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{"sheet":"Factor Data","index":0,"n_rows":29,"n_cols":8,"rows_kept":29,"cut":false,"hidden":true,"merged":[]}
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{"sheet":"Node Data","index":1,"n_rows":110,"n_cols":3,"rows_kept":110,"cut":false,"hidden":true,"merged":[]}
["Entry Count",9]
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[]
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[]
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{"sheet":"Arc Data","index":2,"n_rows":122,"n_cols":2,"rows_kept":122,"cut":false,"hidden":true,"merged":[]}
["Entry Count",10]
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[]
["ID",1]
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[]
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[]
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["Orientation",-1.5707963705062866]
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[]
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[]
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[]
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[]
["ID",7]
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["Orientation",-1.5707963705062866]
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["RateProb","rMortUS(_t+Age,if(male=1,\"Male\",\"Female\"))"]
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["CostToll",0]
[]
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["Orientation",3.1415927410125732]
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[]
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[]
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["Orientation",-1.5707963705062866]
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["CostToll","ID 3"]

{"sheet":"NodeCopy Data","index":3,"n_rows":7,"n_cols":2,"rows_kept":7,"cut":false,"hidden":true,"merged":[]}
["Entry Count",1]
["Next Available ID",2]
[]
["ID",1]
["ncParentFactorID",1]
["NodeOriginalID",3]
["cPredecessorArcID",4]

{"sheet":"Dependency Data","index":4,"n_rows":27,"n_cols":3,"rows_kept":27,"cut":false,"hidden":true,"merged":[]}
["Entry Count",5]
["Next Available ID",6]
[]
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["ThenD","rrNP1*WeiHR(_t,Lambda,Gamma)","WeiHR(_t,Lambda,Gamma)"]
[]
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["ThenD","rrNP1*rrr","rrr"]
[]
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["ThenD","cStandard","cNP1"]
[]
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["ThenD","cNP1+cRevision","cStandard+cRevision"]
[]
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["ThenD","cNP1 + cRevision","cStandard+cRevision"]

{"sheet":"Trigger Data","index":5,"n_rows":2,"n_cols":2,"rows_kept":2,"cut":false,"hidden":true,"merged":[]}
["Entry Count",0]
["Next Available ID",1]

{"sheet":"_Lookup","index":6,"n_rows":12,"n_cols":2,"rows_kept":12,"cut":false,"hidden":true,"merged":[]}
["Next Available Dive Index",8]
["Begin Table",5]
["End Table",13]
[]
["Lexicographic Node Index","Dive Index"]
[5,1]
[7,5]
[8,6]
[9,7]
[12,2]
[13,3]
[14,4]

