\",\"\",IF(COUNTIF($A$39:A68,$N$15)<=$N$13,IF(A68<$N$15,A68+1,0),\"\"))","v":""},{"$f":"IF(A69<>\"\",IF(A69=0,IF($K$16=TRUE,INDEX($AI$5:$AI$14,COUNTIF($A$39:A68,1)+1),$B$39+$O$13*COUNTIF(A$39:$A68,0)),B68),\"\")","v":""},""]
[{"$f":"IF($B$39=\"\",\"\",IF(COUNTIF($A$39:A69,$N$15)<=$N$13,IF(A69<$N$15,A69+1,0),\"\"))","v":""},{"$f":"IF(A70<>\"\",IF(A70=0,IF($K$16=TRUE,INDEX($AI$5:$AI$14,COUNTIF($A$39:A69,1)+1),$B$39+$O$13*COUNTIF(A$39:$A69,0)),B69),\"\")","v":""},""]
[{"$f":"IF($B$39=\"\",\"\",IF(COUNTIF($A$39:A70,$N$15)<=$N$13,IF(A70<$N$15,A70+1,0),\"\"))","v":""},{"$f":"IF(A71<>\"\",IF(A71=0,IF($K$16=TRUE,INDEX($AI$5:$AI$14,COUNTIF($A$39:A70,1)+1),$B$39+$O$13*COUNTIF(A$39:$A70,0)),B70),\"\")","v":""},""]
[{"$f":"IF($B$39=\"\",\"\",IF(COUNTIF($A$39:A71,$N$15)<=$N$13,IF(A71<$N$15,A71+1,0),\"\"))","v":""},{"$f":"IF(A72<>\"\",IF(A72=0,IF($K$16=TRUE,INDEX($AI$5:$AI$14,COUNTIF($A$39:A71,1)+1),$B$39+$O$13*COUNTIF(A$39:$A71,0)),B71),\"\")","v":""},""]
[{"$f":"IF($B$39=\"\",\"\",IF(COUNTIF($A$39:A72,$N$15)<=$N$13,IF(A72<$N$15,A72+1,0),\"\"))","v":""},{"$f":"IF(A73<>\"\",IF(A73=0,IF($K$16=TRUE,INDEX($AI$5:$AI$14,COUNTIF($A$39:A72,1)+1),$B$39+$O$13*COUNTIF(A$39:$A72,0)),B72),\"\")","v":""},""]
[{"$f":"IF($B$39=\"\",\"\",IF(COUNTIF($A$39:A73,$N$15)<=$N$13,IF(A73<$N$15,A73+1,0),\"\"))","v":""},{"$f":"IF(A74<>\"\",IF(A74=0,IF($K$16=TRUE,INDEX($AI$5:$AI$14,COUNTIF($A$39:A73,1)+1),$B$39+$O$13*COUNTIF(A$39:$A73,0)),B73),\"\")","v":""},""]
[]
[null,{"$f":"CONCATENATE(\"Probabilistic Corrected \",  IF(N16=\"RR\",\"Relative Risk\",\"Odds Ratio\"), \" Data\")","v":"Probabilistic Corrected Odds Ratio Data"}]
[]
[null,null,null,null,null,{"$f":"IF(B26=2,\"Incidence RR\",\"RR\") & \" Simulation Results (N=\"","v":"RR Simulation Results (N="},{"$f":"COUNT($K$123:$K$100122)","v":0},null,")",null,null,null,null,"OR Simulation Results (N=",{"$f":"COUNT(M123:M100122)","v":0},null,")",null,"Errors:",null,{"$f":"IF(AND(O78>0,COUNT(B123:B100122)>0),COUNT(B123:B100122)-COUNTIF(B123:B100122,4),\"-\")","v":"-"}]
[{"$f":"MAX($B$123:$B$100122)=4","v":false},"Analysis",null,null,null,"Median (2.5%ile-97.5%ile)",null,null,null,null,"Median (2.5%ile-97.5%ile)",null,null,null,null,null,null,null,{"$f":"IF(samp,\"re-sampling\",\"-\")","v":"-"},null,"-"]
[null,"Conventional",null,{"$f":"F30","v":""},null,null,"－",null,null,null,null,{"$f":"F31","v":""},null,null,"－",null,null,null,null,null,null,false]
[null,"Systematic",null,{"$f":"IF($A$79,CONCATENATE(ROUND(PERCENTILE(K123:K100122,0.5),2),\" (\",ROUND(PERCENTILE(K123:K100122,0.025),2),\" - \",ROUND(PERCENTILE(K123:K100122,0.975),2),\")\"),\"\")","v":""},null,null,{"$f":"IF(I79=\"\",\"－\",ROUND(COUNTIF(K$123:K$100122,IF(G79=\"Freq of RR≧\",\">=\",\"<=\") & I79)/COUNT(K$123:K$100122),ROUNDDOWN(LOG10(G78),0)))","v":"－"},null,false,null,null,{"$f":"IF($A$79,CONCATENATE(ROUND(PERCENTILE(M123:N100122,0.5),2),\" (\",ROUND(PERCENTILE(M123:M100122,0.025),2),\" - \",ROUND(PERCENTILE(M123:M100122,0.975),2),\")\"),\"\")","v":""},null,null,{"$f":"IF(Q79=\"\",\"－\",ROUND(COUNTIF(M$123:M$100122,IF(O79=\"Freq of OR≧\",\">=\",\"<=\") & Q79)/COUNT(M$123:M$100122),ROUNDDOWN(LOG10(O78),0)))","v":"－"},null,false]
[null,"Total Error",null,{"$f":"IF($A$79,CONCATENATE(ROUND(PERCENTILE(O123:O100122,0.5),2),\" (\",ROUND(PERCENTILE(O123:O100122,0.025),2),\" - \",ROUND(PERCENTILE(O123:O100122,0.975),2),\")\"),\"\")","v":""},null,null,{"$f":"IF(I79=\"\",\"－\",ROUND(COUNTIF(O$123:O$100122,IF(G79=\"Freq of RR≧\",\">=\",\"<=\") & I79)/COUNT(O$123:O$100122),ROUNDDOWN(LOG10(G78),0)))","v":"－"},null,false,null,null,{"$f":"IF($A$79,CONCATENATE(ROUND(PERCENTILE(Q123:Q100122,0.5),2),\" (\",ROUND(PERCENTILE(Q123:Q100122,0.025),2),\" - \",ROUND(PERCENTILE(Q123:Q100122,0.975),2),\")\"),\"\")","v":""},null,null,{"$f":"IF(Q79=\"\",\"－\",ROUND(COUNTIF(Q$123:Q$100122,IF(O79=\"Freq of OR≧\",\">=\",\"<=\") & Q79)/COUNT(Q$123:Q$100122),ROUNDDOWN(LOG10(O78),0)))","v":"－"},null,false,null,null,{"$f":"COUNT(C123:C100122)","v":0}]
[]
[null,null,{"$f":"IF(ExEr,\"Distribution of used parameters\",\"Distribution of setting parameters\")","v":"Distribution of setting parameters"}]
[]
[]
[]
[]
[]
[]
[null,null,null,null,null,null,{"$f":"IF(OR(B84<>\"\",AND(ExEr,Illegal>0)),CHAR(13)&CHAR(10)&CHAR(13)&CHAR(10)&CHAR(13)&CHAR(10)&\"Plots of \"&IF(AND(ExEr,Illegal>0),\" exclude error data \",\"\") & IF(AND(B84<>\"\",AND(ExEr,Illegal>0)),\" and \",\"\") & B84,\"\")","v":""},null,null,null,null,null,null,null,null,null,null,"Summary of used parameters"]
[null,null,"-",1,null,null,null,null,null,null,null,null,null,null,null,null,null,"Summary of used parameters",null,"Min","2.5%tile",null,"Median",null,"97.5%tile","Max","Mode","Mean"]
[null,null,{"$f":"IF($B$26=2,\"I\",\"\") & \"RRsys\"","v":"RRsys"},null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"$C$122","v":"Se(D+)"},null,0.80038499951360165,0.86980653384040274,null,0.98030899237539726,null,0.99885392082075553,0.9999888420214148,0.99375511115810078,0.96852181370678825]
[null,null,{"$f":"IF($B$26=2,\"I\",\"\") & \"RRtotal\"","v":"RRtotal"},null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"$E$122","v":"Se(D-)"},null,0.80079171929638038,0.87115559556619548,null,0.98059001096300857,null,0.99869359107219113,0.99995763237637703,0.99806553865442682,0.96793063791726952]
[null,null,"ORsys",null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"$G$122","v":"Sp(D+)"},null,0.80262215734625497,0.83374885915202479,null,0.95354097777721691,null,0.99658140924435246,0.99991609191114361,0.99452752373993336,0.94149154778619237]
[null,null,"ORtotal",null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"$I$122","v":"Sp(D-)"},null,0.80441870164828344,0.83036523666459827,null,0.95267351706676207,null,0.99683232852906833,0.99969010033252492,0.98722214126839636,0.94142503840606928]
[]
[]
[]
[]
[]
[null,null,null,null,null,null,null,null,null,null,{"$f":"IF(LEFT($Q$13,9)=\"Correlate\",\"Correlation coefficient between \" & $C$122 & \" and \" & $E$122,\"\")","v":""},{"$f":"IF($K$102<>\"\",PEARSON($C$123:$C$100122,$E$123:$E$100122),\"\")","v":""},null,null,null,null,null,false]
[null,null,null,null,null,null,null,null,null,null,{"$f":"IF(LEFT($Q$14,9)=\"Correlate\",\"Correlation coefficient between \" & $C$122 & \" and \" & $G$122,\"\")","v":""},{"$f":"IF($K$103<>\"\",CORREL($C$123:$C$100122,$G$123:$G$100122),\"\")","v":""}]
[null,null,null,null,null,null,null,null,null,null,{"$f":"IF(LEFT($Q$15,9)=\"Correlate\",\"Correlation coefficient between \" & CHOOSE(VALUE(RIGHT($Q$15,1)),$C$122,$E$122,$G$122) & \" and \" & $I$122,\"\")","v":""},{"$f":"IF($K$104<>\"\",PEARSON(CHOOSE(VALUE(RIGHT($Q$15,1)),$C$123:$C$100122,$E$123:$E$100122,$G$123:$G$100122),$I$123:$I$100122),\"\")","v":""}]
[]
[null,"Notes"]
[]
[]
[]
[]
[null,"Equations",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"COUNT($M123:$M100122)=0","v":true}]
[null,"  A = [a – r * (1 - SPD+) ] / [SED+ - (1 - SPD+)]\n     =PpvD+a + (1 - NpvD+)b",null,null,null,null,null,null,null,null,"r = a + b = A + B",null,null,null,null,"B = r  -  A",null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"IF(Illegal=0,\"\",MAX_MIN(1,$C123:$C100122,$B123:$B100122,IF($AD111,0,4)))","v":0},{"$f":"IF(Illegal=0,\"\",MAX_MIN(2,$C123:$C100122,$B123:$B100122,IF($AD111,0,4)))","v":0}]
[null,"  C=  [c – s *  (1 - SPD-)]  / [SED- - (1 - SPD-)]\n     =PpvD-c + (1 - NpvD-)d",null,null,null,null,null,null,null,null,"s = c + d = C + D",null,null,null,null,"D = s  -  C",null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"IF(Illegal=0,\"\",MAX_MIN(1,$E123:$E100122,$B123:$B100122,IF($AD111,0,4)))","v":0},{"$f":"IF(Illegal=0,\"\",MAX_MIN(2,$E123:$E100122,$B123:$B100122,IF($AD111,0,4)))","v":0}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"IF(Illegal=0,\"\",MAX_MIN(1,$G123:$G100122,$B123:$B100122,IF($AD111,0,4)))","v":0},{"$f":"IF(Illegal=0,\"\",MAX_MIN(2,$G123:$G100122,$B123:$B100122,IF($AD111,0,4)))","v":0}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"IF(Illegal=0,\"\",MAX_MIN(1,$I123:$I100122,$B123:$B100122,IF($AD111,0,4)))","v":0},{"$f":"IF(Illegal=0,\"\",MAX_MIN(2,$I123:$I100122,$B123:$B100122,IF($AD111,0,4)))","v":0}]
[]
[null,null,{"$f":"IF(OR(LEFT(Q12,3)=\"Log\",LEFT(Q12,5)=\"expit\",LEFT(Q13,3)=\"Log\",LEFT(Q13,5)=\"expit\",AND(MIN(C123:C100122,E123:E100122)>0,IFERROR(MAX(C123:C100122,E123:E100122)/MEDIAN(C123:C100122,E123:E100122),0)>10)),\"対数\",\"\")","v":""},null,null,null,{"$f":"IF(OR(LEFT(Q14,3)=\"Log\",LEFT(Q14,5)=\"expit\",LEFT(Q15,3)=\"Log\",LEFT(Q15,5)=\"expit\",AND(MIN(G123:G100122,I123:I100122)>0,IFERROR(MAX(G123:G100122,I123:I100122)/MEDIAN(G123:G100122,I123:I100122),0)>10)),\"対数\",\"\")","v":""},null,{"$f":"IF(AND(MIN(I123:I100122)>0,IFERROR(MAX(I123:I100122)/MEDIAN(I123:I100122),0)>10),\"対数\",\"\")","v":""},null,null,null,{"$f":"IF(AND(MIN(M123:M100122)>0,IFERROR(MAX(M123:M100122)/MEDIAN(M123:M100122),0)>10),\"対数\",\"\")","v":""},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"IF(AND(COUNT(C123:I123)>3,Illegal>0),CONCATENATE(\"Exclude error data \",CHAR(13),V122,\"：\",ROUND(AD112,3),\"～\",ROUND(AE112,3),CHAR(13),W122,\"：\",ROUND(AD113,3),\"～\",ROUND(AE113,3),CHAR(13),Z122,\"：\",ROUND(AD114,3),\"～\",ROUND(AE114,3),CHAR(13),AA122,\"：\",ROUND($AD$115,3),\"～\",ROUND(AE115,3)),\"\")","v":""}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"MIN(C123:C100122,E123:E100122)","v":0},{"$f":"MAX(C123:C100122,E123:E100122)","v":0},{"$f":"IF($C$117=\"対数\",(LOG10(V118)-LOG10(U118))/20,(V118-U118)/20)","v":0},null,{"$f":"MIN(G123:G100122,I123:I100122)","v":0},{"$f":"MAX(G123:G100122,I123:I100122)","v":0},{"$f":"IF($G$117=\"対数\",(LOG10(Z118)-LOG10(Y118))/20,(Z118-Y118)/20)","v":0},1,"両方"]
[null,null,{"$f":"C122 & \", \" & E122","v":"Se(D+), Se(D-)"},null,null,null,{"$f":"G122 & \", \" & I122","v":"Sp(D+), Sp(D-)"},null,null,{"$f":"ROUNDDOWN(U118,2)-(K119-ROUNDDOWN(U118,2))","v":0},{"$f":"ROUNDUP(V118,2)","v":0},{"$f":"ROUNDDOWN(Y118,2)","v":0},{"$f":"ROUNDUP(Z118,2)+(ROUNDUP(Z118,2)-L119)","v":0},{"$f":"ROUNDDOWN(MIN(M123:M2122),-1*LOG(MIN(M123:M2122))+1)","v":{"$error":"#NUM!"}},{"$f":"ROUNDUP(_xlfn.PERCENTILE.INC(M123:M2122,0.99),2)","v":{"$error":"#NUM!"}},null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"IF($M$117=\"対数\",(LOG10(AB121)-LOG10(AB120))/22,(AB121-AB120)/22)","v":0},"RR"]
[null,null,"Single Iteration",null,null,null,null,null,null,null,1,0.24500000000000013,{"$f":"COUNTIF(M123:M100123,\"<\" & (K120+L120))-COUNTIF(M123:M100123,\"<\" & (K120-L120))","v":0},null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"MAX(V123:W145)","v":0},{"$f":"IF($M$117=\"対数\",IF(AB118=2,MIN(K123:K100122),IF(AB118=3,MIN(M123:M100122),MIN(K123:K100122,M123:M100122))),ROUNDDOWN(IF(AB118=2,MIN(K123:K100122),IF(AB118=3,MIN(M123:M100122),MIN(K123:K100122,M123:M100122))),2))","v":0},"OR"]
[null,null,"Chosen Bias Parameters",null,null,null,null,null,null,null,"Syst Error",null,null,null," + Rand Error",null,null,null,null,null,"Histogram",null,null,null,null,null,{"$f":"MAX(Z123:AA145)","v":0},{"$f":"IF($M$117=\"対数\",ROUNDUP(IF(AB118=2,_xlfn.PERCENTILE.INC(K123:K100122,0.95),IF(AB118=3,_xlfn.PERCENTILE.INC(M123:M100122,0.95),_xlfn.PERCENTILE.INC((K123:K100122,M123:M100122),0.95))),2),ROUNDUP(IF(AB118=2,MAX(K123:K100122),IF(AB118=3,MAX(M123:M100122),MAX(K123:K100122,M123:M100122))),2))","v":0}]
