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[]
[null,"title","Customer Predator-Prey Interaction",null,null,null,null,null,null,null,null,null,"title","Synthesized MooseCo Data"]
[null,"x-axis","Months",null,null,null,null,null,null,null,null,null,"x-axis","Months"]
[null,"y-axis","Customers",null,null,null,null,null,null,null,null,null,"y-axis","Customers"]
[null,"y2-axis","Potenital Market"]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[null,"title","Customer Predator-Prey Interaction",null,null,null,null,null,null,null,null,null,null,null,"lambda_mu","lambda_sigma"]
[null,"x-axis","Wolfco Customers",null,null,null,null,null,null,null,null,null,null,{"$f":"inputs!B2","v":"aCustomersInitial"},150,50]
[null,"y-axis","MooseCo Customers",null,null,null,null,null,null,null,null,null,null,"lambda_sampled",{"$f":"inputs!D2","v":167.42848661728087}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,"aCustomerInitial_sampled",{"$f":"aCustomersInitial","v":174}]
[]
[null,null,null,null,null,null,null,null,null,null,null,null,null,"run",15,"/100"]
[]
[]
[]
[null,null,null,null,null,null,null,null,null,null,null,null,"title"]
[null,null,null,null,null,null,null,null,null,null,null,null,"x-axis"]
[null,null,null,null,null,null,null,null,null,null,null,null,"y-axis"]

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{"sheet":"inputs","index":3,"n_rows":12,"n_cols":6,"rows_kept":12,"cut":false,"hidden":false,"merged":[]}
["index","auxiliary","value","lambda","mu_lambda","sd_lambda"]
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[{"$f":"A2+1","v":2},{"$f":"OFFSET( model!D$3:E$3, 4, )","v":"aMooseAcquisitionRate"},0.75,0.5]
[{"$f":"A3+1","v":3},{"$f":"model!D23:E23","v":"aMooseInitial"},30,30]
[4,{"$f":"OFFSET( model!$D23:$E23, ROW(model!D27)-ROW(model!D23), )","v":"aMooseSwitchingRate"},0.05,0.05]
[5,{"$f":"model!D31:E31","v":"aWolfAcquisitionRate"},0.5,0.5]
[6,{"$f":"model!D43:E43","v":"aWolfInitial"},4,4]
[{"$f":"A7+1","v":7},{"$f":"model!D47:E47","v":"aWolfSwitchingRate"},0.5,0.5]
[]
[null,"t0",0]
[null,"step",2E-3]
[null,"T",24]

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[]
[]
[null,"(01)    aCustomersInitial=",null,{"$f":"LEFT(RIGHT(B3, LEN(B3)-8),LEN(RIGHT(B3, LEN(B3)-8))-1)","v":"aCustomersInitial"},{"$f":"B4","v":150}]
[null,150]
[null,"    Units: **undefined** [35,200]"]
[null,"    "]
[null,"(02)    aMooseAcquisitionRate=",null,{"$f":"LEFT(RIGHT(B7, LEN(B7)-8),LEN(RIGHT(B7, LEN(B7)-8))-1)","v":"aMooseAcquisitionRate"},{"$f":"B8","v":0.75}]
[null,0.75]
[null,"    Units: **undefined**"]
[null,"    "]
[null,"(03)    aMooseAllocationFraction=",null,{"$f":"LEFT(RIGHT(B11, LEN(B11)-8),LEN(RIGHT(B11, LEN(B11)-8))-1)","v":"aMooseAllocationFraction"},{"$f":"B12","v":"        sMoose/(sMoose+sWolf)"}]
[null,"        sMoose/(sMoose+sWolf)"]
[null,"    Units: **undefined**"]
[null,"    "]
[null,"(04)    aMooseAvailability=",null,{"$f":"LEFT(RIGHT(B15, LEN(B15)-8),LEN(RIGHT(B15, LEN(B15)-8))-1)","v":"aMooseAvailability"},{"$f":"B16","v":"        1-sMoose/aMooseCapacity"}]
[null,"        1-sMoose/aMooseCapacity"]
[null,"    Units: **undefined**"]
[null,"    "]
[null,"(05)    aMooseCapacity=",null,{"$f":"LEFT(RIGHT(B19, LEN(B19)-8),LEN(RIGHT(B19, LEN(B19)-8))-1)","v":"aMooseCapacity"},{"$f":"B20","v":"        aMooseAllocationFraction * sCustomers"}]
[null,"        aMooseAllocationFraction * sCustomers"]
[null,"    Units: **undefined**"]
[null,"    "]
[null,"(06)    aMooseInitial=",null,{"$f":"LEFT(RIGHT(B23, LEN(B23)-8),LEN(RIGHT(B23, LEN(B23)-8))-1)","v":"aMooseInitial"},{"$f":"B24","v":30},null,null,{"$f":"ROW(E23)","v":23}]
[null,30,null,null,null,null,null,{"$f":"H23+4","v":27}]
[null,"    Units: **undefined**"]
[null,"    "]