{"sheet":"_Cohort","index":7,"n_rows":51,"n_cols":11,"rows_kept":51,"cut":false,"hidden":false,"merged":[]}
[]
["Cycle Time =",0.1]
["Start Time =",0]
["Time Horizon =",20]
["Discount Rate =",{"$f":"_DiscountRate","v":1.4999999999999999E-2}]
[null,null,null,"Prosthesis:","(no name)","New Prosthesis","New Prosthesis","Standard Prosthesis","Standard Prosthesis","Terminal Node"]
[null,null,null,"Primary:","Begin","Success Primary","Success Revision","Success Primary","Success Revision"]
[null,null,null,"Bkd_Mort:","Alive","Alive","Alive","Alive","Alive"]
[null,null,null,"Chance/Decision?",1,0,0,0,0]
[]
[null,null,null,"Initial Cohort =",1]
[]
[null,null,null,"Time","Counts"]
[null,null,null,{"$f":"IF(_R,_tI,IF(_t>_tF,_tNw,D23))","v":0.89999999999999991},{"$f":"IF(_R,E11,IF(_tNw>=_tF,E14,E23))","v":0},{"$f":"IF(_R,F11,IF(_tNw>=_tF,F14,F23))","v":0.97382964340528555},{"$f":"IF(_R,G11,IF(_tNw>=_tF,G14,G23))","v":9.7713643428975157E-5},{"$f":"IF(_R,H11,IF(_tNw>=_tF,H14,H23))","v":0},{"$f":"IF(_R,I11,IF(_tNw>=_tF,I14,I23))","v":0},{"$f":"IF(_R,J11,IF(_tNw>=_tF,J14,J23))","v":2.607264295128538E-2},{"$f":"(SUMPRODUCT(E9:K9,E14:K14) > 0)","v":false}]
[null,null,"Transition Counts:"," (no name) / Begin / Alive "," "]
[null,null,null," New Prosthesis / Success Primary / Alive ",{"$f":"New*(1-omrPTHR)","v":0.98}]
[null,null,null," New Prosthesis / Success Revision / Alive "," ",{"$f":"[3]!xPr(rrNP1*[3]!WeiHR(_t,lambda,gamma)*_dT)*(1-omrRTHR)","v":1.6543602727705498E-5},{"$f":"[3]!xPr(rrNP1*rrr*_dT)*(1-omrRTHR)","v":1.0213204465555959E-3}]
[null,null,null," Standard Prosthesis / Success Primary / Alive ",{"$f":"(1-New)*(1-omrPTHR)","v":0}]
[null,null,null," Standard Prosthesis / Success Revision / Alive "," ",null,null,{"$f":"[3]!xPr([3]!WeiHR(_t,lambda,gamma)*_dT)*(1-omrRTHR)","v":6.3462523205386483E-5},{"$f":"[3]!xPr(rrr*_dT)*(1-omrRTHR)","v":3.9121704428883453E-3}]
[null,null,null,"Terminal Node",{"$f":"New*omrPTHR+(1-New)*omrPTHR","v":0.02},{"$f":"[3]!xPr(rrNP1*[3]!WeiHR(_t,lambda,gamma)*_dT)*omrRTHR+[3]!xPr([3]!rMortUS(_t+age,IF(male=1,\"Male\",\"Female\"))*_dT)","v":6.9052139691542006E-4},{"$f":"[3]!xPr(rrNP1*rrr*_dT)*omrRTHR+[3]!xPr([3]!rMortUS(_t+age,IF(male=1,\"Male\",\"Female\"))*_dT)","v":7.1102704678945863E-4},{"$f":"[3]!xPr([3]!WeiHR(_t,lambda,gamma)*_dT)*omrRTHR+[3]!xPr([3]!rMortUS(_t+age,IF(male=1,\"Male\",\"Female\"))*_dT)","v":6.9147892590476045E-4},{"$f":"[3]!xPr(rrr*_dT)*omrRTHR+[3]!xPr([3]!rMortUS(_t+age,IF(male=1,\"Male\",\"Female\"))*_dT)","v":7.70023985490127E-4}]
[null,null,null,"Entering Counts",{"$f":"SUMPRODUCT(_tR,E15:J15)","v":0},{"$f":"SUMPRODUCT(_tR,E16:J16)","v":0},{"$f":"SUMPRODUCT(_tR,E17:J17)","v":1.6210447686901611E-5},{"$f":"SUMPRODUCT(_tR,E18:J18)","v":0},{"$f":"SUMPRODUCT(_tR,E19:J19)","v":0},{"$f":"SUMPRODUCT(_tR,E20:J20)","v":6.7251968276518153E-4}]
[null,null,null,"Departing Counts",{"$f":" IF(_CD=1,E14,E14*SUM(E15:E20))","v":0},{"$f":" IF(_CD=1,F14,F14*SUM(F15:F20))","v":6.8856085646682331E-4},{"$f":" IF(_CD=1,G14,G14*SUM(G15:G20))","v":1.6927398525979756E-7},{"$f":" IF(_CD=1,H14,H14*SUM(H15:H20))","v":0},{"$f":" IF(_CD=1,I14,I14*SUM(I15:I20))","v":0},{"$f":" IF(_CD=1,J14,J14*SUM(J15:J20))","v":0}]
[null,null,null,{"$f":"IF(_CP,D14,D14+_dT)","v":0.99999999999999989},{"$f":"E14+E21-E22","v":0},{"$f":"F14+F21-F22","v":0.9731410825488187},{"$f":"G14+G21-G22","v":1.1375481713061698E-4},{"$f":"H14+H21-H22","v":0},{"$f":"I14+I21-I22","v":0},{"$f":"J14+J21-J22","v":2.6745162634050561E-2}]
[]
[null,null,null,"Quality Coefficients (at t):",null,{"$f":"uSuccessP","v":0.85},{"$f":"uSuccessR","v":0.75},{"$f":"uSuccessP","v":0.85},{"$f":"uSuccessR","v":0.75}]
[null,null,null,"(at t+dt):",null,{"$f":"uSuccessP*EXP(-_dR*_dT)","v":0.84872595577205423},{"$f":"uSuccessR*EXP(-_dR*_dT)","v":0.74887584332828316},{"$f":"uSuccessP*EXP(-_dR*_dT)","v":0.84872595577205423},{"$f":"uSuccessR*EXP(-_dR*_dT)","v":0.74887584332828316}]
[]
[null,null,"Transition QALY Tolls:"," New Prosthesis / Success Primary / Alive ",{"$f":"New*(1-omrPTHR)*tollRevision","v":0.53900000000000003}]
[null,null,null," Standard Prosthesis / Success Primary / Alive ",{"$f":"(1-New)*(1-omrPTHR)*tollRevision","v":0}]
[null,null,null," New Prosthesis / Revision / Alive "," ",{"$f":"[3]!xPr(rrNP1*[3]!WeiHR(_t,lambda,gamma)*_dT)*tollRevision","v":9.2846750002428826E-6},{"$f":"[3]!xPr(rrNP1*rrr*_dT)*tollRevision","v":5.7319004653630379E-4}]