[null,null,{"$f":"$E$10 & \"(D+)\"","v":"Se(D+)"},null,{"$f":"$E$10 & \"(D-)\"","v":"Se(D-)"},null,{"$f":"$F$10 & \"(D+)\"","v":"Sp(D+)"},null,{"$f":"$F$10 & \"(D-)\"","v":"Sp(D-)"},null,"RR",null,"OR",null,{"$f":"K122","v":"RR"},null,{"$f":"M122","v":"OR"},null,null,null,"Bins for Graphs",{"$f":"C122","v":"Se(D+)"},{"$f":"E122","v":"Se(D-)"},null,"Bins for Graphs",{"$f":"G122","v":"Sp(D+)"},{"$f":"I122","v":"Sp(D-)"},null,{"$f":"K121 & \" \" & K122","v":"Syst Error RR"},{"$f":"K121 & \" \" & M122","v":"Syst Error OR"}]
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[null,"OUTCOME MISCLASSIFICATION                                                                                                      ",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"person time"]
[null,"This spreadsheet can be used to conduct a simple sensitivity analysis to correct for unknown or unmeasured confounding. The example follows  Greenland, S., and T. L. Lash. 2008. chapter 19  Bias analysis. In Modern Epidemiology,  K. J.Rothman, S. Greenland, and T. L. Lash, 3rd ed",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Calculations"]
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[null,"Instructions",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"RR",null,null,{"$f":"(C21/C25)/(F21/F25)","v":{"$error":"#DIV/0!"}},null,0.5,0.4,0.8,0.8]
[null,"Enter the bias parameters in the blue cells to the left and the observed data in the blue cells below. Cells in green give the results after correcting for outcome misclassification. Note: green cells are expected values and therefore do not have to be integers.",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"SE(LN(RR))",null,null,{"$f":"SQRT(1/C21-1/C25+1/F21-1/F25)","v":{"$error":"#DIV/0!"}},null,0.6,0.5,0.85,0.85]
[null,"Input Bias Parameters",null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Confirm distribution",null,null,null,null,null,null,"OR",null,null,{"$f":"(C21/C23)/(F21/F23)","v":{"$error":"#DIV/0!"}},null,0.7,0.6,0.9,0.9]
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[{"$f":"IF($B$39=\"\",\"\",IF(COUNTIF($A$39:A58,$N$15)<=$N$13,IF(A58<$N$15,A58+1,0),\"\"))","v":""},{"$f":"IF(A59<>\"\",IF(A59=0,IF($K$16=TRUE,INDEX($AD$5:$AD$14,COUNTIF($A$39:A58,1)+1),$B$39+$O$13*COUNTIF(A$39:$A58,0)),B58),\"\")","v":""},""]
[{"$f":"IF($B$39=\"\",\"\",IF(COUNTIF($A$39:A59,$N$15)<=$N$13,IF(A59<$N$15,A59+1,0),\"\"))","v":""},{"$f":"IF(A60<>\"\",IF(A60=0,IF($K$16=TRUE,INDEX($AD$5:$AD$14,COUNTIF($A$39:A59,1)+1),$B$39+$O$13*COUNTIF(A$39:$A59,0)),B59),\"\")","v":""},""]
[{"$f":"IF($B$39=\"\",\"\",IF(COUNTIF($A$39:A60,$N$15)<=$N$13,IF(A60<$N$15,A60+1,0),\"\"))","v":""},{"$f":"IF(A61<>\"\",IF(A61=0,IF($K$16=TRUE,INDEX($AD$5:$AD$14,COUNTIF($A$39:A60,1)+1),$B$39+$O$13*COUNTIF(A$39:$A60,0)),B60),\"\")","v":""},""]
[{"$f":"IF($B$39=\"\",\"\",IF(COUNTIF($A$39:A61,$N$15)<=$N$13,IF(A61<$N$15,A61+1,0),\"\"))","v":""},{"$f":"IF(A62<>\"\",IF(A62=0,IF($K$16=TRUE,INDEX($AD$5:$AD$14,COUNTIF($A$39:A61,1)+1),$B$39+$O$13*COUNTIF(A$39:$A61,0)),B61),\"\")","v":""},""]
[{"$f":"IF($B$39=\"\",\"\",IF(COUNTIF($A$39:A62,$N$15)<=$N$13,IF(A62<$N$15,A62+1,0),\"\"))","v":""},{"$f":"IF(A63<>\"\",IF(A63=0,IF($K$16=TRUE,INDEX($AD$5:$AD$14,COUNTIF($A$39:A62,1)+1),$B$39+$O$13*COUNTIF(A$39:$A62,0)),B62),\"\")","v":""},""]
[{"$f":"IF($B$39=\"\",\"\",IF(COUNTIF($A$39:A63,$N$15)<=$N$13,IF(A63<$N$15,A63+1,0),\"\"))","v":""},{"$f":"IF(A64<>\"\",IF(A64=0,IF($K$16=TRUE,INDEX($AD$5:$AD$14,COUNTIF($A$39:A63,1)+1),$B$39+$O$13*COUNTIF(A$39:$A63,0)),B63),\"\")","v":""},""]
[{"$f":"IF($B$39=\"\",\"\",IF(COUNTIF($A$39:A64,$N$15)<=$N$13,IF(A64<$N$15,A64+1,0),\"\"))","v":""},{"$f":"IF(A65<>\"\",IF(A65=0,IF($K$16=TRUE,INDEX($AD$5:$AD$14,COUNTIF($A$39:A64,1)+1),$B$39+$O$13*COUNTIF(A$39:$A64,0)),B64),\"\")","v":""},""]
[{"$f":"IF($B$39=\"\",\"\",IF(COUNTIF($A$39:A65,$N$15)<=$N$13,IF(A65<$N$15,A65+1,0),\"\"))","v":""},{"$f":"IF(A66<>\"\",IF(A66=0,IF($K$16=TRUE,INDEX($AD$5:$AD$14,COUNTIF($A$39:A65,1)+1),$B$39+$O$13*COUNTIF(A$39:$A65,0)),B65),\"\")","v":""},""]
[{"$f":"IF($B$39=\"\",\"\",IF(COUNTIF($A$39:A66,$N$15)<=$N$13,IF(A66<$N$15,A66+1,0),\"\"))","v":""},{"$f":"IF(A67<>\"\",IF(A67=0,IF($K$16=TRUE,INDEX($AD$5:$AD$14,COUNTIF($A$39:A66,1)+1),$B$39+$O$13*COUNTIF(A$39:$A66,0)),B66),\"\")","v":""},""]
[{"$f":"IF($B$39=\"\",\"\",IF(COUNTIF($A$39:A67,$N$15)<=$N$13,IF(A67<$N$15,A67+1,0),\"\"))","v":""},{"$f":"IF(A68<>\"\",IF(A68=0,IF($K$16=TRUE,INDEX($AD$5:$AD$14,COUNTIF($A$39:A67,1)+1),$B$39+$O$13*COUNTIF(A$39:$A67,0)),B67),\"\")","v":""},""]
[{"$f":"IF($B$39=\"\",\"\",IF(COUNTIF($A$39:A68,$N$15)<=$N$13,IF(A68<$N$15,A68+1,0),\"\"))","v":""},{"$f":"IF(A69<>\"\",IF(A69=0,IF($K$16=TRUE,INDEX($AD$5:$AD$14,COUNTIF($A$39:A68,1)+1),$B$39+$O$13*COUNTIF(A$39:$A68,0)),B68),\"\")","v":""},""]
[{"$f":"IF($B$39=\"\",\"\",IF(COUNTIF($A$39:A69,$N$15)<=$N$13,IF(A69<$N$15,A69+1,0),\"\"))","v":""},{"$f":"IF(A70<>\"\",IF(A70=0,IF($K$16=TRUE,INDEX($AD$5:$AD$14,COUNTIF($A$39:A69,1)+1),$B$39+$O$13*COUNTIF(A$39:$A69,0)),B69),\"\")","v":""},""]
[{"$f":"IF($B$39=\"\",\"\",IF(COUNTIF($A$39:A70,$N$15)<=$N$13,IF(A70<$N$15,A70+1,0),\"\"))","v":""},{"$f":"IF(A71<>\"\",IF(A71=0,IF($K$16=TRUE,INDEX($AD$5:$AD$14,COUNTIF($A$39:A70,1)+1),$B$39+$O$13*COUNTIF(A$39:$A70,0)),B70),\"\")","v":""},""]
[{"$f":"IF($B$39=\"\",\"\",IF(COUNTIF($A$39:A71,$N$15)<=$N$13,IF(A71<$N$15,A71+1,0),\"\"))","v":""},{"$f":"IF(A72<>\"\",IF(A72=0,IF($K$16=TRUE,INDEX($AD$5:$AD$14,COUNTIF($A$39:A71,1)+1),$B$39+$O$13*COUNTIF(A$39:$A71,0)),B71),\"\")","v":""},""]
[{"$f":"IF($B$39=\"\",\"\",IF(COUNTIF($A$39:A72,$N$15)<=$N$13,IF(A72<$N$15,A72+1,0),\"\"))","v":""},{"$f":"IF(A73<>\"\",IF(A73=0,IF($K$16=TRUE,INDEX($AD$5:$AD$14,COUNTIF($A$39:A72,1)+1),$B$39+$O$13*COUNTIF(A$39:$A72,0)),B72),\"\")","v":""},""]
[{"$f":"IF($B$39=\"\",\"\",IF(COUNTIF($A$39:A73,$N$15)<=$N$13,IF(A73<$N$15,A73+1,0),\"\"))","v":""},{"$f":"IF(A74<>\"\",IF(A74=0,IF($K$16=TRUE,INDEX($AD$5:$AD$14,COUNTIF($A$39:A73,1)+1),$B$39+$O$13*COUNTIF(A$39:$A73,0)),B73),\"\")","v":""},""]
[]
[null,{"$f":"CONCATENATE(\"Probabilistic Corrected \",  IF(N16=\"RR\",\"Relative Risk\",\"Odds Ratio\"), \" Data\")","v":"Probabilistic Corrected Odds Ratio Data"}]
[]
[null,null,null,null,null,{"$f":"IF($B$26=2,\"I\",\"\") & \"RR Simulation Results (N=\"","v":"IRR Simulation Results (N="},{"$f":"COUNT(K123:K100122)","v":0},null,")",null,null,null,null,"OR Simulation Results (N=",{"$f":"COUNT(M123:M100122)","v":0},null,")",null,"Errors:",null,{"$f":"IF(AND(O78>0,COUNT(B123:B100122)>0),COUNT(B123:B100122)-COUNTIF(B123:B100122,4),\"-\")","v":"-"}]
[{"$f":"MAX($B$123:$B$100122)=4","v":false},"Analysis",null,null,null,"Median (2.5%ile-97.5%ile)",null,null,null,null,"Median (2.5%ile-97.5%ile)",null,null,null,null,null,null,null,{"$f":"IF(samp,\"re-sampling\",\"-\")","v":"-"},null,"-"]
[null,"Conventional",null,{"$f":"F30","v":""},null,null,"－",null,null,null,{"$f":"F31","v":""},null,null,null,"－",null,null,null,null,null,null,false]
[null,"Systematic",null,{"$f":"IF($A$79,CONCATENATE(ROUND(PERCENTILE(K123:K100122,0.5),2),\" (\",ROUND(PERCENTILE(K123:K100122,0.025),2),\" - \",ROUND(PERCENTILE(K123:K100122,0.975),2),\")\"),\"\")","v":""},null,null,{"$f":"IF(I79=\"\",\"－\",ROUND(COUNTIF(K$123:K$100122,IF(G79=\"Freq of RR≧\",\">=\",\"<=\") & I79)/COUNT(K$123:K$100122),ROUNDDOWN(LOG10(G78),0)))","v":"－"},null,false,null,{"$f":"IF($A$79,CONCATENATE(ROUND(PERCENTILE(M123:N100122,0.5),2),\" (\",ROUND(PERCENTILE(M123:M100122,0.025),2),\" - \",ROUND(PERCENTILE(M123:M100122,0.975),2),\")\"),\"\")","v":""},null,null,null,{"$f":"IF(Q79=\"\",\"－\",ROUND(COUNTIF(M$123:M$100122,IF(O79=\"Freq of OR≧\",\">=\",\"<=\") & Q79)/COUNT(M$123:M$100122),ROUNDDOWN(LOG10(O78),0)))","v":"－"},null,false]
[null,"Total Error",null,{"$f":"IF($A$79,CONCATENATE(ROUND(PERCENTILE(O123:O100122,0.5),2),\" (\",ROUND(PERCENTILE(O123:O100122,0.025),2),\" - \",ROUND(PERCENTILE(O123:O100122,0.975),2),\")\"),\"\")","v":""},null,null,{"$f":"IF(I79=\"\",\"－\",ROUND(COUNTIF(O$123:O$100122,IF(G79=\"Freq of RR≧\",\">=\",\"<=\") & I79)/COUNT(O$123:O$100122),ROUNDDOWN(LOG10(G78),0)))","v":"－"},null,false,null,{"$f":"IF($A$79,CONCATENATE(ROUND(PERCENTILE(Q123:Q100122,0.5),2),\" (\",ROUND(PERCENTILE(Q123:Q100122,0.025),2),\" - \",ROUND(PERCENTILE(Q123:Q100122,0.975),2),\")\"),\"\")","v":""},null,null,null,{"$f":"IF(Q79=\"\",\"－\",ROUND(COUNTIF(Q$123:Q$100122,IF(O79=\"Freq of OR≧\",\">=\",\"<=\") & Q79)/COUNT(Q$123:Q$100122),ROUNDDOWN(LOG10(O78),0)))","v":"－"},null,false,null,null,{"$f":"COUNT(C123:C100122)","v":0}]
[]
[null,null,{"$f":"IF(ExEr,\"Distribution of used parameters\",\"Distribution of setting parameters\")","v":"Distribution of setting parameters"}]
[]
[]
[]
[]
[]
[]
[null,null,null,null,null,null,null,{"$f":"IF(OR(B84<>\"\",AND(ExEr,Illegal>0)),CHAR(13)&CHAR(10)&CHAR(13)&CHAR(10)&CHAR(13)&CHAR(10)&\"Plots of \"&IF(AND(ExEr,Illegal>0),\" exclude error data \",\"\") & IF(AND(B84<>\"\",AND(ExEr,Illegal>0)),\" and \",\"\") & B84,\"\")","v":""},null,null,null,null,null,null,null,null,null,null,"Summary of used parameters"]
[null,null,"-",1,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Summary of used parameters",null,"Min","2.5%tile",null,"Median",null,"97.5%tile","Max","Mode","Mean"]
[null,null,{"$f":"IF($B$26=2,\"I\",\"\") &  \"RRsys\"","v":"IRRsys"},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"$C$122","v":"Se(E+)"},null,0.10816617673145666,0.1839573343161949,null,0.29975152827399898,null,0.41519437708688572,0.48159464261730367,0.32856477088424818,0.29967372050923563]
[null,null,{"$f":"IF($B$26=2,\"I\",\"\") & \"RRtotal\"","v":"IRRtotal"},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"$E$122","v":"Se(E-)"},null,0.51557791732659108,0.58435714264059535,null,0.69948253351354706,null,0.81373548242125016,0.8826779274208234,0.68887381159393191,0.6998146665970042]
[null,null,"ORsys",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"$G$122","v":"Sp(E+)"},null,1,1,null,1,null,1,1,1,1]
[null,null,"ORtotal",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"$I$122","v":"Sp(E-)"},null,1,1,null,1,null,1,1,1,1]
[]
[]
[]
[]
[]
[null,null,null,null,null,null,null,null,null,null,{"$f":"IF(LEFT($Q$13,9)=\"Correlate\",\"Correlation coefficient between \" & $C$122 & \" and \" & $E$122,\"\")","v":""},{"$f":"IF($K$102<>\"\",CORREL($C$123:$C$100122,$E$123:$E$100122),\"\")","v":""},null,null,null,null,null,null,false]
[null,null,null,null,null,null,null,null,null,null,{"$f":"IF(LEFT($Q$14,9)=\"Correlate\",\"Correlation coefficient between \" & $C$122 & \" and \" & $G$122,\"\")","v":""},{"$f":"IF($K$103<>\"\",CORREL($C$123:$C$100122,$G$123:$G$100122),\"\")","v":""}]
[null,null,null,null,null,null,null,null,null,null,{"$f":"IF(LEFT($Q$15,9)=\"Correlate\",\"Correlation coefficient between \" & CHOOSE(VALUE(RIGHT($Q$15,1)),$C$122,$E$122,$G$122) & \" and \" & $I$122,\"\")","v":""},{"$f":"IF($K$104<>\"\",CORREL(CHOOSE(VALUE(RIGHT($Q$15,1)),$C$123:$C$100122,$E$123:$E$100122,$G$123:$G$100122),$I$123:$I$100122),\"\")","v":""}]
[]
[null,"Notes"]
[null,"The data for this example come from:  "]
[null,"Momosaki R, Yasunaga H, Matsui H, Fushimi K, Abo M. Proton Pump Inhibitors versus Histamine-2 Receptor Antagonists and Risk of Pneumonia in Patients with Acute Stroke. J Stroke Cerebrovasc Dis. 2016 May;25(5):1035-40."]
