Nothing
inst/models/nightly/ETC88.R
In OpenMx: Extended Structural Equation Modelling
# -----------------------------------------------------------------------
# Program: ETC88.R
# Author: Hermine Maes
# Date: 01 07 2010
#
# Estimating Extended Twin-kinship (ET) ML Correlations
#
# Revision History
# Hermine Maes -- 01 07 2010 updated & reformatted
# Hermine Maes -- 08 31 2010 updated with changes from EC88ccT5.R
# Hermine Maes -- 09 15 2010 updated with changes from EC88cc2TST5.R
# -----------------------------------------------------------------------
require(OpenMx)
if (mxOption(NULL, "Default optimizer") == 'NPSOL') stop('SKIP')
# Prepare Data
# -----------------------------------------------------------------------!
EtVars <- c('famid','e1','e2','e3','e4','e5','e6','e7','e8','e9','e10',
'e11','e12','e13','e14','e15','e16','e17','e18',
'a1','a2','a3','a4','a5','a6','a7','a8','a9',
'a10','a11','a12','a13','a14','a15','a16','a17','a18')
data(mzmData)
data(dzmData)
data(mzfData)
data(dzfData)
data(dzoData)
dataMZM <- mzmData[2:19]
dataDZM <- dzmData[2:19]
dataMZF <- mzfData[2:19]
dataDZF <- dzfData[2:19]
dataDZO <- dzoData[2:19]
# Prepare Labels
# -----------------------------------------------------------------------!
selVars <-c('e1','e2','e3','e4','e5','e6','e7','e8','e9','e10','e11','e12','e13','e14','e15','e16','e17','e18')
Mpsi <- c('FA','MO','MS','MS','FS','FS')
Mtwc <- c('MC1','MC1','FC1','FC1','MC2','MC2','FC2','FC2')
labMeansM <- c('MT1','MT2',Mpsi,'FS1','FS2',Mtwc)
labMeansF <- c('FT1','FT2',Mpsi,'MS1','MS2',Mtwc)
labMeansMF <- c('MT1','FT2',Mpsi,'FS1','MS2',Mtwc)
labMeans <- c('MT1','FT1','MT2','FT2','FA','MO','MS','FS','MS1','FS1','MS2','FS2','MC1','FC1','MC2','FC2')
labMeans10 <- c('MT','FT','FA','MO','MS','FS','MP','FP','MC','FC')
SDpsi <- c('SDm','SDf','SDm','SDm','SDf','SDf')
SDtwc <- c('SDm','SDm','SDf','SDf','SDm','SDm','SDf','SDf')
labSDevM <- c('SDm','SDm',SDpsi,'SDf','SDf',SDtwc)
labSDevF <- c('SDf','SDf',SDpsi,'SDm','SDm',SDtwc)
labSDevMF <- c('SDm','SDf',SDpsi,'SDf','SDm',SDtwc)
labSDevs <- c('SDm','SDf')