[null,null,null," Standard Prosthesis / Revision / Alive "," ",null,null,{"$f":"[3]!xPr([3]!WeiHR(_t,lambda,gamma)*_dT)*tollRevision","v":3.5616722207104659E-5},{"$f":"[3]!xPr(rrr*_dT)*tollRevision","v":2.1956058608046838E-3}]
[null,null,null,"Terminal Node",{"$f":"New*omrPTHR*tollRevision+(1-New)*omrPTHR*tollRevision","v":1.1000000000000001E-2},{"$f":"0","v":0},{"$f":"0","v":0},{"$f":"0","v":0},{"$f":"0","v":0}]
[null,null,null,"Incremental QALY Tolls:",{"$f":"IF(_t>_tF,0,_tR*SUM(E28:E32))","v":0},{"$f":"IF(_t>_tF,0,_tR*SUM(F28:F32))","v":9.0416917446204964E-6},{"$f":"IF(_t>_tF,0,_tR*SUM(G28:G32))","v":5.6008487824286063E-8},{"$f":"IF(_t>_tF,0,_tR*SUM(H28:H32))","v":0},{"$f":"IF(_t>_tF,0,_tR*SUM(I28:I32))","v":0}]
[null,null,null,"Incremental QALYs:",{"$f":"IF(_t>_tF,0,IF(_CP,0,_dT/2*(E25*E14+E26*E23)))","v":0},{"$f":"IF(_t>_tF,0,IF(_CP,0,_dT/2*(F25*F14+F26*F23)))","v":8.2684264614089523E-2},{"$f":"IF(_t>_tF,0,IF(_CP,0,_dT/2*(G25*G14+G26*G23)))","v":7.9236733591538395E-6},{"$f":"IF(_t>_tF,0,IF(_CP,0,_dT/2*(H25*H14+H26*H23)))","v":0},{"$f":"IF(_t>_tF,0,IF(_CP,0,_dT/2*(I25*I14+I26*I23)))","v":0}]
[null,null,null,"Incremental Total:",{"$f":"E34-E33","v":0},{"$f":"F34-F33","v":8.2675222922344901E-2},{"$f":"G34-G33","v":7.8676648713295528E-6},{"$f":"H34-H33","v":0},{"$f":"I34-I33","v":0}]
[null,null,null,"Cum Discounted QALYs:",{"$f":"IF(_R,E35,IF(_t>=_tF,E36,E36+E35*EXP(-_dR*_t)))","v":-0.55000000000000004},{"$f":"IF(_R,F35,IF(_t>=_tF,F36,F36+F35*EXP(-_dR*_t)))","v":0.82322222388723298},{"$f":"IF(_R,G35,IF(_t>=_tF,G36,G36+G35*EXP(-_dR*_t)))","v":3.4420553821978802E-5},{"$f":"IF(_R,H35,IF(_t>=_tF,H36,H36+H35*EXP(-_dR*_t)))","v":0},{"$f":"IF(_R,I35,IF(_t>=_tF,I36,I36+I35*EXP(-_dR*_t)))","v":0}]
[null,null,null,"Overall Cum QALYs =",{"$f":"SUM(E36:I36)","v":0.27325664444105491}]
[]
[null,null,null,"Cost Coefficients (at t):",null,{"$f":"0","v":0},{"$f":"0","v":0},{"$f":"0","v":0},{"$f":"0","v":0}]
[null,null,null,"(at t+dt):",null,{"$f":"0","v":0},{"$f":"0","v":0},{"$f":"0","v":0},{"$f":"0","v":0}]
[]
[null,null,"Transition Cost Tolls:"," New Prosthesis / Success Primary / Alive ",{"$f":"New*(1-omrPTHR)*cStandard","v":386.12}]
[null,null,null," Standard Prosthesis / Success Primary / Alive ",{"$f":"(1-New)*(1-omrPTHR)*CNP1","v":0}]
[null,null,null," New Prosthesis / Revision / Alive "," ",{"$f":"[3]!xPr(rrNP1*[3]!WeiHR(_t,lambda,gamma)*_dT)*(CNP1+cRevision)","v":8.9369217184156025E-2},{"$f":"[3]!xPr(rrNP1*rrr*_dT)*(CNP1 + cRevision)","v":5.517214738842168}]
[null,null,null," Standard Prosthesis / Revision / Alive "," ",null,null,{"$f":"[3]!xPr([3]!WeiHR(_t,lambda,gamma)*_dT)*(cStandard+cRevision)","v":0.36834166529820234},{"$f":"[3]!xPr(rrr*_dT)*(cStandard+cRevision)","v":22.706556611376435}]
[null,null,null,"Terminal Node",{"$f":"New*omrPTHR*cStandard+(1-New)*omrPTHR*CNP1","v":7.88},{"$f":"0","v":0},{"$f":"0","v":0},{"$f":"0","v":0},{"$f":"0","v":0}]
[null,null,null,"Incremental Cost Tolls:",{"$f":"IF(_t>_tF,0,_tR*SUM(E42:E46))","v":0},{"$f":"IF(_t>_tF,0,_tR*SUM(F42:F46))","v":8.7030392901856185E-2},{"$f":"IF(_t>_tF,0,_tR*SUM(G42:G46))","v":5.3910715371230985E-4},{"$f":"IF(_t>_tF,0,_tR*SUM(H42:H46))","v":0},{"$f":"IF(_t>_tF,0,_tR*SUM(I42:I46))","v":0}]
[null,null,null,"Incremental Costs:",{"$f":"IF(_t>_tF,0,IF(_CP,0,_dT/2*(E39*E14+E40*E23)))","v":0},{"$f":"IF(_t>_tF,0,IF(_CP,0,_dT/2*(F39*F14+F40*F23)))","v":0},{"$f":"IF(_t>_tF,0,IF(_CP,0,_dT/2*(G39*G14+G40*G23)))","v":0},{"$f":"IF(_t>_tF,0,IF(_CP,0,_dT/2*(H39*H14+H40*H23)))","v":0},{"$f":"IF(_t>_tF,0,IF(_CP,0,_dT/2*(I39*I14+I40*I23)))","v":0}]
[null,null,null,"Incremental Total:",{"$f":"E48+E47","v":0},{"$f":"F48+F47","v":8.7030392901856185E-2},{"$f":"G48+G47","v":5.3910715371230985E-4},{"$f":"H48+H47","v":0},{"$f":"I48+I47","v":0}]
[null,null,null,"Cum Discounted Costs:",{"$f":"IF(_R,E49,IF(_t>=_tF,E50,E50+E49*EXP(-_dR*_t)))","v":394},{"$f":"IF(_R,F49,IF(_t>=_tF,F50,F50+F49*EXP(-_dR*_t)))","v":0.61066593869154218},{"$f":"IF(_R,G49,IF(_t>=_tF,G50,G50+G49*EXP(-_dR*_t)))","v":2.2402948529149443E-3},{"$f":"IF(_R,H49,IF(_t>=_tF,H50,H50+H49*EXP(-_dR*_t)))","v":0},{"$f":"IF(_R,I49,IF(_t>=_tF,I50,I50+I49*EXP(-_dR*_t)))","v":0}]
[null,null,null,"Overall Cum Costs =",{"$f":"SUM(E50:I50)","v":394.61290623354449}]