[]
[]
[null,"Equations"]
[null,"  A = [a – (1 - SpE+)m* ] / [SeE+ - (1 - SpE+)]\n      =PpvE+a + (1-NpvE+)b",null,null,null,null,null,null,null,"B = m  -  A"]
[null,"  C=  [a –  (1 - SpE-)m*]  / [SEE- - (1 - SeE-)]\n     = NpvE-c + (1-PpvE-)a",null,null,null,null,null,null,null,"D = n  -  C"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"COUNT($M123:$M100122)=0","v":true}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"IF(Illegal=0,\"\",MAX_MIN(1,$C123:$C100122,$B123:$B100122,IF($AD114,0,4)))","v":0},{"$f":"IF(Illegal=0,\"\",MAX_MIN(2,$C123:$C100122,$B123:$B100122,IF($AD114,0,4)))","v":0}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"IF(Illegal=0,\"\",MAX_MIN(1,$E123:$E100122,$B123:$B100122,IF($AD114,0,4)))","v":0},{"$f":"IF(Illegal=0,\"\",MAX_MIN(2,$E123:$E100122,$B123:$B100122,IF($AD114,0,4)))","v":0}]
[null,null,{"$f":"IF(OR(LEFT(Q12,3)=\"Log\",LEFT(Q12,5)=\"expit\",LEFT(Q13,3)=\"Log\",LEFT(Q13,5)=\"expit\",AND(MIN(C123:C100122,E123:E100122)>0,IFERROR(MAX(C123:C100122,E123:E100122)/MEDIAN(C123:C100122,E123:E100122),0)>10)),\"対数\",\"\")","v":""},null,null,null,{"$f":"IF(OR(LEFT(Q14,3)=\"Log\",LEFT(Q14,5)=\"expit\",LEFT(Q15,3)=\"Log\",LEFT(Q15,5)=\"expit\",AND(MIN(G123:G100122,I123:I100122)>0,IFERROR(MAX(G123:G100122,I123:I100122)/MEDIAN(G123:G100122,I123:I100122),0)>10)),\"対数\",\"\")","v":""},null,{"$f":"IF(AND(MIN(I123:I100122)>0,IFERROR(MAX(I123:I100122)/MEDIAN(I123:I100122),0)>10),\"対数\",\"\")","v":""},null,null,null,{"$f":"IF(AND(MIN(M123:M100122)>0,IFERROR(MAX(M123:M100122)/MEDIAN(M123:M100122),0)>10),\"対数\",\"\")","v":""},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"IF(Illegal=0,\"\",MAX_MIN(1,$G123:$G100122,$B123:$B100122,IF($AD114,0,4)))","v":0},{"$f":"IF(Illegal=0,\"\",MAX_MIN(2,$G123:$G100122,$B123:$B100122,IF($AD114,0,4)))","v":0}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"MIN(C123:C100122,E123:E100122)","v":0},{"$f":"MAX(C123:C100122,E123:E100122)","v":0},{"$f":"IF($C$117=\"対数\",(LOG10(V118)-LOG10(U118))/20,(V118-U118)/20)","v":0},null,{"$f":"MIN(G123:G100122,I123:I100122)","v":0},{"$f":"MAX(G123:G100122,I123:I100122)","v":0},{"$f":"IF($G$117=\"対数\",(LOG10(Z118)-LOG10(Y118))/20,(Z118-Y118)/20)","v":0},3,"両方",{"$f":"IF(Illegal=0,\"\",MAX_MIN(1,$I123:$I100122,$B123:$B100122,IF($AD114,0,4)))","v":0},{"$f":"IF(Illegal=0,\"\",MAX_MIN(2,$I123:$I100122,$B123:$B100122,IF($AD114,0,4)))","v":0}]
[null,null,{"$f":"C122 & \", \" & E122","v":"Se(E+), Se(E-)"},null,null,null,{"$f":"G122 & \", \" & I122","v":"Sp(E+), Sp(E-)"},null,null,{"$f":"ROUNDDOWN(U118,2)-(K119-ROUNDDOWN(U118,2))","v":0},{"$f":"ROUNDUP(V118,2)","v":0},{"$f":"ROUNDDOWN(Y118,-1*LOG(ABS(Y118))+1)","v":{"$error":"#NUM!"}},{"$f":"ROUNDUP(Z118,2)+(ROUNDUP(Z118,2)-L119)","v":{"$error":"#NUM!"}},{"$f":"ROUNDDOWN(MIN(M123:M2122),-1*LOG(MIN(M123:M2122))+1)","v":{"$error":"#NUM!"}},{"$f":"ROUNDUP(MAX(M123:M2122),2)","v":0},null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"IF($M$117=\"対数\",(LOG10(AB121)-LOG10(AB120))/22,(AB121-AB120)/22)","v":0},"RR"]
[null,null,"Single Iteration",null,null,null,null,null,null,null,1,0.1,{"$f":"COUNTIF(M123:M100123,\"<\" & (K120+L120))-COUNTIF(M123:M100123,\"<\" & (K120-L120))","v":0},null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"MAX(V123:W145)","v":0},{"$f":"IF($M$117=\"対数\",(IF(AB118=2,MIN(K123:K100122),IF(AB118=3,MIN(M123:M100122),MIN(K123:K100122,M123:M100122)))),ROUNDDOWN(IF(AB118=2,MIN(K123:K100122),IF(AB118=3,MIN(M123:M100122),MIN(K123:K100122,M123:M100122))),2))","v":0},"OR",{"$f":"IF(AND(COUNT(C123:I123)>3,Illegal>0),CONCATENATE(\"Exclude error data \",CHAR(13),V122,\"：\",ROUND(AD115,3),\"～\",ROUND(AE115,3),CHAR(13),W122,\"：\",ROUND(AD116,3),\"～\",ROUND(AE116,3),CHAR(13),Z122,\"：\",ROUND(AD117,3),\"～\",ROUND(AE117,3),CHAR(13),AA122,\"：\",ROUND($AD$118,3),\"～\",ROUND(AE118,3)),\"\")","v":""}]
[null,null,"Chosen Bias Parameters",null,null,null,null,null,null,null,"Syst Error",null,null,null," + Rand Error",null,null,null,null,null,"Histogram",null,null,null,null,null,{"$f":"MAX(Z123:AA145)","v":0},{"$f":"IF($M$117=\"対数\",(ROUNDUP(IF(AB118=2,_xlfn.PERCENTILE.INC(K123:K100122,0.95),IF(AB118=3,_xlfn.PERCENTILE.INC(M123:M100122,0.95),_xlfn.PERCENTILE.INC((K123:K100122,M123:M100122),0.95))),2)),ROUNDUP(IF(AB118=2,MAX(K123:K100122),IF(AB118=3,MAX(M123:M100122),MAX(K123:K100122,M123:M100122))),2))","v":0}]
[null,null,{"$f":"$E$10 & \"(E+)\"","v":"Se(E+)"},null,{"$f":"$E$10 & \"(E-)\"","v":"Se(E-)"},null,{"$f":"$F$10 & \"(E+)\"","v":"Sp(E+)"},null,{"$f":"$F$10 & \"(E-)\"","v":"Sp(E-)"},null,{"$f":"IF($B$26=2,\"I\",\"\") & \"RR\"","v":"IRR"},null,"OR",null,{"$f":"K122","v":"IRR"},null,{"$f":"M122","v":"OR"},null,null,null,"Bins for Graphs",{"$f":"C122","v":"Se(E+)"},{"$f":"E122","v":"Se(E-)"},null,"Bins for Graphs",{"$f":"G122","v":"Sp(E+)"},{"$f":"I122","v":"Sp(E-)"},null,{"$f":"K121 & \" \" & K122","v":"Syst Error IRR"},{"$f":"K121 & \" \" & M122","v":"Syst Error OR"}]
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[]
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{"sheet":"Confounder_Misc","index":7,"n_rows":167,"n_cols":40,"rows_kept":167,"cut":false,"hidden":true,"merged":[[34,18,34,19],[48,18,48,19],[49,18,49,19],[46,13,46,19],[46,3,46,10],[34,14,34,15],[36,1,36,22],[28,7,28,10],[29,7,29,10],[28,12,28,14],[29,12,29,14],[38,5,38,7],[29,16,29,18],[37,9,37,14],[33,5,33,6],[37,2,37,7],[39,1,40,1],[41,1,42,1],[28,16,28,18],[33,9,33,10],[31,3,31,10],[38,19,38,21],[31,13,31,19],[5,27,5,28],[127,1,127,16],[128,1,128,16],[129,1,129,16],[49,5,49,6],[49,9,49,10],[49,14,49,15],[43,9,44,10],[48,5,48,6],[48,9,48,10],[48,14,48,15],[43,16,44,17],[43,5,44,6],[55,1,55,2],[125,1,125,22],[43,19,44,20],[39,2,40,3],[41,2,42,3],[43,2,44,3],[95,1,95,22],[39,16,40,17],[21,2,22,3],[33,14,33,15],[5,18,5,22],[27,29,27,30],[23,5,24,6],[19,5,20,6],[21,5,22,6],[19,9,20,10],[23,19,24,20],[21,19,22,20],[19,19,20,20],[19,16,20,17],[21,16,22,17],[23,16,24,17],[23,12,24,13],[27,12,27,14],[19,12,20,13],[27,16,27,18],[27,7,27,10],[21,9,22,10],[23,9,24,10],[21,12,22,13],[7,10,7,16],[2,1,2,16],[4,1,4,22],[9,12,9,13],[23,2,24,3],[13,12,13,13],[8,16,9,16],[8,17,9,17],[9,18,9,19],[14,3,14,6],[14,1,14,2],[10,12,10,13],[11,12,11,13],[18,16,18,18],[17,16,17,21],[10,18,10,19],[21,1,22,1],[23,1,24,1],[19,2,20,3],[19,1,20,1],[12,18,12,19],[10,3,10,6],[11,3,11,6],[13,7,13,11],[12,7,12,11],[13,18,13,19],[12,12,12,13],[12,3,12,6],[11,18,11,19],[10,7,10,11],[11,7,11,11],[18,19,18,21],[17,9,17,14],[1,20,1,22],[7,4,7,6],[14,15,14,16],[17,2,17,7],[12,1,12,2],[15,5,15,6],[38,16,38,18],[101,6,101,7],[99,14,99,15],[100,14,100,15],[101,14,101,15],[34,9,34,10],[34,5,34,6],[33,18,33,19],[37,16,37,21],[38,9,38,11],[38,12,38,14],[38,2,38,4],[18,2,18,4],[18,5,18,7],[18,12,18,14],[18,9,18,11],[10,1,10,2],[11,1,11,2],[126,1,126,16],[39,5,40,6],[41,5,42,6],[120,7,120,10],[99,10,99,13],[100,10,100,13],[101,10,101,13],[99,6,99,7],[100,6,100,7],[52,2,52,11],[120,12,120,20],[41,19,42,20],[98,6,98,7],[54,3,54,18],[41,12,42,13],[43,12,44,13],[41,9,42,10],[110,17,110,27],[97,19,97,20],[98,19,98,20],[98,21,98,22],[140,20,140,24],[132,11,132,17],[133,11,133,17],[97,21,97,22],[131,1,131,22],[121,11,121,13],[39,12,40,13],[97,6,97,7],[98,14,98,15],[39,9,40,10],[97,14,97,15],[110,12,119,16],[110,6,116,10],[51,1,51,22],[43,1,44,1],[41,16,42,17],[111,20,111,21],[112,20,112,21],[113,20,113,21],[114,20,114,21],[115,20,115,21],[39,19,40,20],[122,11,122,13],[123,11,123,13]]}
[null,{"$f":"IF(OR(COUNT(AC8,AC10)>0,MIN(AC8,AC10)>=1),2,ROUNDUP(ABS(LOG10(MIN(AC8,AC10))),0)+1)","v":{"$error":"#DIV/0!"}}]
[null,"CONFOUNDER MISCLASSIFICATION                                                                                                         "]
[null,"This spreadsheet can be used to conduct a simple sensitivity analysis to correct for confounder misclassification. "]
[null,"Instructions",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"H11","v":"Se(D+)"},{"$f":"H12","v":"Se(D-)"},{"$f":"H13","v":"Sp(D+)"},{"$f":"H14","v":"Sp(D-)"}]
[null,"Enter the bias parameters in the blue cells to the left and the stratified data in the blue cells below. Cells in green give the results after correcting for the misclassified confounder. Note  white cells are expected values and therefore do not have to be integers.\n",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0.5,0.5,0.5,0.4]
[null,"Input Bias Parameters",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Confirm distribution",null,null,null,null,null,null,null,null,"Calculations",null,null,0.6,0.6,0.6,0.5]
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[]
[null,null,null,"Standardized Morbidity Ratio",null,null,null,null,null,null,null,null,null,"Mantel-Haenszel"]
[]
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[]
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[]
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[]
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[]
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[null,null,null,"Standardized Morbidity Ratio",null,null,null,null,null,null,null,null,null,"Mantel-Haenszel"]
[]
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[]
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[{"$f":"IF($B$58=\"\",\"\",IF(COUNTIF($A$58:A77,$P$14)<=$P$12,IF(A77<$P$14,A77+1,0),\"\"))","v":""},{"$f":"IF(A78<>\"\",IF(A78=0,IF($M$15=TRUE,INDEX($AF$5:$AF$14,COUNTIF($A$58:A77,1)+1),$B$58+$Q$12*COUNTIF(A$58:$A77,0)),B77),\"\")","v":""},""]
[{"$f":"IF($B$58=\"\",\"\",IF(COUNTIF($A$58:A78,$P$14)<=$P$12,IF(A78<$P$14,A78+1,0),\"\"))","v":""},{"$f":"IF(A79<>\"\",IF(A79=0,IF($M$15=TRUE,INDEX($AF$5:$AF$14,COUNTIF($A$58:A78,1)+1),$B$58+$Q$12*COUNTIF(A$58:$A78,0)),B78),\"\")","v":""},""]
[{"$f":"IF($B$58=\"\",\"\",IF(COUNTIF($A$58:A79,$P$14)<=$P$12,IF(A79<$P$14,A79+1,0),\"\"))","v":""},{"$f":"IF(A80<>\"\",IF(A80=0,IF($M$15=TRUE,INDEX($AF$5:$AF$14,COUNTIF($A$58:A79,1)+1),$B$58+$Q$12*COUNTIF(A$58:$A79,0)),B79),\"\")","v":""},""]
[{"$f":"IF($B$58=\"\",\"\",IF(COUNTIF($A$58:A80,$P$14)<=$P$12,IF(A80<$P$14,A80+1,0),\"\"))","v":""},{"$f":"IF(A81<>\"\",IF(A81=0,IF($M$15=TRUE,INDEX($AF$5:$AF$14,COUNTIF($A$58:A80,1)+1),$B$58+$Q$12*COUNTIF(A$58:$A80,0)),B80),\"\")","v":""},""]
[{"$f":"IF($B$58=\"\",\"\",IF(COUNTIF($A$58:A81,$P$14)<=$P$12,IF(A81<$P$14,A81+1,0),\"\"))","v":""},{"$f":"IF(A82<>\"\",IF(A82=0,IF($M$15=TRUE,INDEX($AF$5:$AF$14,COUNTIF($A$58:A81,1)+1),$B$58+$Q$12*COUNTIF(A$58:$A81,0)),B81),\"\")","v":""},""]
[{"$f":"IF($B$58=\"\",\"\",IF(COUNTIF($A$58:A82,$P$14)<=$P$12,IF(A82<$P$14,A82+1,0),\"\"))","v":""},{"$f":"IF(A83<>\"\",IF(A83=0,IF($M$15=TRUE,INDEX($AF$5:$AF$14,COUNTIF($A$58:A82,1)+1),$B$58+$Q$12*COUNTIF(A$58:$A82,0)),B82),\"\")","v":""},""]