[null,"(07)    aMooseSwitchingRate=",null,{"$f":"LEFT(RIGHT(B27, LEN(B27)-8),LEN(RIGHT(B27, LEN(B27)-8))-1)","v":"aMooseSwitchingRate"},{"$f":"B28","v":0.05}]
[null,0.05]
[null,"    Units: **undefined** [0,0.1]"]
[null,"    "]
[null,"(08)    aWolfAcquisitionRate=",null,{"$f":"LEFT(RIGHT(B31, LEN(B31)-8),LEN(RIGHT(B31, LEN(B31)-8))-1)","v":"aWolfAcquisitionRate"},{"$f":"B32","v":0.5}]
[null,0.5]
[null,"    Units: **undefined**"]
[null,"    "]
[null,"(09)    aWolfAvailability=",null,{"$f":"LEFT(RIGHT(B35, LEN(B35)-8),LEN(RIGHT(B35, LEN(B35)-8))-1)","v":"aWolfAvailability"},{"$f":"B36","v":"        1-sWolf/aWolfCapacity"}]
[null,"        1-sWolf/aWolfCapacity"]
[null,"    Units: **undefined**"]
[null,"    "]
[null,"(10)    aWolfCapacity=",null,{"$f":"LEFT(RIGHT(B39, LEN(B39)-8),LEN(RIGHT(B39, LEN(B39)-8))-1)","v":"aWolfCapacity"},{"$f":"B40","v":"        (1-aMooseAllocationFraction)*sCustomers"}]
[null,"        (1-aMooseAllocationFraction)*sCustomers"]
[null,"    Units: **undefined**"]
[null,"    "]
[null,"(11)    aWolfInitial=",null,{"$f":"LEFT(RIGHT(B43, LEN(B43)-8),LEN(RIGHT(B43, LEN(B43)-8))-1)","v":"aWolfInitial"},{"$f":"B44","v":4}]
[null,4]
[null,"    Units: **undefined**"]
[null,"    "]
[null,"(12)    aWolfSwitchingRate=",null,{"$f":"LEFT(RIGHT(B47, LEN(B47)-8),LEN(RIGHT(B47, LEN(B47)-8))-1)","v":"aWolfSwitchingRate"},{"$f":"B48","v":0.5}]
[null,0.5]
[null,"    Units: **undefined** [0,0.75]"]
[null,"    "]
[null,"(13)    fCustomer=",null,{"$f":"LEFT(RIGHT(B51, LEN(B51)-8),LEN(RIGHT(B51, LEN(B51)-8))-1)","v":"fCustomer"},{"$f":"B52","v":"        fMooseAcquisition + fWolfAcquisition"}]
[null,"        fMooseAcquisition + fWolfAcquisition"]
[null,"    Units: **undefined**"]
[null,"    "]
[null,"(14)    FINAL TIME  = 24",null,{"$f":"LEFT(RIGHT(B55, LEN(B55)-8),LEN(RIGHT(B55, LEN(B55)-8))-1)","v":"FINAL TIME  = 2"},{"$f":"B56","v":"    Units: Month"}]
[null,"    Units: Month"]
[null,"    The final time for the simulation."]
[]
[null,"(15)    fMooseAcquisition=",null,{"$f":"LEFT(RIGHT(B59, LEN(B59)-8),LEN(RIGHT(B59, LEN(B59)-8))-1)","v":"fMooseAcquisition"},{"$f":"B60","v":"        aMooseAcquisitionRate * aMooseAvailability * sMoose"}]
[null,"        aMooseAcquisitionRate * aMooseAvailability * sMoose"]
[null,"    Units: **undefined**"]
[null,"    "]
[null,"(16)    fMooseSwitching=",null,{"$f":"LEFT(RIGHT(B63, LEN(B63)-8),LEN(RIGHT(B63, LEN(B63)-8))-1)","v":"fMooseSwitching"},{"$f":"B64","v":"        aMooseSwitchingRate * sMoose * sWolf"}]
[null,"        aMooseSwitchingRate * sMoose * sWolf"]
[null,"    Units: **undefined**"]
[null,"    "]
[null,"(17)    fWolfAcquisition=",null,{"$f":"LEFT(RIGHT(B67, LEN(B67)-8),LEN(RIGHT(B67, LEN(B67)-8))-1)","v":"fWolfAcquisition"},{"$f":"B68","v":"        aMooseSwitchingRate * aWolfAcquisitionRate * aWolfAvailability * sMoose *"}]
[null,"        aMooseSwitchingRate * aWolfAcquisitionRate * aWolfAvailability * sMoose *"]
[null,"     sWolf"]
[null,"    Units: **undefined**"]
[null,"    "]
[null,"(18)    fWolfSwitching=",null,{"$f":"LEFT(RIGHT(B72, LEN(B72)-8),LEN(RIGHT(B72, LEN(B72)-8))-1)","v":"fWolfSwitching"},{"$f":"B73","v":"        aWolfSwitchingRate * sWolf"}]
[null,"        aWolfSwitchingRate * sWolf"]
[null,"    Units: **undefined**"]
[null,"    "]
[null,"(19)    INITIAL TIME  = 0",null,{"$f":"LEFT(RIGHT(B76, LEN(B76)-8),LEN(RIGHT(B76, LEN(B76)-8))-1)","v":"INITIAL TIME  = "},{"$f":"B77","v":"    Units: Month"}]
[null,"    Units: Month"]
[null,"    The initial time for the simulation."]
[]
[null,"(20)    SAVEPER  = ",null,{"$f":"LEFT(RIGHT(B80, LEN(B80)-8),LEN(RIGHT(B80, LEN(B80)-8))-1)","v":"SAVEPER  ="},{"$f":"B81","v":"            TIME STEP"}]
[null,"            TIME STEP"]
[null,"    Units: Month [0,?]"]
[null,"    The frequency with which output is stored."]