# Prepare Start Values
# -----------------------------------------------------------------------!
svMZ <- 0.8
svDZ <- 0.4
svSMZ <- 0.1
svSDZ <- 0.1
svSSMZ <- 0.1
svSSDZ <- 0.1
svSI <- 0.4
svSSI <- 0.1
svSP <- 0.1
svPO <- 0.4
svSPO <- 0.1
svGP <- 0.2
svAVMZ <- 0.2
svAVSI <- 0.1
svAVDZ <- 0.1
svSAVMZ <- 0.1
svSAVDZ <- 0.1
svCOMZ <- 0.2
svCODZ <- 0.1
ns <- 2 # number of sibs/kids
nvr <- 18 # number of variables in expected means/covariances
nv <- 1 # number of variables analyzed
# Specify Model Matrices and Algebra
# -----------------------------------------------------------------------!
etc88Model <- mxModel("et",
mxMatrix("Full", 1, 1, F, 9, name="x"),
mxMatrix("Unit", ns,ns, name="xx_xx"),
mxMatrix("Full", nv, nv, F, 1, name="mv"),
mxMatrix("Full", nv, nv, F, 1, name="fv"),
mxMatrix("Full", nv, nv, T, svMZ, "r1", -.2, .9, name="mzm"),
mxMatrix("Full", nv, nv, T, svDZ, "r2", -.2, .9, name="dzm"),
mxMatrix("Full", nv, nv, T, svMZ, "r3", -.2, .9, name="mzf"),
mxMatrix("Full", nv, nv, T, svDZ, "r4", -.2, .9, name="dzf"),
mxMatrix("Full", nv, nv, T, svDZ, "r5", -.2, .9, name="dzmf"),
mxMatrix("Full", nv, nv, T, svSMZ, "r6", -.2, .9, name="mzmw"),
mxMatrix("Full", nv, nv, T, svSDZ, "r7", -.2, .9, name="dzmw"),
mxMatrix("Full", nv, nv, T, svSMZ, "r8", -.2, .9, name="mzfh"),
mxMatrix("Full", nv, nv, T, svSDZ, "r9", -.2, .9, name="dzfh"),
mxMatrix("Full", nv, nv, T, svSDZ, "r10", -.2, .9, name="dzmfh"),
mxMatrix("Full", nv, nv, T, svSDZ, "r11", -.2, .9, name="dzfmw"),
mxMatrix("Full", nv, nv, T, svSSMZ, "r12", -.2, .9, name="wmzmw"),
mxMatrix("Full", nv, nv, T, svSSDZ, "r13", -.2, .9, name="wdzmw"),
mxMatrix("Full", nv, nv, T, svSSMZ, "r14", -.2, .9, name="hmzfh"),
mxMatrix("Full", nv, nv, T, svSSDZ, "r15", -.2, .9, name="hdzfh"),
mxMatrix("Full", nv, nv, T, svSSDZ, "r16", -.2, .9, name="wdzmfh"),
mxMatrix("Full", nv, nv, T, svSI, "r17", -.2, .9, name="sim"),
mxMatrix("Full", nv, nv, T, svSI, "r18", -.2, .9, name="simf"),
mxMatrix("Full", nv, nv, T, svSI, "r19", -.2, .9, name="sif"),
mxMatrix("Full", nv, nv, T, svSSI, "r20", -.2, .9, name="simw"),
mxMatrix("Full", nv, nv, T, svSSI, "r21", -.2, .9, name="sifmw"),
mxMatrix("Full", nv, nv, T, svSSI, "r22", -.2, .9, name="simfh"),
mxMatrix("Full", nv, nv, T, svSSI, "r23", -.2, .9, name="sifh"),
mxAlgebra(rbind(cbind(mv,sim,simf,simf), cbind(t(sim),mv,simf,simf),
cbind(t(simf),t(simf),fv,sif), cbind(t(simf),t(simf),t(sif),fv)), name="bs"), #sibs
mxAlgebra(cbind(sim,sim,simf,simf), name="mtsi"), #male twin-sibs
mxAlgebra(cbind(simf,simf,sif,sif), name="ftsi"), #female twin-sibs
mxAlgebra(rbind(simw,simw,sifmw,sifmw), name="wmtsi"), #male twin wives-sibs
mxAlgebra(rbind(simfh,simfh,sifh,sifh), name="hftsi"), #female twin husbs-sibs
mxMatrix("Full", nv, nv, T, svSP, "r24", -.2, .9, name="mf"),
mxMatrix("Full", nv, nv, T, svPO, "r25", -.2, .9, name="fs"),
mxMatrix("Full", nv, nv, T, svPO, "r26", -.2, .9, name="fd"),
mxMatrix("Full", nv, nv, T, svPO, "r27", -.2, .9, name="ms"),
mxMatrix("Full", nv, nv, T, svPO, "r28", -.2, .9, name="md"),