[{"$f":"IF($B$58=\"\",\"\",IF(COUNTIF($A$58:A83,$P$14)<=$P$12,IF(A83<$P$14,A83+1,0),\"\"))","v":""},{"$f":"IF(A84<>\"\",IF(A84=0,IF($M$15=TRUE,INDEX($AF$5:$AF$14,COUNTIF($A$58:A83,1)+1),$B$58+$Q$12*COUNTIF(A$58:$A83,0)),B83),\"\")","v":""},""]
[{"$f":"IF($B$58=\"\",\"\",IF(COUNTIF($A$58:A84,$P$14)<=$P$12,IF(A84<$P$14,A84+1,0),\"\"))","v":""},{"$f":"IF(A85<>\"\",IF(A85=0,IF($M$15=TRUE,INDEX($AF$5:$AF$14,COUNTIF($A$58:A84,1)+1),$B$58+$Q$12*COUNTIF(A$58:$A84,0)),B84),\"\")","v":""},""]
[{"$f":"IF($B$58=\"\",\"\",IF(COUNTIF($A$58:A85,$P$14)<=$P$12,IF(A85<$P$14,A85+1,0),\"\"))","v":""},{"$f":"IF(A86<>\"\",IF(A86=0,IF($M$15=TRUE,INDEX($AF$5:$AF$14,COUNTIF($A$58:A85,1)+1),$B$58+$Q$12*COUNTIF(A$58:$A85,0)),B85),\"\")","v":""},""]
[{"$f":"IF($B$58=\"\",\"\",IF(COUNTIF($A$58:A86,$P$14)<=$P$12,IF(A86<$P$14,A86+1,0),\"\"))","v":""},{"$f":"IF(A87<>\"\",IF(A87=0,IF($M$15=TRUE,INDEX($AF$5:$AF$14,COUNTIF($A$58:A86,1)+1),$B$58+$Q$12*COUNTIF(A$58:$A86,0)),B86),\"\")","v":""},""]
[{"$f":"IF($B$58=\"\",\"\",IF(COUNTIF($A$58:A87,$P$14)<=$P$12,IF(A87<$P$14,A87+1,0),\"\"))","v":""},{"$f":"IF(A88<>\"\",IF(A88=0,IF($M$15=TRUE,INDEX($AF$5:$AF$14,COUNTIF($A$58:A87,1)+1),$B$58+$Q$12*COUNTIF(A$58:$A87,0)),B87),\"\")","v":""},""]
[{"$f":"IF($B$58=\"\",\"\",IF(COUNTIF($A$58:A88,$P$14)<=$P$12,IF(A88<$P$14,A88+1,0),\"\"))","v":""},{"$f":"IF(A89<>\"\",IF(A89=0,IF($M$15=TRUE,INDEX($AF$5:$AF$14,COUNTIF($A$58:A88,1)+1),$B$58+$Q$12*COUNTIF(A$58:$A88,0)),B88),\"\")","v":""},""]
[{"$f":"IF($B$58=\"\",\"\",IF(COUNTIF($A$58:A89,$P$14)<=$P$12,IF(A89<$P$14,A89+1,0),\"\"))","v":""},{"$f":"IF(A90<>\"\",IF(A90=0,IF($M$15=TRUE,INDEX($AF$5:$AF$14,COUNTIF($A$58:A89,1)+1),$B$58+$Q$12*COUNTIF(A$58:$A89,0)),B89),\"\")","v":""},""]
[{"$f":"IF($B$58=\"\",\"\",IF(COUNTIF($A$58:A90,$P$14)<=$P$12,IF(A90<$P$14,A90+1,0),\"\"))","v":""},{"$f":"IF(A91<>\"\",IF(A91=0,IF($M$15=TRUE,INDEX($AF$5:$AF$14,COUNTIF($A$58:A90,1)+1),$B$58+$Q$12*COUNTIF(A$58:$A90,0)),B90),\"\")","v":""},""]
[{"$f":"IF($B$58=\"\",\"\",IF(COUNTIF($A$58:A91,$P$14)<=$P$12,IF(A91<$P$14,A91+1,0),\"\"))","v":""},{"$f":"IF(A92<>\"\",IF(A92=0,IF($M$15=TRUE,INDEX($AF$5:$AF$14,COUNTIF($A$58:A91,1)+1),$B$58+$Q$12*COUNTIF(A$58:$A91,0)),B91),\"\")","v":""},""]
[{"$f":"IF($B$58=\"\",\"\",IF(COUNTIF($A$58:A92,$P$14)<=$P$12,IF(A92<$P$14,A92+1,0),\"\"))","v":""},{"$f":"IF(A93<>\"\",IF(A93=0,IF($M$15=TRUE,INDEX($AF$5:$AF$14,COUNTIF($A$58:A92,1)+1),$B$58+$Q$12*COUNTIF(A$58:$A92,0)),B92),\"\")","v":""},""]
[]
[]
[null,{"$f":"CONCATENATE(\"Probabilistic Corrected \",  IF(N36=\"RR\",\"Relative Risk\",\"Odds Ratio\"), \" Data\")","v":"Probabilistic Corrected Odds Ratio Data"}]
[]
[null,null,null,null,null,"RR Simulation Results (N=",{"$f":"COUNT(K143:K100142)","v":0},null,")",null,null,null,null,"OR Simulation Results (N=",{"$f":"COUNT(M143:M100142)","v":0},null,")",null,null,"Errors:",null,{"$f":"IF(COUNT(B143:B100142)>0,COUNT(B143:B100142)-COUNTIF(B143:B100142,4),\"-\")","v":"-"}]
[{"$f":"MAX($B$143:$B$100142)=4","v":false},"Analysis",null,null,null,"Median (2.5%ile-97.5%ile)",null,null,null,null,"Median (2.5%ile-97.5%ile)",null,null,null,null,null,null,null,null,{"$f":"IF(samp,\"re-sampling\",\"-\")","v":"-"},null,"-"]
[null,"Conventional",null,null,null,{"$f":"H29","v":{"$error":"#DIV/0!"}},"－",null,null,null,{"$f":"H30","v":{"$error":"#DIV/0!"}},null,null,null,"－",null,null,null,null,null,null,false]
[null,"Systematic",null,null,null,{"$f":"IF($A$99,CONCATENATE(ROUND(PERCENTILE(K143:K100142,0.5),2),\" (\",ROUND(PERCENTILE(K143:K100142,0.025),2),\" - \",ROUND(PERCENTILE(K143:K100142,0.975),2),\")\"),\"\")","v":""},{"$f":"IF(I99=\"\",\"－\",ROUND(COUNTIF(K$143:K$100142,IF(G99=\"Freq of RR≧\",\">=\",\"<=\") & I99)/COUNT(K$143:K$100142),ROUNDDOWN(LOG10(G98),0)))","v":"－"},null,false,null,{"$f":"IF($A$99,CONCATENATE(ROUND(PERCENTILE(M143:N100142,0.5),2),\" (\",ROUND(PERCENTILE(M143:M100142,0.025),2),\" - \",ROUND(PERCENTILE(M143:M100142,0.975),2),\")\"),\"\")","v":""},null,null,null,{"$f":"IF(Q99=\"\",\"－\",ROUND(COUNTIF(M$143:M$100142,IF(O99=\"Freq of OR≧\",\">=\",\"<=\") & Q99)/COUNT(M$143:M$100142),ROUNDDOWN(LOG10(O98),0)))","v":"－"},null,false]
[null,"Total Error",null,null,null,{"$f":"IF($A$99,CONCATENATE(ROUND(PERCENTILE(O143:O100142,0.5),2),\" (\",ROUND(PERCENTILE(O143:O100142,0.025),2),\" - \",ROUND(PERCENTILE(O143:O100142,0.975),2),\")\"),\"\")","v":""},{"$f":"IF(I99=\"\",\"－\",ROUND(COUNTIF(O$143:O$100142,IF(G99=\"Freq of RR≧\",\">=\",\"<=\") & I99)/COUNT(O$143:O$100142),ROUNDDOWN(LOG10(G98),0)))","v":"－"},null,false,null,{"$f":"IF($A$99,CONCATENATE(ROUND(PERCENTILE(Q143:Q100142,0.5),2),\" (\",ROUND(PERCENTILE(Q143:Q100142,0.025),2),\" - \",ROUND(PERCENTILE(Q143:Q100142,0.975),2),\")\"),\"\")","v":""},null,null,null,{"$f":"IF(Q99=\"\",\"－\",ROUND(COUNTIF(Q$143:Q$100142,IF(O99=\"Freq of OR≧\",\">=\",\"<=\") & Q99)/COUNT(Q$143:Q$100142),ROUNDDOWN(LOG10(O98),0)))","v":"－"},null,false,null,null,{"$f":"COUNT(C143:C100142)","v":0}]
[]
[null,null,{"$f":"IF(ExEr,\"Distribution of used parameters\",\"Distribution of setting parameters\")","v":"Distribution of setting parameters"}]
[]
[]
[]
[]
[]
[]
[null,null,null,null,null,null,{"$f":"IF(OR(B104<>\"\",AND(ExEr,Illegal>0)),CHAR(13)&CHAR(10)&CHAR(13)&CHAR(10)&CHAR(13)&CHAR(10)&\"Plots of \"&IF(AND(ExEr,Illegal>0),\" exclude error data \",\"\")&IF(AND(B104<>\"\",AND(ExEr,Illegal>0)),\" and \",\"\") &B104,\"\")","v":""},null,null,null,null,null,null,null,null,null,null,"Summary of used parameters"]
[null,null,"-",1,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"COUNT(E148:E208,G148:G208)>5","v":false},null,"Min","2.5%tile",null,"Median",null,"97.5%tile","Max","Mode","Mean"]
[null,null,"RRsys",null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"$C$142","v":"Se(D+)"},null,0.60047471523284912,0.61081564664840693,null,0.79584090709686273,null,0.98928365468978874,0.99990251064300539,0.75546310400962824,0.79751482944488361]
[null,null,"RRtotal",null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"$E$142","v":"Se(D-)"},null,0.60033636607723873,0.61054646645806787,null,0.79682282542668292,null,0.98943964329858747,0.99975130585559102,0.67286228604784104,0.79650465960781036]
[null,null,"ORsys",null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"$G$142","v":"Sp(D+)"},null,0.95002967417240136,0.95144239753484716,null,0.97533101141452783,null,0.9988394552469253,0.99998892843723297,0.96279571026563648,0.9751887141942992]
[null,null,"ORtotal",null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"$I$142","v":"Sp(D-)"},null,0.95000669956207273,0.95144391179084775,null,0.97521444559097292,null,0.99866264760494239,0.99994540214538574,0.97845720282197002,0.97530730233192386]
[]
[]
[]
[]
[]
[null,null,null,null,null,null,null,null,null,null,{"$f":"IF(LEFT($S$12,9)=\"Correlate\",\"Correlation coefficient between \" & $C$142 & \" and \" & $E$142,\"\")","v":""},{"$f":"IF($K$122<>\"\",CORREL($C$143:$C$100142,$E$143:$E$100142),\"\")","v":""},null,null,null,null,null,true]
[null,null,null,null,null,null,null,null,null,null,{"$f":"IF(LEFT($S$13,9)=\"Correlate\",\"Correlation coefficient between \" & $C$142 & \" and \" & $G$142,\"\")","v":""},{"$f":"IF($K$123<>\"\",CORREL($C$143:$C$100142,$G$143:$G$100142),\"\")","v":""}]
[null,null,null,null,null,null,null,null,null,null,{"$f":"IF(LEFT($S$14,9)=\"Correlate\",\"Correlation coefficient between \" & CHOOSE(VALUE(RIGHT($S$14,1)),$C$142,$E$142,$G$142) & \" and \" & $I$142,\"\")","v":""},{"$f":"IF($K$124<>\"\",CORREL(CHOOSE(VALUE(RIGHT($S$14,1)),$C$143:$C$100142,$E$143:$E$100142,$G$143:$G$100142),$I$143:$I$100142),\"\")","v":""}]
[]
[null,"Notes"]
[]
[]
[]
[]
[]
[null,"Equations"]
[null,"a=Ac1+Ac0","b=Bc1+Bc0",null,null,"Ac1=[Ac1-(1-Sp1)・a]/[Se1-(1-Sp1)]",null,null,null,null,null,"Bc1=[Bc1-(1-Sp1)・b]/[Se1-(1-Sp1)]",null,null,null,null,null,null,"Ac0=a-Ac1",null,"Bc0=b-Bc1"]
[null,"c=Cc1+Cc0","d=Dc1+Dc0",null,null,"Cc1=[Cc1-(1-Sp0)・c]/[Se0-(1-Sp0)]",null,null,null,null,null,"Dc1=[Dc1-(1-Sp0)・d]/[Se0-(1-Sp0)]",null,null,null,null,null,null,"Cc0=c-Cc1",null,"Dc0=d-Dc1"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"COUNT($M143:$M100142)=0","v":true}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"IF(Illegal=0,\"\",MAX_MIN(1,$C143:$C100142,$B143:$B100142,IF($AD135,0,4)))","v":0},{"$f":"IF(Illegal=0,\"\",MAX_MIN(2,$C143:$C100142,$B143:$B100142,IF($AD$135,0,4)))","v":0}]
[null,null,{"$f":"IF(OR(LEFT($S$11,3)=\"Log\",LEFT($S$11,5)=\"expit\",LEFT($S$12,3)=\"Log\",LEFT($S$12,5)=\"expit\",AND(MIN(C143:C100142,E143:E100142)>0,IFERROR(MAX(C143:C100142,E143:E100142)/MEDIAN(C143:C100142,E143:E100142),0)>10)),\"対数\",\"\")","v":""},null,null,null,{"$f":"IF(OR(LEFT($S$13,3)=\"Log\",LEFT($S$13,5)=\"expit\",LEFT($S$14,3)=\"Log\",LEFT($S$14,5)=\"expit\",AND(MIN(G143:G100142,I143:I100142)>0,IFERROR(MAX(G143:G100142,I143:I100142)/MEDIAN(G143:G100142,I143:I100142),0)>10)),\"対数\",\"\")","v":""},null,null,null,null,null,{"$f":"IF(AND(MIN(M143:M100142)>0,IFERROR(MAX(M143:M100142)/MEDIAN(M143:M100142),0)>10),\"対数\",\"\")","v":""},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"IF(Illegal=0,\"\",MAX_MIN(1,$E143:$E100142,$B143:$B100142,IF($AD$135,0,4)))","v":0},{"$f":"IF(Illegal=0,\"\",MAX_MIN(2,$E143:$E100142,$B143:$B100142,IF($AD$135,0,4)))","v":0}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"MIN(C143:C100142,E143:E100142)","v":0},{"$f":"MAX(C143:C100142,E143:E100142)","v":0},{"$f":"IF($C$137=\"対数\",(LOG10(V138)-LOG10(U138))/20,(V138-U138)/20)","v":0},null,{"$f":"MIN(G143:G100142,I143:I100142)","v":0},{"$f":"MAX(H143:H100142,J143:J100142)","v":0},{"$f":"IF($G$137=\"対数\",(LOG10(Z138)-LOG10(Y138))/20,(Z138-Y138)/20)","v":0},1,"両方",{"$f":"IF(Illegal=0,\"\",MAX_MIN(1,$G143:$G100142,$B143:$B100142,IF($AD$135,0,4)))","v":0},{"$f":"IF(Illegal=0,\"\",MAX_MIN(2,$G143:$G100142,$B143:$B100142,IF($AD$135,0,4)))","v":0}]
[null,null,{"$f":"C142 & \", \" & E142","v":"Se(D+), Se(D-)"},null,null,null,{"$f":"G142 & \", \" & I142","v":"Sp(D+), Sp(D-)"},null,null,{"$f":"ROUNDDOWN(U138,2)-(K139-ROUNDDOWN(U138,2))","v":0},{"$f":"ROUNDUP(V138,2)","v":0},{"$f":"ROUNDDOWN(Y138,2)","v":0},{"$f":"ROUNDUP(Z138,2)+(ROUNDUP(Z138,2)-L139)","v":0},{"$f":"ROUNDDOWN(MIN(M143:M542),-1*LOG(MIN(M143:M542))+1)","v":{"$error":"#NUM!"}},{"$f":"ROUNDUP(MAX(M143:M542),2)","v":0},null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"IF($M$137=\"対数\",(LOG10(AB141)-LOG10(AB140))/22,(AB141-AB140)/22)","v":0},"RR",{"$f":"IF(Illegal=0,\"\",MAX_MIN(1,$I143:$I100142,$B143:$B100142,IF($AD$135,0,4)))","v":0},{"$f":"IF(Illegal=0,\"\",MAX_MIN(2,$I143:$I100142,$B143:$B100142,IF($AD$135,0,4)))","v":0}]
[null,null,"Single Iteration",null,null,null,null,null,null,null,1,0.1,{"$f":"COUNTIF(M143:M100143,\"<\" & (K140+L140))-COUNTIF(M143:M100143,\"<\" & (K140-L140))","v":0},null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"MAX(V143:W165)","v":0},{"$f":"IF($M$137=\"対数\",IF(AB138=2,MIN(K143:K100142),IF(AB138=3,MIN(M143:M100142),MIN(K143:K100142,M143:M100142))),IF(AB138=2,MIN(K143:K100142),IF(AB138=3,MIN(M143:M100142),MIN(K143:K100142,M143:M100142))))","v":0},"OR"]