{"sheet":"Parameters","index":8,"n_rows":44,"n_cols":3,"rows_kept":44,"cut":false,"hidden":false,"merged":[]}
["Parameters"]
[]
[null,2]
[]
[]
["Name","Value","Description"]
[]
["age",60,"Average age of all patients at receipt of primary implant"]
["male",0,"Gender of patient (0 = Female, 1 = Male)"]
[]
["cDR",0.06,"Cost discount rate"]
["oDR",1.4999999999999999E-2,"Outcome discount rate"]
[]
["Transition probability variables (see diagram on page <Model Figure> for details)"]
[]
["omrPTHR",0.02,"Operative mortality rate following primary THR"]
["omrRTHR",0.02,"Operative mortality rate following revision THR"]
["rrr",0.04,"Re-revision risk (assumed to be constant)"]
[]
["Revision rates for prostheses (see <Hazard function> for details)"]
[]
["cons",{"$f":"'Hazard function'!C7","v":-5.4909350000000003},"Constant in survival analysis for baseline hazard"]
["ageC",{"$f":"'Hazard function'!C8","v":-3.6702199999999997E-2},"Age coefficient in survival analysis for baseline hazard"]
["maleC",{"$f":"'Hazard function'!C9","v":0.768536},"Male coefficient in survival analysis for baseline hazard"]
["lambda",{"$f":"EXP(cons+ageC*age+maleC*male)","v":4.5597754184620288E-4},"Lambda parameter survival analysis (depends on chosen mix of above coefficients)"]
["gamma",{"$f":"EXP('Hazard function'!C6)","v":1.4536778596632325},"Ancilliary parameter in Weibull distribution"]
["rrNP1",{"$f":"EXP('Hazard function'!C10)","v":0.26067678779517234},"Relative risk of revision for new prosthesis 1 compared to standard"]
[]
[]
["Resource cost parameters"]
[]
["cPrimary",0,"Cost of a primary THR procedure"]
["cRevision",5294,"Cost of one cycle in the Revision THR state (national reference costs for revision hip or knee)"]
["cSuccess",0,"Cost of one cycle in a 'success' state (primary or revision)"]
["cStandard",394,"Cost of standard prosthesis"]
["cNP1",579,"Cost of new prosthesis 1"]
[]
[]
["Utility of Markov states per cycle"]
[]
["uSuccessP",0.85,"Utility score for having had a successful Primary THR"]
["uSuccessR",0.75,"Utility score for having a successful Revision THR"]
["uRevision",0.3,"Utility score during the revision period"]
["tollRevision",{"$f":"uSuccessP-uRevision","v":0.55000000000000004},"Quality toll for revision"]