[]
[null,"(21)    sCustomers= INTEG (",null,{"$f":"LEFT(RIGHT(B85, LEN(B85)-8),LEN(RIGHT(B85, LEN(B85)-8))-1)","v":"sCustomers= INTEG "},{"$f":"B86","v":"        -fCustomer,"}]
[null,"        -fCustomer,"]
[null,"            aCustomersInitial)"]
[null,"    Units: **undefined**"]
[null,"    "]
[null,"(22)    sMoose= INTEG (",null,{"$f":"LEFT(RIGHT(B90, LEN(B90)-8),LEN(RIGHT(B90, LEN(B90)-8))-1)","v":"sMoose= INTEG "},{"$f":"B91","v":"        fMooseAcquisition-fMooseSwitching,"}]
[null,"        fMooseAcquisition-fMooseSwitching,"]
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[null,"    Units: **undefined**"]
[null,"    "]
[null,"(23)    sWolf= INTEG (",null,{"$f":"LEFT(RIGHT(B95, LEN(B95)-8),LEN(RIGHT(B95, LEN(B95)-8))-1)","v":"sWolf= INTEG "},{"$f":"B96","v":"        fWolfAcquisition-fWolfSwitching,"}]
[null,"        fWolfAcquisition-fWolfSwitching,"]
[null,"            aWolfInitial)"]
[null,"    Units: **undefined**"]
[null,"    "]
[null,"(24)    TIME STEP  = 0.0333333",null,{"$f":"LEFT(RIGHT(B100, LEN(B100)-8),LEN(RIGHT(B100, LEN(B100)-8))-1)","v":"TIME STEP  = 0.033333"},{"$f":"B101","v":"    Units: Month [0,?]"}]
[null,"    Units: Month [0,?]"]
[null,"    The time step for the simulation."]

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[{"$f":"'synthetic-data'!I49","v":42},12.465773618109985,null,null,null,null,null,12.27272727272727,-1.6213832344257748,-2.1713877007084519,-2.2289575525299301,-2.19386055656051,-2.2289575525299301,-2.19386055656051,-2.2289575525299301,-2.5081392020482114,-17.37550390789325,2.8439013835017518E-8,0.23126423232436558]
[{"$f":"'synthetic-data'!I50","v":43},12.701921773537986,null,null,"max61",{"$f":"MAX( INDIRECT(F$36))","v":13},null,12.636363636363633,-1.6627055484753612,-2.1846342080376675,-2.2130049051668834,-2.2363062185819884,-2.2130049051668834,-2.2363062185819884,-2.2130049051668834,-2.6089831734542139,-17.567950082631871,2.3460443658347906E-8,0.19077881969156954]
[{"$f":"'synthetic-data'!I51","v":44},12.231647220358385,null,null,"min61",{"$f":"MIN( INDIRECT(F$36))","v":9},null,12.999999999999996,-1.737085713764617,-2.2078222061234452,-2.2078222061234452,-2.2878649137969811,-2.2078222061234452,-2.2878649137969811,-2.2078222061234452,-2.717283262927638,-17.861387628779998,1.749435413757854E-8,0.14226296323454063]
[{"$f":"'synthetic-data'!I52","v":45},12.534818461887832,null,null,"grid61",11,null,null,null,{"$f":"EXP( SUM(J36:J47) )","v":1.1418332841443668E-12},{"$f":"EXP( SUM(K36:K47) )","v":1.42121231034363E-13},3.5107601580525717E-12,1.42121231034363E-13,3.5107601580525717E-12,1.42121231034363E-13,1.3102688104727356E-12,{"$f":"SUM(J48:P48)","v":9.899986103825335E-12},{"$f":"SUM( R36:R47)","v":2.0713022069909388E-7}]
[{"$f":"'synthetic-data'!I53","v":46},12.252304452616464,null,null,"interval61",{"$f":"(F46 - F47) / F48","v":0.36363636363636365},null,null,"Pr( d  )",{"$f":"J48 / $Q$15","v":0.1370064135130486},{"$f":"K48 / $Q$15","v":1.7052857381599666E-2},0.421249463155842,1.7052857381599666E-2,0.421249463155842,1.7052857381599666E-2,0.15721667335647665]
[{"$f":"'synthetic-data'!I54","v":47},12.680609227251201,null,null,null,null,null,null,"Product(theta)",{"$f":"PRODUCT(K49:P49)","v":1.3834669962704076E-7},{"$f":"PRODUCT($J49:J49)*PRODUCT(L49:$P49)","v":1.1115078671636571E-6},{"$f":"PRODUCT($J49:K49)*PRODUCT(M49:$P49)","v":4.4995630368923846E-8},{"$f":"PRODUCT($J49:L49)*PRODUCT(N49:$P49)","v":1.1115078671636571E-6},{"$f":"PRODUCT($J49:M49)*PRODUCT(O49:$P49)","v":4.4995630368923846E-8},{"$f":"PRODUCT($J49:N49)*PRODUCT(P49:$P49)","v":1.1115078671636571E-6},{"$f":"PRODUCT($J49:O49)*PRODUCT($P49:Q49)","v":1.8954385137267869E-8},{"$f":"SUM(J50:P50)","v":3.5818159469931277E-6}]
[{"$f":"'synthetic-data'!I55","v":48},12.69574124156839,null,null,null,null,null,null,"w",{"$f":"J50/$Q$17","v":2.4550346683943092},{"$f":"K50/$Q$17","v":19.724289451328804},0.79847103530305397,19.724289451328804,0.79847103530305397,19.724289451328804,0.33635549496690081]
[{"$f":"'synthetic-data'!I56","v":49},12.466506457902513]