[null,null,"Chosen Bias Parameters",null,null,null,null,null,null,null,"Syst Error",null,null,null," + Rand Error",null,null,null,null,null,"Histogram",null,null,null,null,null,{"$f":"MAX(Z143:AA165)","v":0},{"$f":"IF($M$137=\"対数\",ROUNDUP(IF(AB138=2,_xlfn.PERCENTILE.INC(K143:K100142,0.95),IF(AB138=3,_xlfn.PERCENTILE.INC(M143:M100142,0.95),_xlfn.PERCENTILE.INC((K143:K100142,M143:M100142),0.95))),2),ROUNDUP(IF(AB138=2,MAX(K143:K100142),IF(AB138=3,MAX(M143:M100142),MAX(K143:K100142,M143:M100142))),2))","v":0},null,{"$f":"IF(AND(COUNT(C143:I143)>3,Illegal>0),CONCATENATE(\"Exclude error data \",CHAR(13),V142,\"：\",ROUND(AD136,3),\"～\",ROUND(AE136,3),CHAR(13),W142,\"：\",ROUND(AD137,3),\"～\",ROUND(AE137,3),CHAR(13),Z142,\"：\",ROUND(AD138,3),\"～\",ROUND(AE138,3),CHAR(13),AA142,\"：\",ROUND($AD$139,3),\"～\",ROUND(AE139,3)),\"\")","v":""}]
[null,null,{"$f":"$E$9 & \"(D+)\"","v":"Se(D+)"},null,{"$f":"$E$9 & \"(D-)\"","v":"Se(D-)"},null,{"$f":"$F$9 & \"(D+)\"","v":"Sp(D+)"},null,{"$f":"$F$9 & \"(D-)\"","v":"Sp(D-)"},null,"SMRRR",null,"SMROR",null,{"$f":"K142","v":"SMRRR"},null,{"$f":"M142","v":"SMROR"},null,null,null,"Bins for Graphs",{"$f":"C142","v":"Se(D+)"},{"$f":"E142","v":"Se(D-)"},null,null,{"$f":"G142","v":"Sp(D+)"},{"$f":"I142","v":"Sp(D-)"},null,{"$f":"K141 & \" \" & K142","v":"Syst Error SMRRR"},{"$f":"K141 & \" \" & M142","v":"Syst Error SMROR"}]
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[null,"Exposure",null,null,{"$f":"IF(S12,INDIRECT(T12 & \"!C\"&W12+1,TRUE),IF(S13,INDIRECT(T13 & \"!C\"&W13+1,TRUE),IF(S14,INDIRECT(T14 & \"!C\"&W14+1,TRUE),IF(S15,INDIRECT(T15 & \"!C\"&W15+1,TRUE),IF(S16,INDIRECT(T16 & \"!C\"&W16+1,TRUE),IF(S17,INDIRECT(T17 & \"!\"&V17&W17+1,TRUE),\"－\"))))))","v":"－"},null,null,null,{"$f":"E6 & \"+\"","v":"+"},null,{"$f":"IF(S12,INDIRECT(T12 & \"!C\"&X12,TRUE),IF(S13,INDIRECT(T13 & \"!C\"&X13,TRUE),IF(S14,INDIRECT(T14 & \"!C\"&X14,TRUE),IF(S15,INDIRECT(T15 & \"!C\"&X15,TRUE),IF(S16,INDIRECT(T16 & \"!C\"&X16,TRUE),IF(S17,INDIRECT(T17 & \"!C\"&X17,TRUE),\"\"))))))","v":""},{"$f":"IF(S12,INDIRECT(T12 & \"!F\"&X12,TRUE),IF(S13,INDIRECT(T13 & \"!F\"&X13,TRUE),IF(S14,INDIRECT(T14 & \"!F\"&X14,TRUE),IF(S15,INDIRECT(T15 & \"!F\"&X15,TRUE),IF(S16,INDIRECT(T16 & \"!F\"&X16,TRUE),IF(S17,INDIRECT(T17 & \"!F\"&X17,TRUE),\"\"))))))","v":""},null,null,null,null,"DIGIT",{"$f":"IF(MIN(H12:H35)=0,2,ROUNDUP(LOG(MIN(H12:H35)*-1),0))","v":2}]
[null,"Unmeasured Confounder",null,null,{"$f":"IF(S12,INDIRECT(T12 & \"!C\"&W12+2,TRUE),IF(S13,INDIRECT(T13 & \"!C\"&W13+2,TRUE),\"－\"))","v":"－"},null,null,null,{"$f":"E6 & \"-\"","v":"-"},null,{"$f":"IF(S12,INDIRECT(T12 & \"!C\"&X12+2,TRUE),IF(S13,INDIRECT(T13 & \"!C\"&X13+2,TRUE),IF(S14,INDIRECT(T14 & \"!C\"&X14+2,TRUE),IF(S15,INDIRECT(T15 & \"!C\"&X15+2,TRUE),IF(S16,INDIRECT(T16 & \"!C\"&X16+2,TRUE),IF(S17,INDIRECT(T17 & \"!C\"&X17+2,TRUE),\"\"))))))","v":""},{"$f":"IF(S12,INDIRECT(T12 & \"!F\"&X12+2,TRUE),IF(S13,INDIRECT(T13 & \"!F\"&X13+2,TRUE),IF(S14,INDIRECT(T14 & \"!F\"&X14+2,TRUE),IF(S15,INDIRECT(T15 & \"!F\"&X15+2,TRUE),IF(S16,INDIRECT(T16 & \"!F\"&X16+2,TRUE),IF(S17,INDIRECT(T17 & \"!F\"&X17+2,TRUE),\"\"))))))","v":""},null,null,null,null,null,null,1]
[null,"Confounder",null,null,{"$f":"IF(S17,INDIRECT(T17 & \"!\"&V17&W17+2,TRUE),\"－\")","v":"－"},null,null,null,null,null,{"$f":"IF(S12,INDIRECT(T12 & \"!C\"&X12+4,TRUE),IF(S13,INDIRECT(T13 & \"!C\"&X13+4,TRUE),IF(S14,INDIRECT(T14 & \"!C\"&X14+4,TRUE),IF(S15,INDIRECT(T15 & \"!C\"&X15+4,TRUE),IF(S16,INDIRECT(T16 & \"!C\"&X16+4,TRUE),IF(S17,INDIRECT(T17 & \"!C\"&X17+4,TRUE),\"\"))))))","v":""},{"$f":"IF(S12,INDIRECT(T12 & \"!F\"&X12+4,TRUE),IF(S13,INDIRECT(T13 & \"!F\"&X13+4,TRUE),IF(S14,INDIRECT(T14 & \"!F\"&X14+4,TRUE),IF(S15,INDIRECT(T15 & \"!F\"&X15+4,TRUE),IF(S16,INDIRECT(T16 & \"!F\"&X16+4,TRUE),IF(S17,INDIRECT(T17 & \"!F\"&X17+4,TRUE),\"\"))))))","v":""},{"$f":"IF(SUM(OBS_TBL)>0,SUM(OBS_TBL),\"\")","v":""}]
[]
[null,"↓ SELECT COMBINED ORDER",null,null,"Bias Parameters",null,null,"Min/Mean","Mode1/α","Mode2/β","Max/SD","ρ","Distribution"]
[null,null,"UNMEASURED CONFOUNDING without effect modification",null,{"$f":"UnmeasuredConfound!H11 & UnmeasuredConfound!I11","v":"p(C+|E+)"},null,null,{"$f":"IF(UnmeasuredConfound!M11<>\"\",UnmeasuredConfound!M11,\"\")","v":""},{"$f":"IF(AND(UnmeasuredConfound!$S11<>\"Uniform\",UnmeasuredConfound!$S11<>\"Log-normal\",UnmeasuredConfound!$S11<>\"ORec\",LEFT(UnmeasuredConfound!$S11,9)<>\"Correlate\",UnmeasuredConfound!Q11<>\"\",UnmeasuredConfound!Q11<>\"\"),ROUND(UnmeasuredConfound!Q11,R7),\"\")","v":""},{"$f":"IF(AND(OR(UnmeasuredConfound!$S11=\"Trapezoidal\",UnmeasuredConfound!$S11=\"Beta\",UnmeasuredConfound!$S11=\"expit(logit)\"),UnmeasuredConfound!R11<>\"\"),UnmeasuredConfound!R11,\"\")","v":""},{"$f":"IF(UnmeasuredConfound!P11<>\"\",UnmeasuredConfound!P11,\"\")","v":""},{"$f":"IF(LEFT(UnmeasuredConfound!$S11,9)=\"Correlate\",UnmeasuredConfound!V11,\"\")","v":""},{"$f":"IF(UnmeasuredConfound!S11<>\"\",IF(RIGHT(UnmeasuredConfound!S11,7)=\"+Normal\",INDEX(Q12:Q14,VALUE(MID(UnmeasuredConfound!S11,3,1))) & \"+Normal\",UnmeasuredConfound!S11),\"\")","v":""},null,null,null,{"$f":"IF(L13=1,\"p(C+)\",\"p(C+|E+)\")","v":"p(C+|E+)"},{"$f":"IF($B$12<>\"\",IF(M12=\"Expression\",CONCATENATE(Q12,\"～\",UnmeasuredConfound!X11,CHAR(13) & CHAR(10)),CONCATENATE(Q12,\"～\",M12,\"(\",ROUND(H12,$R$2),IF(M12=\"ORec\",\",p(C+|E+)\",IF(I12<>\"\",\",\" & ROUND(I12,$R$2),\"\")),IF(J12<>\"\",\",\" & ROUND(J12,$R$2),\"\"),IF(K12<>\"\",\",\" & ROUND(K12,$R$2),\"\"),IF(L12<>\"\",\",\" & ROUND(L12,$R$2),\"\"),\"),\",CHAR(13) & CHAR(10))),\"\")","v":""},{"$f":"IF(B12<>\"\",TRUE,FALSE)","v":false},"UnmeasuredConfound",40,"C",11,19]
[null,null,null,null,{"$f":"UnmeasuredConfound!H12 & UnmeasuredConfound!I12","v":"p(C+|E-)"},null,null,{"$f":"IF(UnmeasuredConfound!M12<>\"\",UnmeasuredConfound!M12,\"\")","v":""},{"$f":"IF(AND(UnmeasuredConfound!$S12<>\"Uniform\",UnmeasuredConfound!$S12<>\"Log-normal\",UnmeasuredConfound!$S12<>\"ORec\",LEFT(UnmeasuredConfound!$S12,9)<>\"Correlate\",UnmeasuredConfound!Q12<>\"\",UnmeasuredConfound!Q12<>\"\"),ROUND(UnmeasuredConfound!Q12,R8),\"\")","v":""},{"$f":"IF(AND(OR(UnmeasuredConfound!$S12=\"Trapezoidal\",UnmeasuredConfound!$S12=\"Beta\",UnmeasuredConfound!$S12=\"expit(logit)\"),UnmeasuredConfound!R12<>\"\"),UnmeasuredConfound!R12,\"\")","v":""},{"$f":"IF(UnmeasuredConfound!P12<>\"\",UnmeasuredConfound!P12,\"\")","v":""},{"$f":"IF(LEFT(UnmeasuredConfound!$S12,9)=\"Correlate\",UnmeasuredConfound!V12,\"\")","v":""},{"$f":"IF(UnmeasuredConfound!S12<>\"\",IF(LEFT(UnmeasuredConfound!S12,9)=\"Correlate\",\"Correlate with \" & INDEX(Q12:Q14,VALUE(RIGHT(UnmeasuredConfound!S12,1))),UnmeasuredConfound!S12),\"\")","v":""},null,null,null,{"$f":"IF(L13=1,\"\",\"p(C+|E-)\")","v":"p(C+|E-)"},{"$f":"IF(AND($B$12<>\"\",L13<>1),IF(M13=\"Expression\",CONCATENATE(Q13,\"～\",UnmeasuredConfound!X12,CHAR(13) & CHAR(10)),CONCATENATE(Q13,\"～\",M13,\"(\",ROUND(H13,$R$2),IF(I13<>\"\",\",\" & ROUND(I13,$R$2),\"\"),IF(J13<>\"\",\",\" & ROUND(J13,$R$2),\"\"),IF(K13<>\"\",\",\" & ROUND(K13,$R$2),\"\"),IF(L13<>\"\",\",\" & ROUND(L13,$R$2),\"\"),\"),\",CHAR(13) & CHAR(10))),\"\")","v":""},{"$f":"IF(B15<>\"\",TRUE,FALSE)","v":false},"UnmeasuredConfound_EMM",42,"C",11,21]
[null,null,null,null,{"$f":"UnmeasuredConfound!H13 & UnmeasuredConfound!I13","v":"(CD)"},null,null,{"$f":"IF(UnmeasuredConfound!M13<>\"\",UnmeasuredConfound!M13,\"\")","v":""},{"$f":"IF(AND(UnmeasuredConfound!$S13<>\"Uniform\",UnmeasuredConfound!$S13<>\"Log-normal\",UnmeasuredConfound!$S13<>\"ORec\",LEFT(UnmeasuredConfound!$S13,9)<>\"Correlate\",UnmeasuredConfound!Q13<>\"\",UnmeasuredConfound!Q13<>\"\"),ROUND(UnmeasuredConfound!Q13,R9),\"\")","v":""},{"$f":"IF(AND(OR(UnmeasuredConfound!$S13=\"Trapezoidal\",UnmeasuredConfound!$S13=\"Beta\",UnmeasuredConfound!$S13=\"expit(logit)\"),UnmeasuredConfound!R13<>\"\"),UnmeasuredConfound!R13,\"\")","v":""},{"$f":"IF(UnmeasuredConfound!P13<>\"\",UnmeasuredConfound!P13,\"\")","v":""},{"$f":"IF(LEFT(UnmeasuredConfound!$S13,9)=\"Correlate\",UnmeasuredConfound!V13,\"\")","v":""},{"$f":"IF(UnmeasuredConfound!S13<>\"\",IF(LEFT(UnmeasuredConfound!S13,9)=\"Correlate\",\"Correlate with \" & INDEX(Q12:Q14,VALUE(RIGHT(UnmeasuredConfound!S13,1))),UnmeasuredConfound!S13),\"\")","v":""},null,null,null,"OR(C-E)",{"$f":"IF($B$12<>\"\",IF(M14=\"Expression\",CONCATENATE(Q14,\"～\",UnmeasuredConfound!X13,CHAR(13) & CHAR(10)),CONCATENATE(Q14,\"～\",M14,\"(\",ROUND(H14,$R$2),IF(I14<>\"\",\",\" & ROUND(I14,$R$2),\"\"),IF(J14<>\"\",\",\" & ROUND(J14,$R$2),\"\"),IF(K14<>\"\",\",\" & ROUND(K14,$R$2),\"\"),IF(L14<>\"\",\",\" & ROUND(L14,$R$2),\"\"),\"),\",CHAR(13) & CHAR(10))),\"\")","v":""},{"$f":"IF(B19<>\"\",TRUE,FALSE)","v":false},"Selection_Bias",44,"C",11,21]
[null,null,{"$f":"IF(AND(LEFT(UnmeasuredConfound_EMM!$S$14,9)=\"Correlate\",UnmeasuredConfound_EMM!$V$14=1),C12,\"UNMEASURED CONFOUNDING with effect modification\")","v":"UNMEASURED CONFOUNDING with effect modification"},null,{"$f":"UnmeasuredConfound_EMM!H11 & UnmeasuredConfound_EMM!I11","v":"p(C+|E+)"},null,null,{"$f":"IF(UnmeasuredConfound_EMM!M11<>\"\",UnmeasuredConfound_EMM!M11,\"\")","v":""},{"$f":"IF(AND(UnmeasuredConfound_EMM!$S11<>\"Uniform\",UnmeasuredConfound_EMM!$S11<>\"Log-normal\",UnmeasuredConfound_EMM!$S11<>\"ORec\",UnmeasuredConfound_EMM!Q11<>\"\",UnmeasuredConfound_EMM!Q11<>\"\"),ROUND(UnmeasuredConfound_EMM!Q11,R7),\"\")","v":""},{"$f":"IF(AND(OR(UnmeasuredConfound_EMM!$S11=\"Trapezoidal\",UnmeasuredConfound_EMM!$S11=\"Beta\",LEFT(UnmeasuredConfound_EMM!$S11,9)=\"Correlate\",UnmeasuredConfound_EMM!$S11=\"expit(logit)\"),UnmeasuredConfound_EMM!R11<>\"\"),UnmeasuredConfound_EMM!R11,\"\")","v":""},{"$f":"IF(UnmeasuredConfound_EMM!P11<>\"\",UnmeasuredConfound_EMM!P11,\"\")","v":""},{"$f":"IF(LEFT(UnmeasuredConfound_EMM!$S11,9)=\"Correlate\",UnmeasuredConfound_EMM!V11,\"\")","v":""},{"$f":"IF(UnmeasuredConfound_EMM!S11<>\"\",IF(RIGHT(UnmeasuredConfound_EMM!S11,7)=\"+Normal\",INDEX(Q15:Q18,VALUE(MID(UnmeasuredConfound_EMM!S11,3,1))) & \"+Normal\",UnmeasuredConfound_EMM!S11),\"\")","v":""},null,null,null,{"$f":"IF(LEFT(E15,1)=\"p\",IF(L16=1,\"p(C+)\",\"p(C+|E+)\"),\"OR(C-E)\")","v":"p(C+|E+)"},{"$f":"IF($B$15<>\"\",IF(M15=\"Expression\",CONCATENATE(Q15,\"～\",UnmeasuredConfound_EMM!X11),CONCATENATE(Q15,\"～\",M15,\"(\",ROUND(H15,$R$2),IF(M15=\"ORec\",\",p(C+|E+)\",IF(I15<>\"\",\",\" & ROUND(I15,$R$2),\"\")),IF(J15<>\"\",\",\" & ROUND(J15,$R$2),\"\"),IF(K15<>\"\",\",\" & ROUND(K15,$R$2),\"\"),IF(L15<>\"\",\",\" & ROUND(L15,$R$2),\"\"),\"),\",CHAR(13),CHAR(10))),\"\")","v":""},{"$f":"IF(B24<>\"\",TRUE,FALSE)","v":false},"Exposure_Misc",46,"C",12,21]