mxMatrix("Full", nv, nv, T, svSPO, "r29", -.2, .9, name="fsw"),
mxMatrix("Full", nv, nv, T, svSPO, "r30", -.2, .9, name="msw"),
mxMatrix("Full", nv, nv, T, svSPO, "r31", -.2, .9, name="fdh"),
mxMatrix("Full", nv, nv, T, svSPO, "r32", -.2, .9, name="mdh"),
mxAlgebra(rbind(cbind(mv,mf),cbind(t(mf),fv)), name="sp"), #spouse
mxAlgebra(cbind(fs,ms), name="ps"), #parent-son
mxAlgebra(cbind(fd,md), name="pd"), #parent-daughter
mxAlgebra(cbind(fs,fs,fd,fd), name="fo"), #father-offspring
mxAlgebra(cbind(ms,ms,md,md), name="mo"), #mother-offspring
mxAlgebra(rbind(fsw,msw), name="psil"), #parent-son in law
mxAlgebra(rbind(fdh,mdh), name="pdil"), #parent-daughter in law
mxAlgebra(rbind(fo,mo), name="fmo"), #father_mother-offspring
mxMatrix("Full", nv, nv, T, svGP, "r33", -.2, .9, name="gfps"),
mxMatrix("Full", nv, nv, T, svGP, "r34", -.2, .9, name="gmps"),
mxMatrix("Full", nv, nv, T, svGP, "r35", -.2, .9, name="gfpd"),
mxMatrix("Full", nv, nv, T, svGP, "r36", -.2, .9, name="gmpd"),
mxMatrix("Full", nv, nv, T, svGP, "r37", -.2, .9, name="gfms"),
mxMatrix("Full", nv, nv, T, svGP, "r38", -.2, .9, name="gmms"),
mxMatrix("Full", nv, nv, T, svGP, "r39", -.2, .9, name="gfmd"),
mxMatrix("Full", nv, nv, T, svGP, "r40", -.2, .9, name="gmmd"),
mxMatrix("Full", nv, nv, T, svAVMZ, "r41", -.2, .9, name="unemzm"),
mxMatrix("Full", nv, nv, T, svAVMZ, "r42", -.2, .9, name="unimzm"),
mxMatrix("Full", nv, nv, T, svAVMZ, "r43", -.2, .9, name="anemzf"),
mxMatrix("Full", nv, nv, T, svAVMZ, "r44", -.2, .9, name="animzf"),
mxAlgebra(rbind(cbind(gfps,gfps,gfpd,gfpd),
cbind(gmps,gmps,gmpd,gmpd)), name="gpcp"), #grandparent-child paternal
mxAlgebra(rbind(cbind(gfms,gfms,gfmd,gfmd),
cbind(gmms,gmms,gmmd,gmmd)), name="gpcm"), #grandparent-child maternal
mxAlgebra(cbind(unemzm,unemzm,unimzm,unimzm), name="umzm"), #uncles via mzm twins
mxAlgebra(cbind(anemzf,anemzf,animzf,animzf), name="amzf"), #uncles via mzf twins
mxMatrix("Full", nv, nv, T, svAVSI, "r45", -.2, .9, name="unesim"),
mxMatrix("Full", nv, nv, T, svAVSI, "r46", -.2, .9, name="unisim"),
mxMatrix("Full", nv, nv, T, svAVSI, "r47", -.2, .9, name="anesifm"),
mxMatrix("Full", nv, nv, T, svAVSI, "r48", -.2, .9, name="anisifm"),
mxMatrix("Full", nv, nv, T, svAVSI, "r49", -.2, .9, name="unesimf"),
mxMatrix("Full", nv, nv, T, svAVSI, "r50", -.2, .9, name="unisimf"),
mxMatrix("Full", nv, nv, T, svAVSI, "r51", -.2, .9, name="anesif"),
mxMatrix("Full", nv, nv, T, svAVSI, "r52", -.2, .9, name="anisif"),
mxMatrix("Full", nv, nv, T, svAVDZ, "r53", -.2, .9, name="unedzm"),
mxMatrix("Full", nv, nv, T, svAVDZ, "r54", -.2, .9, name="unidzm"),
mxMatrix("Full", nv, nv, T, svAVDZ, "r55", -.2, .9, name="anedzf"),
mxMatrix("Full", nv, nv, T, svAVDZ, "r56", -.2, .9, name="anidzf"),
mxMatrix("Full", nv, nv, T, svAVDZ, "r57", -.2, .9, name="unedzmf"),
mxMatrix("Full", nv, nv, T, svAVDZ, "r58", -.2, .9, name="unidzmf"),
mxMatrix("Full", nv, nv, T, svAVDZ, "r59", -.2, .9, name="anedzmf"),
mxMatrix("Full", nv, nv, T, svAVDZ, "r60", -.2, .9, name="anidzmf"),