[{"$f":"'synthetic-data'!I57","v":50},12.190008628799651]
[{"$f":"'synthetic-data'!I58","v":51},12.632774233644083,null,null,null,null,null,"h"]
[{"$f":"'synthetic-data'!I59","v":52},12.606006241644549,null,null,null,null,null,"mu_h",12]
[{"$f":"'synthetic-data'!I60","v":53},12.715880934833871,null,null,null,null,null,"sigma_h",2]
[{"$f":"'synthetic-data'!I61","v":54},12.602211508707263]
[{"$f":"'synthetic-data'!I62","v":55},12.169059536936182,null,null,null,null,null,null,"lppd_i",{"$f":"AVERAGE( J36:J47)","v":-2.2915321667678983},{"$f":"AVERAGE( K36:K47)","v":-2.4651746634882703},-2.1979323777210635,-2.4651746634882703,-2.1979323777210635,-2.4651746634882703,-2.2800657334109782]
[{"$f":"'synthetic-data'!I63","v":56},11.086133646610666,null,null,null,null,null,null,"pWAIC_i",{"$f":"VAR( J36:J47 )","v":2.2432545734713958E-2},{"$f":"VAR( K36:K47 )","v":6.9145672191315163E-2},4.6570248705124044E-3,6.9145672191315163E-2,4.6570248705124044E-3,6.9145672191315163E-2,5.5918799919314373E-2]
[{"$f":"'synthetic-data'!I64","v":57},12.179543288281382,null,null,null,null,null,null,"lppd",{"$f":"SUM( J58:P58 )","v":-16.362986646085812},null,null,null,null,null,null,null,"log-predictive-posterior-distbriution"]
[{"$f":"'synthetic-data'!I65","v":58},12.634336136966331,null,null,null,null,null,null,"pWAIC ",{"$f":"SUM( J59:P59)","v":0.29510241196899861},null,null,null,null,null,null,null,"variance penalty"]
[{"$f":"'synthetic-data'!I66","v":59},12.6762747789362,null,null,null,null,null,null,"WAIC_i",{"$f":"-2*J58+2*J59","v":4.6279294250052248},5.0686406713591712,4.4051788051831515,5.0686406713591712,4.4051788051831515,5.0686406713591712,4.6719690666605853,null,"Widely Available Information Criterion (Watanabe 2010)"]
[{"$f":"'synthetic-data'!I67","v":60},12.200453660802992,null,null,null,null,null,null,"WAIC",{"$f":"-2*J60 + 2*J61","v":33.316178116109619},null,null,null,null,null,null,null,"-2(lppd - pWAIC)"]
[{"$f":"'synthetic-data'!I68","v":61},12.717551520685435,null,null,null,null,null,null,"sigma_WAIC",{"$f":"SQRT( COUNT(J35:P35) * VAR( J62:P62 ) )","v":0.81028219731022955}]
[{"$f":"'synthetic-data'!I69","v":62},12.700788711831592,null,null,null,null,null,null,"WAIC_cv",{"$f":"$J$30-J62","v":32.602491297750809},32.161780051396867,32.825241917572882,32.161780051396867,32.825241917572882,32.161780051396867,32.55845165609545,null,"leave-one-out cross validation (loo-cv)"]
[{"$f":"'synthetic-data'!I70","v":63},12.431913230854143,null,null,null,null,null,null,"pWAIC_cv",{"$f":"$J$61-J59","v":0.27266986623428463},{"$f":"$J$61-K59","v":0.22595673977768344},0.29044538709848622,0.22595673977768344,0.29044538709848622,0.22595673977768344,0.23918361204968425]
[{"$f":"'synthetic-data'!I71","v":64},12.581018575892557,null,null,null,"Model 1 - Model 2"]
[{"$f":"'synthetic-data'!I72","v":65},11.555018039466011,null,null,null,null,null,null,"dWAIC",{"$f":"J32 - J65","v":-1.2383424537172587},{"$f":"K32 - K65","v":-1.9132602812325352},-0.13086726364861789,9.9741093011644466E-2,-1.3814396632698021,0.52329878345437209,0.12662717875578977]
[{"$f":"'synthetic-data'!I73","v":66},12.501524083097355,null,null,null,null,null,null,"dpWAIC",{"$f":"J33 - J66","v":0.89847919651629926},{"$f":"K33 - K66","v":0.74877150173211571},1.2223117486799491,1.2213267889204891,0.97144570801901353,1.3049488024741327,1.2917219302021319]
[{"$f":"'synthetic-data'!I74","v":67},12.323453488705319,null,null,null,null,null,null,{"$f":"I68","v":"dWAIC"},{"$f":"I69","v":"dpWAIC"}]
[{"$f":"'synthetic-data'!I75","v":68},12.17144573256512,null,null,null,null,null,null,{"$f":"TRANSPOSE(J68:P69)","v":-1.2383424537172587},0.89847919651629926,null,{"$f":"I71","v":-1.2383424537172587},{"$f":"J71","v":0.89847919651629926},null,-1.2383424537172587,0.89847919651629926]
[{"$f":"'synthetic-data'!I76","v":69},12.333564784197705,null,null,null,null,null,null,-1.9132602812325352,0.74877150173211571,null,{"$f":"I72","v":-1.9132602812325352},0.74877150173211571,null,-1.9132602812325352,0.74877150173211571]