[null,null,null,null,{"$f":"UnmeasuredConfound_EMM!H12 & UnmeasuredConfound_EMM!I12","v":"p(C+|E-)"},null,null,{"$f":"IF(UnmeasuredConfound_EMM!M12<>\"\",UnmeasuredConfound_EMM!M12,\"\")","v":""},{"$f":"IF(AND(UnmeasuredConfound_EMM!$S12<>\"Uniform\",UnmeasuredConfound_EMM!$S12<>\"Log-normal\",UnmeasuredConfound_EMM!$S12<>\"ORec\",UnmeasuredConfound_EMM!Q12<>\"\",UnmeasuredConfound_EMM!Q12<>\"\"),ROUND(UnmeasuredConfound_EMM!Q12,R8),\"\")","v":""},{"$f":"IF(AND(OR(UnmeasuredConfound_EMM!$S12=\"Trapezoidal\",UnmeasuredConfound_EMM!$S12=\"Beta\",LEFT(UnmeasuredConfound_EMM!$S12,9)=\"Correlate\",UnmeasuredConfound_EMM!$S12=\"expit(logit)\"),UnmeasuredConfound_EMM!R12<>\"\"),UnmeasuredConfound_EMM!R12,\"\")","v":""},{"$f":"IF(UnmeasuredConfound_EMM!P12<>\"\",UnmeasuredConfound_EMM!P12,\"\")","v":""},{"$f":"IF(LEFT(UnmeasuredConfound_EMM!$S12,9)=\"Correlate\",UnmeasuredConfound_EMM!V12,\"\")","v":""},{"$f":"IF(UnmeasuredConfound_EMM!S12<>\"\",IF(LEFT(UnmeasuredConfound_EMM!S12,9)=\"Correlate\",\"Correlate with \" & INDEX(Q15:Q18,VALUE(RIGHT(UnmeasuredConfound_EMM!S12,1))),UnmeasuredConfound_EMM!S12),\"\")","v":""},null,null,null,{"$f":"IF(L16=1,\"\",\"p(C+|E+)\")","v":"p(C+|E+)"},{"$f":"IF(AND($B$15<>\"\",L16<>1),IF(M16=\"Expression\",CONCATENATE(Q16,\"～\",UnmeasuredConfound_EMM!X12),CONCATENATE(Q16,\"～\",M16,\"(\",ROUND(H16,$R$2),IF(I16<>\"\",\",\" & ROUND(I16,$R$2),\"\"),IF(J16<>\"\",\",\" & ROUND(J16,$R$2),\"\"),IF(K16<>\"\",\",\" & ROUND(K16,$R$2),\"\"),IF(L16<>\"\",\",\" & ROUND(L16,$R$2),\"\"),\"),\",CHAR(13),CHAR(10))),\"\")","v":""},{"$f":"IF(B28<>\"\",TRUE,FALSE)","v":false},"Outcome_Misc",48,"C",12,21]
[null,null,null,null,{"$f":"UnmeasuredConfound_EMM!H13 & IF(L18=1,LEFT(UnmeasuredConfound_EMM!I13,LEN(UnmeasuredConfound_EMM!I13)-4) & \")\",UnmeasuredConfound_EMM!I13)","v":"(CD|E+)"},null,null,{"$f":"IF(UnmeasuredConfound_EMM!M13<>\"\",UnmeasuredConfound_EMM!M13,\"\")","v":""},{"$f":"IF(AND(UnmeasuredConfound_EMM!$S13<>\"Uniform\",UnmeasuredConfound_EMM!$S13<>\"Log-normal\",UnmeasuredConfound_EMM!$S13<>\"ORec\",UnmeasuredConfound_EMM!Q13<>\"\",UnmeasuredConfound_EMM!Q13<>\"\"),ROUND(UnmeasuredConfound_EMM!Q13,R9),\"\")","v":""},{"$f":"IF(AND(OR(UnmeasuredConfound_EMM!$S13=\"Trapezoidal\",UnmeasuredConfound_EMM!$S13=\"Beta\",LEFT(UnmeasuredConfound_EMM!$S13,9)=\"Correlate\",UnmeasuredConfound_EMM!$S13=\"expit(logit)\"),UnmeasuredConfound_EMM!R13<>\"\"),UnmeasuredConfound_EMM!R13,\"\")","v":""},{"$f":"IF(UnmeasuredConfound_EMM!P13<>\"\",UnmeasuredConfound_EMM!P13,\"\")","v":""},{"$f":"IF(LEFT(UnmeasuredConfound_EMM!$S13,9)=\"Correlate\",UnmeasuredConfound_EMM!V13,\"\")","v":""},{"$f":"IF(UnmeasuredConfound_EMM!S13<>\"\",IF(LEFT(UnmeasuredConfound_EMM!S13,9)=\"Correlate\",\"Correlate with \" & INDEX(Q15:Q18,VALUE(RIGHT(UnmeasuredConfound_EMM!S13,1))),IF(RIGHT(UnmeasuredConfound_EMM!S13,7)=\"+Normal\",INDEX(Q15:Q18,VALUE(MID(UnmeasuredConfound_EMM!S13,3,1))) & \"+Normal\",UnmeasuredConfound_EMM!S13)),\"\")","v":""},null,null,null,{"$f":"CONCATENATE(LEFT(E17,2),IF(L18=1,\"(C-D)\",\"(C-D|E+)\"))","v":"(C(C-D|E+)"},{"$f":"IF($B$15<>\"\",IF(M17=\"Expression\",CONCATENATE(Q17,\"～\",UnmeasuredConfound_EMM!X13),CONCATENATE(Q17,\"～\",M17,\"(\",ROUND(H17,$R$2),IF(I17<>\"\",\",\" & ROUND(I17,$R$2),\"\"),IF(J17<>\"\",\",\" & ROUND(J17,$R$2),\"\"),IF(K17<>\"\",\",\" & ROUND(K17,$R$2),\"\"),IF(L17<>\"\",\",\" & ROUND(L17,$R$2),\"\"),\"),\",CHAR(13),CHAR(10))),\"\")","v":""},{"$f":"IF(B32<>\"\",TRUE,FALSE)","v":false},"Confounder_Misc",50,"D",11,20]
[null,null,null,null,{"$f":"UnmeasuredConfound_EMM!H14 & UnmeasuredConfound_EMM!I14","v":"(CD|E-)"},null,null,{"$f":"IF(UnmeasuredConfound_EMM!M14<>\"\",UnmeasuredConfound_EMM!M14,\"\")","v":""},{"$f":"IF(AND(UnmeasuredConfound_EMM!$S14<>\"Uniform\",UnmeasuredConfound_EMM!$S14<>\"Log-normal\",UnmeasuredConfound_EMM!$S14<>\"ORec\",UnmeasuredConfound_EMM!Q14<>\"\",UnmeasuredConfound_EMM!Q14<>\"\"),ROUND(UnmeasuredConfound_EMM!Q14,R10),\"\")","v":""},{"$f":"IF(AND(OR(UnmeasuredConfound_EMM!$S14=\"Trapezoidal\",UnmeasuredConfound_EMM!$S14=\"Beta\",LEFT(UnmeasuredConfound_EMM!$S14,9)=\"Correlate\",UnmeasuredConfound_EMM!$S14=\"expit(logit)\"),UnmeasuredConfound_EMM!R14<>\"\"),UnmeasuredConfound_EMM!R14,\"\")","v":""},{"$f":"IF(UnmeasuredConfound_EMM!P14<>\"\",UnmeasuredConfound_EMM!P14,\"\")","v":""},{"$f":"IF(LEFT(UnmeasuredConfound_EMM!$S14,9)=\"Correlate\",UnmeasuredConfound_EMM!V14,\"\")","v":""},{"$f":"IF(UnmeasuredConfound_EMM!S14<>\"\",IF(LEFT(UnmeasuredConfound_EMM!S14,9)=\"Correlate\",\"Correlate with \" & INDEX(Q15:Q18,VALUE(RIGHT(UnmeasuredConfound_EMM!S14,1))),UnmeasuredConfound_EMM!S14),\"\")","v":""},null,null,null,{"$f":"IF(L18=1,\"\",CONCATENATE(LEFT(E18,2),\"(C-d|E+)\"))","v":"(C(C-d|E+)"},{"$f":"IF(AND($B$15<>\"\",L18<>1),IF(M18=\"Expression\",CONCATENATE(Q18,\"～\",UnmeasuredConfound_EMM!X14),CONCATENATE(Q18,\"～\",M18,\"(\",ROUND(H18,$R$2),IF(I18<>\"\",\",\" & ROUND(I18,$R$2),\"\"),IF(J18<>\"\",\",\" & ROUND(J18,$R$2),\"\"),IF(K18<>\"\",\",\" & ROUND(K18,$R$2),\"\"),IF(L18<>\"\",\",\" & ROUND(L18,$R$2),\"\"),\"),\",CHAR(13),CHAR(10))),\"\")","v":""}]
[null,null,"SELECTION BIAS",null,{"$f":"Selection_Bias!F11","v":"S(D+|E+)"},null,null,{"$f":"Selection_Bias!K11","v":0},{"$f":"IF(AND(Selection_Bias!$Q11<>\"Uniform\",Selection_Bias!$Q11<>\"Log-normal\",Selection_Bias!O11<>\"\"),ROUND(Selection_Bias!O11,R7),\"\")","v":""},{"$f":"IF(AND(OR(Selection_Bias!$Q11=\"Trapezoidal\",Selection_Bias!$Q11=\"Beta\",LEFT(Selection_Bias!$Q11,9)=\"Correlate\",Selection_Bias!$Q11=\"expit(logit)\"),Selection_Bias!P11<>\"\"),Selection_Bias!P11,\"\")","v":""},{"$f":"IF(Selection_Bias!N11<>\"\",Selection_Bias!N11,\"\")","v":""},{"$f":"IF(LEFT(Selection_Bias!$Q11,9)=\"Correlate\",Selection_Bias!T11,\"\")","v":""},{"$f":"IF(Selection_Bias!Q11<>\"\",IF(RIGHT(Selection_Bias!Q11,7)=\"+Normal\",INDEX(Q19:Q22,VALUE(MID(Selection_Bias!Q11,3,1))) & \"+Normal\",Selection_Bias!Q11),\"\")","v":""},null,null,null,"S(D+|E+)",{"$f":"IF($E$23,\"\",IF($B$19<>\"\",IF(M19=\"Expression\",CONCATENATE(Q19,\"～\",Selection_Bias!X11),CONCATENATE(Q19,\"～\",M19,\"(\",ROUND(H19,$R$2),IF(I19<>\"\",\",\" & ROUND(I19,$R$2),\"\"),IF(J19<>\"\",\",\" & ROUND(J19,$R$2),\"\"),IF(K19<>\"\",\",\" & ROUND(K19,$R$2),\"\"),IF(L19<>\"\",\",\" & ROUND(L19,$R$2),\"\"),\"),\",CHAR(13),CHAR(10))),\"\"))","v":""},{"$f":"IF(ISNA(MATCH(1,$T$19:$T$24,0)),1,\"\")","v":1},{"$f":"B12","v":0},{"$f":"MATCH(1,$T$19:$T$24,0)","v":{"$error":"#N/A"}},{"$f":"IF(ISNA(U19),\"\",CHOOSE(U19,$B$59,$B$61,$B$63,$B$65,$B$67,$B$69))","v":""}]
[null,null,null,null,{"$f":"Selection_Bias!F12","v":"S(D+|E-)"},null,null,{"$f":"Selection_Bias!K12","v":0},{"$f":"IF(AND(Selection_Bias!$Q12<>\"Uniform\",Selection_Bias!$Q12<>\"Log-normal\",Selection_Bias!O12<>\"\"),ROUND(Selection_Bias!O12,R8),\"\")","v":""},{"$f":"IF(AND(OR(Selection_Bias!$Q12=\"Trapezoidal\",Selection_Bias!$Q12=\"Beta\",LEFT(Selection_Bias!$Q12,9)=\"Correlate\",Selection_Bias!$Q12=\"expit(logit)\"),Selection_Bias!P12<>\"\"),Selection_Bias!P12,\"\")","v":""},{"$f":"IF(Selection_Bias!N12<>\"\",Selection_Bias!N12,\"\")","v":""},{"$f":"IF(LEFT(Selection_Bias!$Q12,9)=\"Correlate\",Selection_Bias!T12,\"\")","v":""},{"$f":"IF(Selection_Bias!Q12<>\"\",IF(LEFT(Selection_Bias!Q12,9)=\"Correlate\",\"Correlate with \" & INDEX(Q19:Q22,VALUE(RIGHT(Selection_Bias!Q12,1))),Selection_Bias!Q12),\"\")","v":""},null,null,null,"S(D+|E-)",{"$f":"IF($E$23,\"\",IF($B$19<>\"\",IF(M20=\"Expression\",CONCATENATE(Q20,\"～\",Selection_Bias!X12),CONCATENATE(Q20,\"～\",M20,\"(\",ROUND(H20,$R$2),IF(I20<>\"\",\",\" & ROUND(I20,$R$2),\"\"),IF(J20<>\"\",\",\" & ROUND(J20,$R$2),\"\"),IF(K20<>\"\",\",\" & ROUND(K20,$R$2),\"\"),IF(L20<>\"\",\",\" & ROUND(L20,$R$2),\"\"),\"),\",CHAR(13),CHAR(10))),\"\"))","v":""},{"$f":"IF(ISNA(MATCH(2,$T$19:$T$24,0)),2,\"\")","v":2},{"$f":"B15","v":0},{"$f":"MATCH(2,$T$19:$T$24,0)","v":{"$error":"#N/A"}},{"$f":"IF(ISNA(U20),\"\", \", \" & CHOOSE(U20,$B$59,$B$61,$B$63,$B$65,$B$67,$B$69) )","v":""}]
[null,null,null,null,{"$f":"Selection_Bias!F13","v":"S(D-|E+)"},null,null,{"$f":"Selection_Bias!K13","v":0},{"$f":"IF(AND(Selection_Bias!$Q13<>\"Uniform\",Selection_Bias!$Q13<>\"Log-normal\",Selection_Bias!O13<>\"\"),ROUND(Selection_Bias!O13,R9),\"\")","v":""},{"$f":"IF(AND(OR(Selection_Bias!$Q13=\"Trapezoidal\",Selection_Bias!$Q13=\"Beta\",LEFT(Selection_Bias!$Q13,9)=\"Correlate\",Selection_Bias!$Q13=\"expit(logit)\"),Selection_Bias!P13<>\"\"),Selection_Bias!P13,\"\")","v":""},{"$f":"IF(Selection_Bias!N13<>\"\",Selection_Bias!N13,\"\")","v":""},{"$f":"IF(LEFT(Selection_Bias!$Q13,9)=\"Correlate\",Selection_Bias!T13,\"\")","v":""},{"$f":"IF(Selection_Bias!Q13<>\"\",IF(LEFT(Selection_Bias!Q13,9)=\"Correlate\",\"Correlate with \" & INDEX(Q19:Q22,VALUE(RIGHT(Selection_Bias!Q13,1))),IF(RIGHT(Selection_Bias!Q13,7)=\"+Normal\",INDEX(Q19:Q22,VALUE(MID(Selection_Bias!Q13,3,1))) & \"+Normal\",Selection_Bias!Q13)),\"\")","v":""},null,null,null,"S(C-|E+)",{"$f":"IF($E$23,\"\",IF($B$19<>\"\",IF(M21=\"Expression\",CONCATENATE(Q21,\"～\",Selection_Bias!X13),CONCATENATE(Q21,\"～\",M21,\"(\",ROUND(H21,$R$2),IF(I21<>\"\",\",\" & ROUND(I21,$R$2),\"\"),IF(J21<>\"\",\",\" & ROUND(J21,$R$2),\"\"),IF(K21<>\"\",\",\" & ROUND(K21,$R$2),\"\"),IF(L21<>\"\",\",\" & ROUND(L21,$R$2),\"\"),\"),\",CHAR(13),CHAR(10))),\"\"))","v":""},{"$f":"IF(ISNA(MATCH(3,$T$19:$T$24,0)),3,\"\")","v":3},{"$f":"B19","v":0},{"$f":"MATCH(3,$T$19:$T$24,0)","v":{"$error":"#N/A"}},{"$f":"IF(ISNA(U21),\"\",\", \" & CHOOSE(U21,$B$59,$B$61,$B$63,$B$65,$B$67,$B$69) )","v":""}]
[null,null,null,null,{"$f":"Selection_Bias!F14","v":"S(D-|E-)"},null,null,{"$f":"Selection_Bias!K14","v":0},{"$f":"IF(AND(Selection_Bias!$Q14<>\"Uniform\",Selection_Bias!$Q14<>\"Log-normal\",Selection_Bias!O14<>\"\"),ROUND(Selection_Bias!O14,R10),\"\")","v":""},{"$f":"IF(AND(OR(Selection_Bias!$Q14=\"Trapezoidal\",Selection_Bias!$Q14=\"Beta\",LEFT(Selection_Bias!$Q14,9)=\"Correlate\",Selection_Bias!$Q14=\"expit(logit)\"),Selection_Bias!P14<>\"\"),Selection_Bias!P14,\"\")","v":""},{"$f":"IF(Selection_Bias!N14<>\"\",Selection_Bias!N14,\"\")","v":""},{"$f":"IF(LEFT(Selection_Bias!$Q14,9)=\"Correlate\",Selection_Bias!T14,\"\")","v":""},{"$f":"IF(Selection_Bias!Q14<>\"\",IF(LEFT(Selection_Bias!Q14,9)=\"Correlate\",\"Correlate with \" & INDEX(Q19:Q22,VALUE(RIGHT(Selection_Bias!Q14,1))),Selection_Bias!Q14),\"\")","v":""},null,null,null,"S(C-|E-)",{"$f":"IF($E$23,\"\",IF($B$19<>\"\",IF(M22=\"Expression\",CONCATENATE(Q22,\"～\",Selection_Bias!X14),CONCATENATE(Q22,\"～\",M22,\"(\",ROUND(H22,$R$2),IF(I22<>\"\",\",\" & ROUND(I22,$R$2),\"\"),IF(J22<>\"\",\",\" & ROUND(J22,$R$2),\"\"),IF(K22<>\"\",\",\" & ROUND(K22,$R$2),\"\"),IF(L22<>\"\",\",\" & ROUND(L22,$R$2),\"\"),\"),\",CHAR(13),CHAR(10))),\"\"))","v":""},{"$f":"IF(ISNA(MATCH(4,$T$19:$T$24,0)),4,\"\")","v":4},{"$f":"B24","v":0},{"$f":"MATCH(4,$T$19:$T$24,0)","v":{"$error":"#N/A"}},{"$f":"IF(ISNA(U22),\"\",\", \" & CHOOSE(U22,$B$59,$B$61,$B$63,$B$65,$B$67,$B$69) )","v":""}]