{"sheet":"Hazard function","index":9,"n_rows":10,"n_cols":5,"rows_kept":10,"cut":false,"hidden":false,"merged":[]}
["Modelling the hazard function for prosthesis failure"]
[]
[]
[null,"explanatory variables","coefficient","se","hazard ratio"]
[]
[null,"lngamma",0.37409680000000001,4.7450100000000002E-2,{"$f":"EXP(C6)","v":1.4536778596632325}]
[null,"cons",-5.4909350000000003,0.20789199999999999,{"$f":"EXP(C7)","v":4.1239864437225739E-3}]
[null,"age",-3.6702199999999997E-2,5.2112E-3,{"$f":"EXP(C8)","v":0.96396316083813449}]
[null,"male",0.768536,0.109066,{"$f":"EXP(C9)","v":2.1566066693694932}]
[null,"NP1",-1.3444739999999999,0.38258150000000002,{"$f":"EXP(C10)","v":0.26067678779517234}]

{"sheet":"Prosthesis","index":10,"n_rows":9,"n_cols":16,"rows_kept":9,"cut":false,"hidden":false,"merged":[]}
[]
[]
[null,null,null,"New =",1]
[null,null,null,null,null,null,null,null,null,null,null,"For age 60 white female"]
[null,null,null,null,null,null,null,null,null,null,null,"New","QALY","Cost",null,"ICER"]
[null,null,null,null,null,null,null,null,null,null,null,{"$f":"New","v":1},{"$f":"_CumQ","v":0.27325664444105491},{"$f":"_CumC","v":394.61290623354449},null,{"$f":"N9/M9","v":8444.950902788456}]
[null,null,null,null,null,null,null,null,null,null,null,1,12.149756535600488,430.48093407082155]
[null,null,null,null,null,null,null,null,null,null,null,0,12.120067093094905,179.75504978000748]
[null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"M7-M8","v":2.9689442505583585E-2},{"$f":"N7-N8","v":250.72588429081407}]

{"sheet":"Primary","index":11,"n_rows":0,"n_cols":0,"rows_kept":0,"cut":false,"hidden":false,"merged":[]}

{"sheet":"Bkd_Mort","index":12,"n_rows":0,"n_cols":0,"rows_kept":0,"cut":false,"hidden":false,"merged":[]}

{"sheet":"Sheet1","index":13,"n_rows":0,"n_cols":0,"rows_kept":0,"cut":false,"hidden":false,"merged":[]}