[{"$f":"'synthetic-data'!I77","v":70},12.671728517170351,null,null,null,null,null,null,-0.13086726364861789,1.2223117486799491,null,-0.13086726364861789,1.2223117486799491,null,-0.13086726364861789,1.2223117486799491]
[{"$f":"'synthetic-data'!I78","v":71},11.65160281899303,null,null,null,null,null,null,9.9741093011644466E-2,1.2213267889204891,null,9.9741093011644466E-2,1.2213267889204891,null,9.9741093011644466E-2,1.2213267889204891]
[{"$f":"'synthetic-data'!I79","v":72},12.697263808799622,null,null,null,null,null,null,-1.3814396632698021,0.97144570801901353,null,-1.3814396632698021,0.97144570801901353,null,-1.3814396632698021,0.97144570801901353]
[{"$f":"'synthetic-data'!I80","v":73},12.534818461887832,null,null,null,null,null,null,0.52329878345437209,1.3049488024741327,null,0.52329878345437209,1.3049488024741327,null,0.52329878345437209,1.3049488024741327]
[{"$f":"'synthetic-data'!I81","v":74},12.000191404592373,null,null,null,null,null,null,0.12662717875578977,1.2917219302021319,null,0.12662717875578977,1.2917219302021319,null,0.12662717875578977,1.2917219302021319]
[{"$f":"'synthetic-data'!I82","v":75},12.563193127034035]
[{"$f":"'synthetic-data'!I83","v":76},11.926563900871038]
[{"$f":"'synthetic-data'!I84","v":77},12.392169943832766]
[{"$f":"'synthetic-data'!I85","v":78},12.116427820103508]
[{"$f":"'synthetic-data'!I86","v":79},12.70677938859469]
[{"$f":"'synthetic-data'!I87","v":80},11.958050618192651]
[{"$f":"'synthetic-data'!I88","v":81},12.413862988581281]
[{"$f":"'synthetic-data'!I89","v":82},12.700788711831592]
[{"$f":"'synthetic-data'!I90","v":83},12.714487326154757]
[{"$f":"'synthetic-data'!I91","v":84},12.65686218653954]
[{"$f":"'synthetic-data'!I92","v":85},12.558519239959471]
[{"$f":"'synthetic-data'!I93","v":86},12.588233309558465]
[{"$f":"'synthetic-data'!I94","v":87},12.595298951268173]
[{"$f":"'synthetic-data'!I95","v":88},12.481633203892727]
[{"$f":"'synthetic-data'!I96","v":89},12.429985831756742]
[{"$f":"'synthetic-data'!I97","v":90},12.43924531418789]
[{"$f":"'synthetic-data'!I98","v":91},11.583649175262348]
[{"$f":"'synthetic-data'!I99","v":92},12.262585111613648]
[{"$f":"'synthetic-data'!I100","v":93},11.227819207257321]
[{"$f":"'synthetic-data'!I101","v":94},12.700788711831592]
[{"$f":"'synthetic-data'!I102","v":95},12.64597130978167]
[{"$f":"'synthetic-data'!I103","v":96},12.372837637104872]
[{"$f":"'synthetic-data'!I104","v":97},11.407557339440201]
[{"$f":"'synthetic-data'!I105","v":98},12.313417803622778]
[{"$f":"'synthetic-data'!I106","v":99},12.588233309558465]
[{"$f":"'synthetic-data'!I107","v":100},12.666974786047014]

{"sheet":">>>>>>","index":9,"n_rows":0,"n_cols":0,"rows_kept":0,"cut":false,"hidden":false,"merged":[]}

{"sheet":"all-WAIC-CV","index":10,"n_rows":219,"n_cols":26,"rows_kept":219,"cut":false,"hidden":false,"merged":[]}
[null,"1. Compute log probability of each observation for each simulated parameter run: out of sample"]
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[null,{"$f":"'synthetic-data'!J105","v":186.11872377138968},{"$f":"_xlfn.POISSON.DIST( 'synthetic-data'!L105, 'synthetic-data'!$J105, FALSE )","v":7.4535457805766258E-43},{"$f":"_xlfn.POISSON.DIST( 'synthetic-data'!M105, 'synthetic-data'!$J105, FALSE )","v":3.9635555092929819E-42},{"$f":"_xlfn.POISSON.DIST( 'synthetic-data'!N105, 'synthetic-data'!$J105, FALSE )","v":6.913646800329731E-46},{"$f":"_xlfn.POISSON.DIST( 'synthetic-data'!O105, 'synthetic-data'!$J105, FALSE )","v":1.1331310604870803E-52},{"$f":"_xlfn.POISSON.DIST( 'synthetic-data'!P105, 'synthetic-data'!$J105, FALSE )","v":1.2589737190850669E-59},{"$f":"_xlfn.POISSON.DIST( 'synthetic-data'!Q105, 'synthetic-data'!$J105, FALSE )","v":5.331005293285023E-63},{"$f":"_xlfn.POISSON.DIST( 'synthetic-data'!R105, 'synthetic-data'!$J105, FALSE )","v":2.0314349179357895E-65},{"$f":"_xlfn.POISSON.DIST( 'synthetic-data'!S105, 'synthetic-data'!$J105, FALSE )","v":2.0314349179357895E-65},{"$f":"_xlfn.POISSON.DIST( 'synthetic-data'!T105, 'synthetic-data'!