[null,null,null,null,false,{"$f":"IF(Selection_Bias!K16,\"Use Selection OR\",\"-\")","v":"-"},null,{"$f":"IF(Selection_Bias!K16,Selection_Bias!K15,\"\")","v":""},{"$f":"IF(AND(Selection_Bias!$Q15<>\"Uniform\",Selection_Bias!$Q15<>\"Log-normal\",LEFT(Selection_Bias!$Q15,9)<>\"Correlate\",Selection_Bias!O15<>\"\"),ROUND(Selection_Bias!O15,T11),\"\")","v":""},{"$f":"IF(OR(Selection_Bias!$Q15=\"Trapezoidal\",Selection_Bias!$Q15=\"Beta\",Selection_Bias!$Q15=\"expit(logit)\"),Selection_Bias!P15,\"\")","v":""},{"$f":"IF(Selection_Bias!K16,Selection_Bias!N15,\"\")","v":""},null,{"$f":"IF(AND(Selection_Bias!K16,Selection_Bias!Q15<>\"\"),Selection_Bias!Q15,\"\")","v":""},null,null,null,"Selection OR",{"$f":"IF(AND($B$19<>\"\",E23),IF(M23=\"Expression\",CONCATENATE(Q23,\"～\",Selection_Bias!X15),CONCATENATE(Q23,\"～\",M23,\"(\",ROUND(H23,$R$2),IF(I23<>\"\",\",\" & ROUND(I23,$R$2),\"\"),IF(J23<>\"\",\",\" & ROUND(J23,$R$2),\"\"),IF(K23<>\"\",\",\" & ROUND(K23,$R$2),\"\"),IF(L23<>\"\",\",\" & ROUND(L23,$R$2),\"\"),\")\")),\"\")","v":""},{"$f":"IF(ISNA(MATCH(5,$T$19:$T$24,0)),5,\"\")","v":5},{"$f":"B28","v":0},{"$f":"MATCH(5,$T$19:$T$24,0)","v":{"$error":"#N/A"}},{"$f":"IF(ISNA(U23),\"\",\", \" & CHOOSE(U23,$B$59,$B$61,$B$63,$B$65,$B$67,$B$69) )","v":""}]
[null,null,"EXPOSURE MISCLASSIFICATION ",null,{"$f":"Exposure_Misc!G12","v":"Se (D+)"},null,null,{"$f":"Exposure_Misc!K12","v":0},{"$f":"IF(AND(Exposure_Misc!$Q12<>\"Uniform\",Exposure_Misc!$Q12<>\"Log-normal\",Exposure_Misc!O12<>\"\"),ROUND(Exposure_Misc!O12,R7),\"\")","v":""},{"$f":"IF(AND(OR(Exposure_Misc!$Q12=\"Trapezoidal\",Exposure_Misc!$Q12=\"Beta\",LEFT(Exposure_Misc!$Q12,9)=\"Correlate\",Exposure_Misc!$Q12=\"expit(logit)\"),Exposure_Misc!P12<>\"\"),Exposure_Misc!P12,\"\")","v":""},{"$f":"IF(Exposure_Misc!N12<>\"\",Exposure_Misc!N12,\"\")","v":""},{"$f":"IF(LEFT(Exposure_Misc!$Q12,9)=\"Correlate\",Exposure_Misc!T12,\"\")","v":""},{"$f":"IF(Exposure_Misc!Q12<>\"\",IF(RIGHT(Exposure_Misc!Q12,7)=\"+Normal\",INDEX(Q24:Q27,VALUE(MID(Exposure_Misc!Q12,3,1))) & \"+Normal\",Exposure_Misc!Q12),\"\")","v":""},null,null,null,{"$f":"CONCATENATE(LEFT(E24,2),IF(L25=1,\"(D)\",\"(D+)\"))","v":"Se(D+)"},{"$f":"IF($B$24<>\"\",IF(M24=\"Expression\",CONCATENATE(Q24,\"～\",Exposure_Misc!V12),CONCATENATE(Q24,\"～\",M24,\"(\",ROUND(H24,$R$2),IF(I24<>\"\",\",\" & ROUND(I24,$R$2),\"\"),IF(J24<>\"\",\",\" & ROUND(J24,$R$2),\"\"),IF(K24<>\"\",\",\" & ROUND(K24,$R$2),\"\"),IF(L24<>\"\",\",\" & ROUND(L24,$R$2),\"\"),\")\",CHAR(13),CHAR(10))),\"\")","v":""},{"$f":"IF(ISNA(MATCH(6,$T$19:$T$24,0)),6,\"\")","v":6},{"$f":"B32","v":0},{"$f":"MATCH(6,$T$19:$T$24,0)","v":{"$error":"#N/A"}},{"$f":"IF(ISNA(U24),\"\",\", \" & CHOOSE(U24,$B$59,$B$61,$B$63,$B$65,$B$67,$B$69) )","v":""}]
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[null,null,null,null,{"$f":"Exposure_Misc!G14","v":"Sp (D+)"},null,null,{"$f":"Exposure_Misc!K14","v":0},{"$f":"IF(AND(Exposure_Misc!$Q14<>\"Uniform\",Exposure_Misc!$Q14<>\"Log-normal\",Exposure_Misc!O14<>\"\"),ROUND(Exposure_Misc!O14,R9),\"\")","v":""},{"$f":"IF(AND(OR(Exposure_Misc!$Q14=\"Trapezoidal\",Exposure_Misc!$Q14=\"Beta\",LEFT(Exposure_Misc!$Q14,9)=\"Correlate\",Exposure_Misc!$Q14=\"expit(logit)\"),Exposure_Misc!P14<>\"\"),Exposure_Misc!P14,\"\")","v":""},{"$f":"IF(Exposure_Misc!N14<>\"\",Exposure_Misc!N14,\"\")","v":""},{"$f":"IF(LEFT(Exposure_Misc!$Q14,9)=\"Correlate\",Exposure_Misc!T14,\"\")","v":""},{"$f":"IF(Exposure_Misc!Q14<>\"\",IF(LEFT(Exposure_Misc!Q14,9)=\"Correlate\",\"Correlate with \" & INDEX(Q24:Q27,VALUE(RIGHT(Exposure_Misc!Q14,1))),IF(RIGHT(Exposure_Misc!Q14,7)=\"+Normal\",INDEX(Q24:Q27,VALUE(MID(Exposure_Misc!Q14,3,1))) & \"+Normal\",Exposure_Misc!Q14)),\"\")","v":""},null,null,null,{"$f":"CONCATENATE(LEFT(E26,2),IF(L27=1,\"(D)\",\"(D+)\"))","v":"Sp(D+)"},{"$f":"IF($B$24<>\"\",IF(M26=\"Expression\",CONCATENATE(Q24,\"～\",Exposure_Misc!V14),CONCATENATE(Q26,\"～\",M26,\"(\",ROUND(H26,$R$2),IF(I26<>\"\",\",\" & ROUND(I26,$R$2),\"\"),IF(J26<>\"\",\",\" & ROUND(J26,$R$2),\"\"),IF(K26<>\"\",\",\" & ROUND(K26,$R$2),\"\"),IF(L26<>\"\",\",\" & ROUND(L26,$R$2),\"\"),\")\",CHAR(13),CHAR(10))),\"\")","v":""}]
[null,null,null,null,{"$f":"Exposure_Misc!G15","v":"Sp (D-)"},null,null,{"$f":"Exposure_Misc!K15","v":0},{"$f":"IF(AND(Exposure_Misc!$Q15<>\"Uniform\",Exposure_Misc!$Q15<>\"Log-normal\",Exposure_Misc!O15<>\"\"),ROUND(Exposure_Misc!O15,R10),\"\")","v":""},{"$f":"IF(AND(OR(Exposure_Misc!$Q15=\"Trapezoidal\",Exposure_Misc!$Q15=\"Beta\",LEFT(Exposure_Misc!$Q15,9)=\"Correlate\",Exposure_Misc!$Q15=\"expit(logit)\"),Exposure_Misc!P15<>\"\"),Exposure_Misc!P15,\"\")","v":""},{"$f":"IF(Exposure_Misc!N15<>\"\",Exposure_Misc!N15,\"\")","v":""},{"$f":"IF(LEFT(Exposure_Misc!$Q15,9)=\"Correlate\",Exposure_Misc!T15,\"\")","v":""},{"$f":"IF(Exposure_Misc!Q15<>\"\",IF(LEFT(Exposure_Misc!Q15,9)=\"Correlate\",\"Correlate with \" & INDEX(Q24:Q27,VALUE(RIGHT(Exposure_Misc!Q15,1))),Exposure_Misc!Q15),\"\")","v":""},null,null,null,{"$f":"IF(L27=1,\"\",CONCATENATE(LEFT(E27,2),\"(D-)\"))","v":"Sp(D-)"},{"$f":"IF(AND(L27<>1,$B$24<>\"\"),IF(M27=\"Expression\",CONCATENATE(Q24,\"～\",Exposure_Misc!V15),CONCATENATE(Q27,\"～\",M27,\"(\",ROUND(H27,$R$2),IF(I27<>\"\",\",\" & ROUND(I27,$R$2),\"\"),IF(J27<>\"\",\",\" & ROUND(J27,$R$2),\"\"),IF(K27<>\"\",\",\" & ROUND(K27,$R$2),\"\"),IF(L27<>\"\",\",\" & ROUND(L27,$R$2),\"\"),\")\",CHAR(13),CHAR(10))),\"\")","v":""}]
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[null,{"$f":"IF(COUNTA($B$12:$B$32)>0,CHOOSE(COUNT($B$12:B24)+COUNTIF($B$12:B24,\"NO\")+1,\"\",\"①\",\"②\",\"③\",\"④\",\"⑤\",\"⑥\",\"⑦\",\"⑧\"),\"\")","v":""},{"$f":"IF(B24<>\"\",CONCATENATE(C24,CHAR(13)&CHAR(10),R24,R25,R26,R27),\"-\")","v":"-"}]
[null,null,null,"BIAS COMBINED"]
[null,{"$f":"IF(COUNTA($B$12:$B$32)>0,CHOOSE(COUNT($B$12:B28)+COUNTIF($B$12:B28,\"NO\")+1,\"\",\"①\",\"②\",\"③\",\"④\",\"⑤\",\"⑥\",\"⑦\",\"⑧\"),\"\")","v":""},{"$f":"IF(B28<>\"\",CONCATENATE(C28,CHAR(13)&CHAR(10),R28,R29,R30,R31),\"-\")","v":"-"}]
[null,null,null,"BIAS COMBINED"]
[null,{"$f":"IF(COUNTA($B$12:$B$32)>0,CHOOSE(COUNT($B$12:B32)+COUNTIF($B$12:B32,\"NO\")+1,\"\",\"①\",\"②\",\"③\",\"④\",\"⑤\",\"⑥\",\"⑦\",\"⑧\"),\"\")","v":""},{"$f":"IF(B32<>\"\",CONCATENATE(C32,CHAR(13)&CHAR(10),R32,R33,R34,R35),\"-\")","v":"-"}]
[null,null,null,"BIAS COMBINED"]
[null,null,{"$f":"CONCATENATE(\"BIAS COMBINED in the order \",V25)","v":"BIAS COMBINED in the order "},null,null,null,null,{"$f":"IF(COUNT($I$75:$I$79)>4,_xlfn.PERCENTILE.EXC($I$75:$I$100074,0.5),\"\")","v":""},{"$f":"IF(COUNT($I$75:$I$79)>4,_xlfn.PERCENTILE.EXC($I$75:$I$100074,0.025),\"\")","v":""},{"$f":"IF(COUNT($I$75:$I$79)>4,_xlfn.PERCENTILE.EXC($I$75:$I$100074,0.975),\"\")","v":""},{"$f":"IF(I71<>\"\",J71/I71)","v":false},{"$f":"IF(COUNT($J$75:$J$79)>4,_xlfn.PERCENTILE.EXC($J$75:$J$100074,0.5),\"\")","v":""},{"$f":"IF(COUNT($J$75:$J$79)>4,_xlfn.PERCENTILE.EXC($J$75:$J$100074,0.025),\"\")","v":""},{"$f":"IF(COUNT($J$75:$J$79)>4,_xlfn.PERCENTILE.EXC($J$75:$J$100074,0.975),\"\")","v":""},{"$f":"IF(M71<>\"\",N71/M71)","v":false},null,{"$f":"CONCATENATE(IF(ISERR(SEARCH(\"Uniform\",Q72)),\"\",\"Uniform(min,max), \"),IF(ISERR(SEARCH(\"Triangular\",Q72)),\"\",\"Triangular(min,mode,,max), \"),IF(ISERR(SEARCH(\"Trapezoidal\",Q72)),\"\",\"Trapezoidal(min,mode1,mode2,max), \"),IF(ISERR(SEARCH(\"Beta\",Q72)),\"\",\"Beta(min,α,β,max), \"),IF(ISERR(SEARCH(\"Log-normal\",Q72)),\"\",\"Log-normal(mean,SD), \"),IF(ISERR(SEARCH(\"Log-uniform\",Q72)),\"\",\"Log-uniform(min,max), \"),IF(ISERR(SEARCH(\"expit(logit)\",Q72)),\"\",\"expit(logit)(min,α,β,max), \"),  IF(ISERR(SEARCH(\"ORec\",Q72)),\"\",\"ORec(min,p(C+|E+),SD), \"), IF(ISERR(SEARCH(\"Correlate\",Q72)),\"\",\"Correlate with Parameter(Pr1,Pr2,Pr3,Pr4,ρ), \"),IF(ISERR(SEARCH(\"RatioDistF\",Q72)),\"\",\"RatioDistF(min,max,n,x)  is    d1=2(n-x+1),  d2=2x,    RatioDistF=d2/(d1*F.inv(rand(),d1,d2)+d2)  ～RatioDistF≧min and RatioDistF≦max, \"))","v":""}]
[null,{"$f":"IF(COUNTA($B$12:$B$32)>0,LEFT(Q71,LEN(Q71)-2),\"\")","v":""},null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"CONCATENATE(C59,C61,C63,C65,C67,C69,)","v":"------"}]
[null,"MCSA ERR#:",0,null,null,0]
[null,null,"UnmeasuredConfound","UnmeasuredConfound_EMM","Selection_Bias","Exposure_Misc","Outcome_Misc","Confounder_Misc",{"$f":"\"Corrected \" &F3","v":"Corrected "},{"$f":"I74 & \"+ERR\"","v":"Corrected +ERR"},null,"a","b","c","d"]

{"sheet":"Distribution","index":9,"n_rows":124,"n_cols":20,"rows_kept":124,"cut":false,"hidden":true,"merged":[[1,11,1,12],[0,1,0,3],[1,8,2,9],[1,2,1,3],[8,3,13,7]]}
[null,"Parameters",null,null,null,null,null,{"$f":"IF(ABS(J4)>99,0,IF(ABS(J4)<1,ROUNDUP(-1*LOG(ABS(J4)),0)+2,IF(ABS(J4)<100,3,0)))","v":{"$error":"#VALUE!"}},{"$f":"(J5-J4)/99","v":{"$error":"#VALUE!"}}]
[null,"Distribution","expit(logit)",null,null,"Statistics value of Beta Distribution\n",null,null,"Statistics value of Simulation",null,null,"Jump to "]
[null,{"$f":"IF(C2=\"Expression\",\"Expression\",IF(C2=\"Log-normal\",\"Median\",IF(OR(C2=\"Normal\",C2=\"Orec\"),\"Mean\",\"Min\")))","v":"Min"},2,null,null,"Min",{"$f":"C3","v":2},null,null,null,null,"UnmeasuredConfound"]
[null,{"$f":"IF(C2=\"Expression\",\"Parameter 1\",IF(C2=\"Orec\",\"p(Confounder+|Exposure-)\",IF(OR(C2=\"Triangular\",C2=\"Trapezoidal\"),\"Mode1\",IF(OR(C2=\"Beta\",C2=\"Weibull\",C2=\"expit(logit)\"),\"α\",IF(C2=\"RatioDistF\",\"n\",\"-\")))))","v":"α"},{"$f":"RAND()*0.4+0.2","v":0.3115066829795835},null,null,"Max",{"$f":"C6","v":0.2},null,"Min",{"$f":"IF(C8,MIN(乱数),\"-\")","v":"-"},{"$f":"IF(J4<>\"-\",ROUND(J4,$H$1),\"-\")","v":"-"},"UnmeasuredConfound_EMM"]
[null,{"$f":"IF(C2=\"Expression\",\"Parameter 2\",IF(C2=\"Trapezoidal\",\"Mode2\",IF(OR(C2=\"Beta\",C2=\"Weibull\",C2=\"expit(logit)\"),\"β\",IF(C2=\"RatioDistF\",\"x\",\"-\"))))","v":"β"},null,null,null,"Mode",{"$f":"IF(AND(C4>=1,C5>1),G3+(G4-G3)*((C4-1)/(C4+C5-2)),\"\")","v":""},null,"Max",{"$f":"IF(C8,MAX(乱数),\"-\")","v":"-"},"-","Selection_Bias"]
[null,{"$f":"IF(C2=\"Weibull\",\"－\",IF(C2=\"Expression\",\"Parameter 3\",IF(OR(C2=\"Normal\",C2=\"Log-normal\",C2=\"ORec\"),\"Standard deviation\",\"Max\")))","v":"Max"},0.2,null,null,"Mean",{"$f":"IF(AND(C4>=1,C5>1),G3+(G4-G3)*(C4/(C4+C5)),\"\")","v":""},null,"Mean",{"$f":"IF(C8,AVERAGE(乱数),\"-\")","v":"-"},"-","Exposure_Misc"]