$J105, FALSE )","v":2.0314349179357895E-65},{"$f":"_xlfn.POISSON.DIST( 'synthetic-data'!U105, 'synthetic-data'!$J105, FALSE )","v":5.331005293285023E-63},{"$f":"_xlfn.POISSON.DIST( 'synthetic-data'!V105, 'synthetic-data'!$J105, FALSE )","v":7.6323069354209099E-62},{"$f":"_xlfn.POISSON.DIST( 'synthetic-data'!W105, 'synthetic-data'!$J105, FALSE )","v":1.2589737190850669E-59},{"$f":"_xlfn.POISSON.DIST( 'synthetic-data'!X105, 'synthetic-data'!$J105, FALSE )","v":1.4644911366114562E-58},{"$f":"_xlfn.POISSON.DIST( 'synthetic-data'!Y105, 'synthetic-data'!$J105, FALSE )","v":1.6033483607096586E-57},{"$f":"_xlfn.POISSON.DIST( 'synthetic-data'!Z105, 'synthetic-data'!$J105, FALSE )","v":1.6033483607096586E-57},{"$f":"_xlfn.POISSON.DIST( 'synthetic-data'!AA105, 'synthetic-data'!$J105, FALSE )","v":1.6033483607096586E-57},{"$f":"_xlfn.POISSON.DIST( 'synthetic-data'!AB105, 'synthetic-data'!$J105, FALSE )","v":1.4644911366114562E-58},{"$f":"_xlfn.POISSON.DIST( 'synthetic-data'!AC105, 'synthetic-data'!$J105, FALSE )","v":1.2589737190850669E-59},{"$f":"_xlfn.POISSON.DIST( 'synthetic-data'!AD105, 'synthetic-data'!$J105, FALSE )","v":1.2589737190850669E-59},{"$f":"_xlfn.POISSON.DIST( 'synthetic-data'!AE105, 'synthetic-data'!$J105, FALSE )","v":1.0146537330371862E-60},{"$f":"_xlfn.POISSON.DIST( 'synthetic-data'!AF105, 'synthetic-data'!$J105, FALSE )","v":7.6323069354209099E-62},{"$f":"_xlfn.POISSON.DIST( 'synthetic-data'!AG105, 'synthetic-data'!$J105, FALSE )","v":7.6323069354209099E-62},{"$f":"_xlfn.POISSON.DIST( 'synthetic-data'!AH105, 'synthetic-data'!$J105, FALSE )","v":5.331005293285023E-63},{"$f":"_xlfn.POISSON.DIST( 'synthetic-data'!AI105, 'synthetic-data'!$J105, FALSE )","v":5.331005293285023E-63}]
[null,{"$f":"'synthetic-data'!J106","v":134.55127451220795},{"$f":"_xlfn.POISSON.DIST( 'synthetic-data'!L106, 'synthetic-data'!$J106, FALSE )","v":7.581169100643457E-26},{"$f":"_xlfn.POISSON.DIST( 'synthetic-data'!M106, 'synthetic-data'!$J106, FALSE )","v":7.581169100643457E-26},{"$f":"_xlfn.POISSON.DIST( 'synthetic-data'!N106, 'synthetic-data'!$J106, FALSE )","v":4.8960063118158128E-29},{"$f":"_xlfn.POISSON.DIST( 'synthetic-data'!O106, 'synthetic-data'!$J106, FALSE )","v":3.6595203661462327E-34},{"$f":"_xlfn.POISSON.DIST( 'synthetic-data'!P106, 'synthetic-data'!$J106, FALSE )","v":2.4095812415879031E-39},{"$f":"_xlfn.POISSON.DIST( 'synthetic-data'!Q106, 'synthetic-data'!$J106, FALSE )","v":2.7004788044964374E-42},{"$f":"_xlfn.POISSON.DIST( 'synthetic-data'!R106, 'synthetic-data'!$J106, FALSE )","v":1.9689698787374184E-44},{"$f":"_xlfn.POISSON.DIST( 'synthetic-data'!S106, 'synthetic-data'!$J106, FALSE )","v":1.9689698787374184E-44},{"$f":"_xlfn.POISSON.DIST( 'synthetic-data'!T106, 'synthetic-data'!$J106, FALSE )","v":1.9689698787374184E-44},{"$f":"_xlfn.POISSON.DIST( 'synthetic-data'!U106, 'synthetic-data'!$J106, FALSE )","v":2.4084309696387996E-43},{"$f":"_xlfn.POISSON.DIST( 'synthetic-data'!V106, 'synthetic-data'!$J106, FALSE )","v":2.7004788044964374E-42},{"$f":"_xlfn.POISSON.DIST( 'synthetic-data'!W106, 'synthetic-data'!$J106, FALSE )","v":2.7950220379861445E-41},{"$f":"_xlfn.POISSON.DIST( 'synthetic-data'!X106, 'synthetic-data'!$J106, FALSE )","v":2.6862412678624834E-40},{"$f":"_xlfn.POISSON.DIST( 'synthetic-data'!Y106, 'synthetic-data'!$J106, FALSE )","v":2.6862412678624834E-40},{"$f":"_xlfn.POISSON.DIST( 'synthetic-data'!Z106, 'synthetic-data'!$J106, FALSE )","v":2.6862412678624834E-40},{"$f":"_xlfn.POISSON.DIST( 'synthetic-data'!AA106, 'synthetic-data'!$J106, FALSE )","v":2.7950220379861445E-41},{"$f":"_xlfn.POISSON.DIST( 'synthetic-data'!AB106, 'synthetic-data'!$J106, FALSE )","v":2.7950220379861445E-41},{"$f":"_xlfn.POISSON.DIST( 'synthetic-data'!AC106, 'synthetic-data'!$J106, FALSE )","v":2.7950220379861445E-41},{"$f":"_xlfn.POISSON.DIST( 'synthetic-data'!AD106, 'synthetic-data'!$J106, FALSE )","v":2.7004788044964374E-42},{"$f":"_xlfn.POISSON.DIST( 'synthetic-data'!AE106, 'synthetic-data'!$J106, FALSE )","v":2.7004788044964374E-42},{"$f":"_xlfn.POISSON.DIST( 'synthetic-data'!AF106, 'synthetic-data'!$J106, FALSE )","v":2.7004788044964374E-42},{"$f":"_xlfn.POISSON.DIST( 'synthetic-data'!AG106, 'synthetic-data'!$J106, FALSE )","v":2.7004788044964374E-42},{"$f":"_xlfn.POISSON.DIST( 'synthetic-data'!AH106, 'synthetic-data'!$J106, FALSE )","v":2.7004788044964374E-42},{"$f":"_xlfn.POISSON.DIST( 'synthetic-data'!AI106, 'synthetic-data'!$J106, FALSE )","v":2.7004788044964374E-42}]
[null,{"$f":"'synthetic-data'!J107","v":128.31474653559951},{"$f":"_xlfn.POISSON.DIST( 'synthetic-data'!L107, 'synthetic-data'!$J107, FALSE )","v":8.091979417231128E-24},{"$f":"_xlfn.POISSON.DIST( 'synthetic-data'!M107, 'synthetic-data'!$J107, FALSE )","v":2.081096116996516E-24},{"$f":"_xlfn.POISSON.DIST( 'synthetic-data'!N107, 'synthetic-data'!$J107, FALSE )","v":1.4457667846282749E-27},{"$f":"_xlfn.POISSON.DIST( 'synthetic-data'!O107, 'synthetic-data'!$J107, FALSE )","v":6.9036330600748045E-32},{"$f":"_xlfn.POISSON.DIST( 'synthetic-data'!P107, 'synthetic-data'!$J107, FALSE )","v":6.0431389184738905E-37},{"$f":"_xlfn.POISSON.DIST( 'synthetic-data'!Q107, 'synthetic-data'!$J107, FALSE )","v":7.8090016328936739E-40},{"$f":"_xlfn.POISSON.DIST( 'synthetic-data'!R107, 'synthetic-data'!$J107, FALSE )","v":7.3029813115616148E-41},{"$f":"_xlfn.POISSON.DIST( 'synthetic-data'!S107, 'synthetic-data'!$J107, FALSE )","v":6.2606050041870593E-42},{"$f":"_xlfn.POISSON.DIST( 'synthetic-data'!T107, 'synthetic-data'!$J107, FALSE )","v":6.2606050041870593E-42},{"$f":"_xlfn.POISSON.DIST( 'synthetic-data'!U107, 'synthetic-data'!$J107, FALSE )","v":7.3029813115616148E-41},{"$f":"_xlfn.POISSON.DIST( 'synthetic-data'!V107, 'synthetic-data'!$J107, FALSE )","v":7.3029813115616148E-41},{"$f":"_xlfn.POISSON.DIST( 'synthetic-data'!W107, 'synthetic-data'!$J107, FALSE )","v":7.8090016328936739E-40},{"$f":"_xlfn.POISSON.DIST( 'synthetic-data'!X107, 'synthetic-data'!$J107, FALSE )","v":7.8090016328936739E-40},{"$f":"_xlfn.POISSON.DIST( 'synthetic-data'!Y107, 'synthetic-data'!$J107, FALSE )","v":7.8090016328936739E-40},{"$f":"_xlfn.POISSON.DIST( 'synthetic-data'!Z107, 'synthetic-data'!$J107, FALSE )","v":7.8090016328936739E-40},{"$f":"_xlfn.POISSON.DIST( 'synthetic-data'!AA107, 'synthetic-data'!$J107, FALSE )","v":7.8090016328936739E-40},{"$f":"_xlfn.POISSON.DIST( 'synthetic-data'!AB107, 'synthetic-data'!$J107, FALSE )","v":7.8090016328936739E-40},{"$f":"_xlfn.POISSON.DIST( 'synthetic-data'!AC107, 'synthetic-data'!$J107, FALSE )","v":7.8090016328936739E-40},{"$f":"_xlfn.POISSON.DIST( 'synthetic-data'!AD107, 'synthetic-data'!$J107, FALSE )","v":7.8090016328936739E-40},{"$f":"_xlfn.POISSON.DIST( 'synthetic-data'!AE107, 'synthetic-data'!$J107, FALSE )","v":7.3029813115616148E-41},{"$f":"_xlfn.POISSON.DIST( 'synthetic-data'!AF107, 'synthetic-data'!$J107, FALSE )","v":7.3029813115616148E-41},{"$f":"_xlfn.POISSON.DIST( 'synthetic-data'!AG107, 'synthetic-data'!$J107, FALSE )","v":7.3029813115616148E-41},{"$f":"_xlfn.POISSON.DIST( 'synthetic-data'!AH107, 'synthetic-data'!$J107, FALSE )","v":7.3029813115616148E-41},{"$f":"_xlfn.POISSON.DIST( 'synthetic-data'!AI107, 'synthetic-data'!$J107, FALSE )","v":7.3029813115616148E-41}]
[]
[null,null,{"$f":"LN( AVERAGE(C3:C102) )","v":-14.121646725028024},{"$f":"LN( AVERAGE(D3:D102) )","v":-16.648487804713387},-20.478184490817906,-24.679781599884862,-27.860195345635848,-30.464806492488989,-31.988920746610091,-33.599966542344923,-33.599966542344923,-33.599966542344923,-33.599966542344738,-33.599966542344838,-35.305003670115923,-35.306241945508027,-35.306241945508027,-35.306241946618556,-35.306241946742205,-35.306241946742233,-35.306247559544033,-35.306247559544033,-35.306247559544033,-35.306247559544033,-35.306247559544452,-35.306247559544452]
[null,"lppd <- sum (log (colMeans(exp(log_lik))))",{"$f":"SUM( C104:Z104 )","v":-757.91555467540365}]
[]
[null,"2. Compute pWAIC"]