[null,null,null,null,null,"Median≒",{"$f":"IF(AND(C4>=1,C5>1),G3+(G4-G3)*((C4-1/3)/(C4+C5-2/3)),\"\")","v":""},null,"Mode",{"$f":"IF($C$8,MAX($O$25:$O$124),\"-\")","v":"-"},"-","Outcome_Misc"]
[null,null,false,null,null,null,null,null,"2.5%tile",{"$f":"IF(C8,_xlfn.PERCENTILE.INC(乱数,0.025),\"-\")","v":"-"},"-","Confounder_Misc"]
[null,null,null,{"$f":"IF(C2=\"Log-normal\",L11,IF(C2=\"expit(logit)\",L12,IF(C2=\"Expression\",L13,IF(C2=\"ORec\",L14,IF(C2=\"Log-uniform\",L10,IF(C2=\"RatioDistF\",L18,IF(C2=\"Weibull\",L19,\"\")))))))","v":"expit(logit) is 0<α<1, 0<β<1\nu = Uniform(0～1)\ng = ln(α / (1 - α)) + β * ln(u / (1 - u))\nexpit(logit) = Min + (Max - Min) * (exp(g) / (exp(g) + 1))"},null,null,null,null,"25%tile",{"$f":"IF(C8,_xlfn.PERCENTILE.INC(乱数,0.25),\"-\")","v":"-"},"-"]
[null,null,null,null,null,null,null,null,"50%tile",{"$f":"IF(C8,_xlfn.PERCENTILE.INC(乱数,0.5),\"-\")","v":"-"},"-","Log-uniform is \n    u = Uniform(ln(Min)～ln(Max))\n    Log-uniform= exp( u )"]
[null,null,null,null,null,null,null,null,"75%tile",{"$f":"IF(C8,_xlfn.PERCENTILE.INC(乱数,0.75),\"-\")","v":"-"},"-","Log-normal is \nIf Mean = 0 Then Mean = 1    \nn=Norm.Inv(Uniform(0～1), 0, SD)\nLog-nomal= exp(ln(Median) + n)"]
[null,null,null,null,null,null,null,null,"97.5%tile",{"$f":"IF(C8,_xlfn.PERCENTILE.INC(乱数,0.975),\"-\")","v":"-"},"-","expit(logit) is 0<α<1, 0<β<1\nu = Uniform(0～1)\ng = ln(α / (1 - α)) + β * ln(u / (1 - u))\nexpit(logit) = Min + (Max - Min) * (exp(g) / (exp(g) + 1))"]
[null,null,null,null,null,null,null,null,"SD",{"$f":"IF(C8,_xlfn.STDEV.S(乱数),\"-\")","v":"-"},"-","Exsample of Expression\nWhen logit(p) then input \ncell C4=\"=RAND()\"\ncell C3=\"=ln(C4/(1-C4))"]
[null,null,null,null,null,null,null,null,null,null,null,"ORec=OR(Exposure-Confounder)  \n    n=normal(ln(mean),SD),q=p(Confounder+|Exposure+)=ORec \n    q=p(Confounder+|Exposure-) is Formula example \"=RAND()*0.4+0.2\"\n    p=1 / {[(1 - p) / (p * Exp(n))] + 1}","\n"]
[null,null,null,null,null,null,null,null,null,null,null,{"$f":"\"Parameters\" & CHAR(13)  & IF(OR(C2=\"Uniform\",C2=\"Log-normal\"),CONCATENATE(B3,\":\",C3,CHAR(13),B6,\":\",C6),IF(C2=\"Triangular\",CONCATENATE(B3,\":\",C3,CHAR(13),B4,\":\",C4,CHAR(13),B6,\":\",C6),IF(C2=\"Trapezoidal\",CONCATENATE(B3,\":\",C3,CHAR(13),B4,\":\",C4,CHAR(13),B5,\":\",C5,CHAR(13),B6,\":\",C6),IF(OR(C2=\"Beta\",C2=\"Weibull\",C2=\"expit(logit)\"),CONCATENATE(B4,\":\",C4,\", \",B5,\":\",C5,\", \",B3,\":\",C3,\", \",B6,\":\",C6),IF(C2=\"Expression\",L17)))))","v":"Parameters\rα:0.311506682979584, β:, Min:2, Max:0.2"}]
[null,null,null,null,null,null,null,null,null,null,null,{"$f":"C2 & \" Distribution\"","v":"expit(logit) Distribution"}]
[null,null,null,null,null,null,null,null,null,null,null,{"$f":"IF(C2=\"Expression\",CONCATENATE(\"Expression\",_xlfn.IFNA(_xlfn.FORMULATEXT(C3),C3)& CHAR(13),IF(Param1<>\"\",\"Param1\" & _xlfn.IFNA(_xlfn.FORMULATEXT(Param1),Param1) & CHAR(13),\"\"),IF(Param2<>\"\",\"Param2\" & _xlfn.IFNA(_xlfn.FORMULATEXT(Param2),Param2) & CHAR(13),\"\"),IF(Param3<>\"\",\"Param3\" & _xlfn.IFNA(_xlfn.FORMULATEXT(Param3),Param3),\"\")))","v":false}]
[null,null,null,null,null,null,null,null,null,null,null,"RatioDistF is n>1, x>1\n   d1=2(n-x+1),  d2=2x\n   RatioDistF=d2/(d1*F.inv(rand(),d1,d2)+d2)\n   ～RatioDistF≧min and RatioDistF≦max\n"]
[null,null,null,null,null,null,null,null,null,null,null,"Weibull is \n  u=Uniform(0～1)\n Weibull = Min + β * (ln(1/(1 - u))^(1 / α))"]
[]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,"β分布で近似",{"$f":"\"Cumulative probability distribution of simulation and approximate β(α=\" & ROUND(R22,2) & \",β=\" & ROUND(R23,2) & \") distribution\"","v":"Cumulative probability distribution of simulation and approximate β(α=0,β=0) distribution"},true]
[null,null,null,null,null,null,null,null,null,null,null,{"$f":"(LOG10($J$5)-LOG10($J$4))/99","v":{"$error":"#VALUE!"}},null,null,"Min=",null,"α=",null,false,{"$f":"COUNTIF(Q25:Q124,\"<=0\")","v":0}]
[null,null,null,null,null,null,null,null,null,null,null,false,null,{"$f":"MAX(N25:N124)","v":{"$error":"#DIV/0!"}},"Max=",null,"β=",null,{"$f":"(COUNTIF(乱数,\"<=\" & P23)-COUNTIF(乱数,\"<\" & P22))/20000","v":0},{"$f":"(COUNTIF(Q25:Q124,\"<1\")-T22)/2+0.25","v":0.25}]
[null,null,null,null,null,null,null,null,null,null,null,"X",{"$f":"$C$2","v":"expit(logit)"},null,null,"simulation","Beta distribution",{"$f":"SUM(R25:R124)+IF($S$21,200,0)*($P$22+($P$23-$P$22)*(($R$22-1)/($R$22+$R$23-2))-$J$7)^2","v":{"$error":"#VALUE!"}},{"$f":"IF(beta=1,\"β(\" & ROUND(R22,3) & \", \"  & ROUND(R23,3) & \", \" &  ROUND(P22,3) & \", \" &  ROUND(P23,3) & \")\",\"\")","v":""}]
[null,null,null,null,null,null,null,null,null,null,1,{"$f":"IF($C$8,IF($L$23,10^(LOG10($J$4)+$L$22*$K25),$J$4+$I$1*($K25-0.5)),\"-\")","v":"-"},{"$f":"IF($C$8,COUNTIF(乱数,\"<\" & L25),\"-\")","v":"-"},{"$f":"AVERAGE(M25:M29)","v":{"$error":"#DIV/0!"}},{"$f":"IF(N25=$N$23,AVERAGE(L25:L25),\"\")","v":{"$error":"#DIV/0!"}},{"$f":"SUM($M$25:M25)/20000","v":0},{"$f":"IF(beta=1,IF(OR(L25<0,L25<$P$22),0,IF(L25<=$P$23,_xlfn.BETA.DIST(L25,$R$22,$R$23,TRUE,$P$22,$P$23),1)),\"\")","v":""},{"$f":"IF(AND(Q25<>\"\",L25>=$P$22,L25<=$P$23),ABS($T$23-K25-$T$22)^IF($S$22,0.2,0)*(P25*$S$23-Q25)^2,\"\")","v":""},{"$f":"IF(beta=1,Q25*20000*$S$23,\"\")","v":""}]
[null,null,null,null,null,null,null,null,null,null,2,{"$f":"IF($C$8,IF($L$23,10^(LOG10($J$4)+$L$22*$K26),$J$4+$I$1*($K26-0.5)),\"-\")","v":"-"},{"$f":"IF($C$8,COUNTIF(乱数,\"<\" & L26)-SUM($M$25:M25),\"-\")","v":"-"},{"$f":"AVERAGE(M25:M30)","v":{"$error":"#DIV/0!"}},{"$f":"IF(N26=$N$23,AVERAGE(L25:L27),\"\")","v":{"$error":"#DIV/0!"}},{"$f":"SUM($M$25:M26)/20000","v":0},"",{"$f":"IF(AND(Q26<>\"\",L26>=$P$22,L26<=$P$23),ABS($T$23-K26-$T$22)^IF($S$22,0.2,0)*(P26*$S$23-Q26)^2,\"\")","v":""},{"$f":"IF(beta=1,(Q26-Q25)*20000*$S$23,\"\")","v":""}]
[null,null,null,null,null,null,null,null,null,null,3,"-",{"$f":"IF($C$8,COUNTIF(乱数,\"<\" & L27)-SUM($M$25:M26),\"-\")","v":"-"},{"$f":"AVERAGE(M25:M31)","v":{"$error":"#DIV/0!"}},{"$f":"IF(N27=$N$23,AVERAGE(L26:L28),\"\")","v":{"$error":"#DIV/0!"}},{"$f":"SUM($M$25:M27)/20000","v":0},"","",""]
[null,null,null,null,null,null,null,null,null,null,4,"-",{"$f":"IF($C$8,COUNTIF(乱数,\"<\" & L28)-SUM($M$25:M27),\"-\")","v":"-"},{"$f":"AVERAGE(M25:M32)","v":{"$error":"#DIV/0!"}},{"$error":"#DIV/0!"},{"$f":"SUM($M$25:M28)/20000","v":0},"","",""]
[null,null,null,null,null,null,null,null,null,null,5,"-",{"$f":"IF($C$8,COUNTIF(乱数,\"<\" & L29)-SUM($M$25:M28),\"-\")","v":"-"},{"$f":"AVERAGE(M25:M33)","v":{"$error":"#DIV/0!"}},{"$error":"#DIV/0!"},{"$f":"SUM($M$25:M29)/20000","v":0},"","",""]
[null,null,null,null,null,null,null,null,null,null,6,"-",{"$f":"IF($C$8,COUNTIF(乱数,\"<\" & L30)-SUM($M$25:M29),\"-\")","v":"-"},{"$f":"AVERAGE(M26:M34)","v":{"$error":"#DIV/0!"}},{"$error":"#DIV/0!"},{"$f":"SUM($M$25:M30)/20000","v":0},"","",""]
[null,null,null,null,null,null,null,null,null,null,7,"-",{"$f":"IF($C$8,COUNTIF(乱数,\"<\" & L31)-SUM($M$25:M30),\"-\")","v":"-"},{"$error":"#DIV/0!"},{"$error":"#DIV/0!"},{"$f":"SUM($M$25:M31)/20000","v":0},"","",""]
[null,null,null,null,null,null,null,null,null,null,8,"-",{"$f":"IF($C$8,COUNTIF(乱数,\"<\" & L32)-SUM($M$25:M31),\"-\")","v":"-"},{"$error":"#DIV/0!"},{"$error":"#DIV/0!"},{"$f":"SUM($M$25:M32)/20000","v":0},"","",""]
[null,null,null,null,null,null,null,null,null,null,9,"-",{"$f":"IF($C$8,COUNTIF(乱数,\"<\" & L33)-SUM($M$25:M32),\"-\")","v":"-"},{"$error":"#DIV/0!"},{"$error":"#DIV/0!"},{"$f":"SUM($M$25:M33)/20000","v":0},"","",""]
[null,null,null,null,null,null,null,null,null,null,10,"-",{"$f":"IF($C$8,COUNTIF(乱数,\"<\" & L34)-SUM($M$25:M33),\"-\")","v":"-"},{"$error":"#DIV/0!"},{"$error":"#DIV/0!"},{"$f":"SUM($M$25:M34)/20000","v":0},"","",""]
[null,null,null,null,null,null,null,null,null,null,11,"-",{"$f":"IF($C$8,COUNTIF(乱数,\"<\" & L35)-SUM($M$25:M34),\"-\")","v":"-"},{"$error":"#DIV/0!"},{"$error":"#DIV/0!"},{"$f":"SUM($M$25:M35)/20000","v":0},"","",""]
[null,null,null,null,null,null,null,null,null,null,12,"-",{"$f":"IF($C$8,COUNTIF(乱数,\"<\" & L36)-SUM($M$25:M35),\"-\")","v":"-"},{"$error":"#DIV/0!"},{"$error":"#DIV/0!"},{"$f":"SUM($M$25:M36)/20000","v":0},"","",""]
[null,null,null,null,null,null,null,null,null,null,13,"-",{"$f":"IF($C$8,COUNTIF(乱数,\"<\" & L37)-SUM($M$25:M36),\"-\")","v":"-"},{"$error":"#DIV/0!"},{"$error":"#DIV/0!"},{"$f":"SUM($M$25:M37)/20000","v":0},"","",""]
[null,null,null,null,null,null,null,null,null,null,14,"-",{"$f":"IF($C$8,COUNTIF(乱数,\"<\" & L38)-SUM($M$25:M37),\"-\")","v":"-"},{"$error":"#DIV/0!"},{"$error":"#DIV/0!"},{"$f":"SUM($M$25:M38)/20000","v":0},"","",""]
[null,null,null,null,null,null,null,null,null,null,15,"-",{"$f":"IF($C$8,COUNTIF(乱数,\"<\" & L39)-SUM($M$25:M38),\"-\")","v":"-"},{"$error":"#DIV/0!"},{"$error":"#DIV/0!"},{"$f":"SUM($M$25:M39)/20000","v":0},"","",""]
[null,null,null,null,null,null,null,null,null,null,16,"-",{"$f":"IF($C$8,COUNTIF(乱数,\"<\" & L40)-SUM($M$25:M39),\"-\")","v":"-"},{"$error":"#DIV/0!"},{"$error":"#DIV/0!"},{"$f":"SUM($M$25:M40)/20000","v":0},"","",""]
[null,null,null,null,null,null,null,null,null,null,17,"-",{"$f":"IF($C$8,COUNTIF(乱数,\"<\" & L41)-SUM($M$25:M40),\"-\")","v":"-"},{"$error":"#DIV/0!"},{"$error":"#DIV/0!"},{"$f":"SUM($M$25:M41)/20000","v":0},"","",""]
[null,null,null,null,null,null,null,null,null,null,18,"-",{"$f":"IF($C$8,COUNTIF(乱数,\"<\" & L42)-SUM($M$25:M41),\"-\")","v":"-"},{"$error":"#DIV/0!"},{"$error":"#DIV/0!"},{"$f":"SUM($M$25:M42)/20000","v":0},"","",""]
[null,null,null,null,null,null,null,null,null,null,19,"-",{"$f":"IF($C$8,COUNTIF(乱数,\"<\" & L43)-SUM($M$25:M42),\"-\")","v":"-"},{"$error":"#DIV/0!"},{"$error":"#DIV/0!"},{"$f":"SUM($M$25:M43)/20000","v":0},"","",""]
[null,null,null,null,null,null,null,null,null,null,20,"-",{"$f":"IF($C$8,COUNTIF(乱数,\"<\" & L44)-SUM($M$25:M43),\"-\")","v":"-"},{"$error":"#DIV/0!"},{"$error":"#DIV/0!"},{"$f":"SUM($M$25:M44)/20000","v":0},"","",""]
[null,null,null,null,null,null,null,null,null,null,21,"-",{"$f":"IF($C$8,COUNTIF(乱数,\"<\" & L45)-SUM($M$25:M44),\"-\")","v":"-"},{"$error":"#DIV/0!"},{"$error":"#DIV/0!"},{"$f":"SUM($M$25:M45)/20000","v":0},"","",""]
[null,null,null,null,null,null,null,null,null,null,22,"-",{"$f":"IF($C$8,COUNTIF(乱数,\"<\" & L46)-SUM($M$25:M45),\"-\")","v":"-"},{"$error":"#DIV/0!"},{"$error":"#DIV/0!"},{"$f":"SUM($M$25:M46)/20000","v":0},"","",""]
[null,null,null,null,null,null,null,null,null,null,23,"-",{"$f":"IF($C$8,COUNTIF(乱数,\"<\" & L47)-SUM($M$25:M46),\"-\")","v":"-"},{"$error":"#DIV/0!"},{"$error":"#DIV/0!"},{"$f":"SUM($M$25:M47)/20000","v":0},"","",""]
[null,null,null,null,null,null,null,null,null,null,24,"-",{"$f":"IF($C$8,COUNTIF(乱数,\"<\" & L48)-SUM($M$25:M47),\"-\")","v":"-"},{"$error":"#DIV/0!"},{"$error":"#DIV/0!"},{"$f":"SUM($M$25:M48)/20000","v":0},"","",""]
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