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[null,null,{"$f":"LN( C4 )","v":-27.30201257259824},-29.338552909432892,-38.802956543099377,-49.231230075334494,-58.361892178152736,-62.538498678483663,-64.765617796948277,-64.765617796948277,-67.098097431070698,-67.098097431070698,-67.098097431070698,-67.098097431070698,-67.098097431070698,-67.098097431070698,-67.098097431070698,-67.098097431070698,-67.098097431070698,-67.098097431070698,-67.098097431070698,-67.098097431070698,-67.098097431070698,-67.098097431070698,-67.098097431070698,-67.098097431070698]
[null,null,{"$f":"LN( C5 )","v":-118.09360687411451},-111.54930876645247,-136.19216428931765,-169.60799732158921,-189.22607199571104,-198.94056459135086,-198.94056459135086,-195.58875819714743,-189.22607199571104,-180.38007946810899,-174.86469112705984,-169.60799732158921,-169.60799732158921,-172.2060319134163,-174.86469112705984,-177.58788886184095,-180.38007946810899,-183.24637804653079,-183.24637804653079,-186.19271933262607,-186.19271933262607,-186.19271933262607,-189.22607199571104,-189.22607199571104]
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[]
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[null,"p_waic <- sum (colVars(log_lik))",{"$f":"SUM( C209:Z209)","v":45843.027196853254}]
[null,"lppd",{"$f":"C105","v":-757.91555467540365}]
[null,"waic <- -2*lppd + 2*p_waic",{"$f":"-2*C211 +2*C210","v":93201.885503057318}]
[null,"pWAIC(-i)",{"$f":"$C$210 - C209","v":44432.070304102301},{"$f":"$C$210 - D209","v":44577.376562038866},44420.519533124905,43971.087802747228,43557.232074211352,43355.632760376757,43255.750477828151,43360.95118581086,43462.932239092166,43683.144423250174,43864.165993338553,44096.636973930465,44294.920386606907,44418.455746292711,44447.539693752784,44406.199107454871,44299.605870502091,44125.463584037287,43960.089161700424,43817.905252348057,43714.595698221456,43660.97797277927,43614.633808107414,43591.738915969807]
[null,"WAIC_i",{"$f":"-2*(C104-C209)","v":2850.1570789519628},2564.5982452382023,2885.9716964383369,3793.2383514118251,4627.3106359750709,5035.7184859379795,5238.5312795434311,5031.3519551694762,4827.3898486068711,4386.9654802908499,4024.9223401140994,3559.9803789302641,3166.8236278329264,2919.7553850120948,2861.587490091963,2944.2686626900045,3157.4551365958123,3505.7397095254264,3836.4885654247555,4120.8563841294863,4327.4754923826868,4434.7109432670568,4527.3992726107699,4573.1890568859817]
[null,"sum(WAIC_i)",{"$f":"SUM(C214:Z214)","v":93201.885503057318}]
[null,"WAIC(-i)",{"$f":"$C$215 - C214","v":90351.728424105357}]
[null,"pWAIC(-i)",{"$f":"$C$210 - C209","v":44432.070304102301},{"$f":"$C$210 - D209","v":44577.376562038866},44420.519533124905,43971.087802747228,43557.232074211352,43355.632760376757,43255.750477828151,43360.95118581086,43462.932239092166,43683.144423250174,43864.165993338553,44096.636973930465,44294.920386606907,44418.455746292711,44447.539693752784,44406.199107454871,44299.605870502091,44125.463584037287,43960.089161700424,43817.905252348057,43714.595698221456,43660.97797277927,43614.633808107414,43591.738915969807]
[null,"lppd(-i)",{"$f":"$C$105-C104","v":-743.79390795037568},{"$f":"$C$105-D104","v":-741.26706687069031},-737.4373701845858,-733.23577307551875,-730.05535932976784,-727.45074818291471,-725.92663392879354,-724.31558813305878,-724.31558813305878,-724.31558813305878,-724.3155881330589,-724.31558813305878,-722.61055100528779,-722.60931272989558,-722.60931272989558,-722.60931272878508,-722.60931272866151,-722.60931272866139,-722.60930711585956,-722.60930711585956,-722.60930711585956,-722.60930711585956,-722.60930711585922,-722.60930711585922]
[null,"WAIC(-i)",{"$f":"$C$215 - C217","v":48769.815198955017},{"$f":"$C$215 - D217","v":48624.508941018452},48781.365969932413,49230.79770031009,49644.653428845966,49846.252742680561,49946.135025229167,49840.934317246458,49738.953263965152,49518.741079807143,49337.719509718765,49105.248529126853,48906.96511645041,48783.429756764606,48754.345809304534,48795.686395602446,48902.279632555226,49076.421919020031,49241.796341356894,49383.980250709261,49487.289804835862,49540.907530278047,49587.251694949904,49610.146587087511]