mxAlgebra(rbind(cbind(unesim,unisim),cbind(anesifm,anisifm)) %x% xx_xx, name="avsim"), #avuncular via sim
mxAlgebra(rbind(cbind(unesimf,unisimf),cbind(anesif,anisif)) %x% xx_xx, name="avsif"), #avuncular via sif
mxAlgebra(cbind(unedzm,unedzm,unidzm,unidzm), name="udzm"), #uncles via dzm twins
mxAlgebra(cbind(anedzf,anedzf,anidzf,anidzf), name="adzf"), #aunts via dzf twins
mxAlgebra(cbind(unedzmf,unedzmf,unidzmf,unidzmf), name="udzmf"), #uncles via dzmf twins
mxAlgebra(cbind(anedzmf,anedzmf,anidzmf,anidzmf), name="adzmf"), #aunts via dzmf twins
mxMatrix("Full", nv, nv, T, svSAVMZ, "r61", -.2, .9, name="wunemzm"),
mxMatrix("Full", nv, nv, T, svSAVMZ, "r62", -.2, .9, name="wunimzm"),
mxMatrix("Full", nv, nv, T, svSAVMZ, "r63", -.2, .9, name="hanemzf"),
mxMatrix("Full", nv, nv, T, svSAVMZ, "r64", -.2, .9, name="hanimzf"),
mxMatrix("Full", nv, nv, T, svSAVDZ, "r65", -.2, .9, name="wunedzm"),
mxMatrix("Full", nv, nv, T, svSAVDZ, "r66", -.2, .9, name="wunidzm"),
mxMatrix("Full", nv, nv, T, svSAVDZ, "r67", -.2, .9, name="hanedzf"),
mxMatrix("Full", nv, nv, T, svSAVDZ, "r68", -.2, .9, name="hanidzf"),
mxMatrix("Full", nv, nv, T, svSAVDZ, "r69", -.2, .9, name="wunedzmf"),
mxMatrix("Full", nv, nv, T, svSAVDZ, "r70", -.2, .9, name="wunidzmf"),
mxMatrix("Full", nv, nv, T, svSAVDZ, "r71", -.2, .9, name="hanedzmf"),
mxMatrix("Full", nv, nv, T, svSAVDZ, "r72", -.2, .9, name="hanidzmf"),
mxAlgebra(cbind(wunemzm,wunemzm,wunimzm,wunimzm), name="amzm"), #aunts via mzm twins
mxAlgebra(cbind(hanemzf,hanemzf,hanimzf,hanimzf), name="umzf"), #uncles via mzf twins
mxAlgebra(cbind(wunedzm,wunedzm,wunidzm,wunidzm), name="adzm"), #aunts via dzm twins
mxAlgebra(cbind(hanedzf,hanedzf,hanidzf,hanidzf), name="udzf"), #uncles via dzf twins
mxAlgebra(cbind(wunedzmf,wunedzmf,wunidzmf,wunidzmf), name="aidzmf"), #aunts via dzmf twins
mxAlgebra(cbind(hanedzmf,hanedzmf,hanidzmf,hanidzmf), name="uidzmf"), #uncles via dzmf twins
mxMatrix("Full", nv, nv, T, svCOMZ, "r73", -.2, .9, name="commzm"),
mxMatrix("Full", nv, nv, T, svCOMZ, "r74", -.2, .9, name="comfmzm"),
mxMatrix("Full", nv, nv, T, svCOMZ, "r75", -.2, .9, name="cofmzm"),
mxMatrix("Full", nv, nv, T, svCODZ, "r76", -.2, .9, name="comdzm"),
mxMatrix("Full", nv, nv, T, svCODZ, "r77", -.2, .9, name="comfdzm"),
mxMatrix("Full", nv, nv, T, svCODZ, "r78", -.2, .9, name="cofdzm"),
mxMatrix("Full", nv, nv, T, svCOMZ, "r79", -.2, .9, name="commzf"),
mxMatrix("Full", nv, nv, T, svCOMZ, "r80", -.2, .9, name="comfmzf"),
mxMatrix("Full", nv, nv, T, svCOMZ, "r81", -.2, .9, name="cofmzf"),
mxMatrix("Full", nv, nv, T, svCODZ, "r82", -.2, .9, name="comdzf"),
mxMatrix("Full", nv, nv, T, svCODZ, "r83", -.2, .9, name="comfdzf"),
mxMatrix("Full", nv, nv, T, svCODZ, "r84", -.2, .9, name="cofdzf"),
mxMatrix("Full", nv, nv, T, svCODZ, "r85", -.2, .9, name="comdzmf"),
mxMatrix("Full", nv, nv, T, svCODZ, "r86", -.2, .9, name="comfdzmf"),
mxMatrix("Full", nv, nv, T, svCODZ, "r87", -.2, .9, name="cofmdzmf"),
mxMatrix("Full", nv, nv, T, svCODZ, "r88", -.2, .9, name="cofdzmf"),
mxAlgebra(rbind(cbind(commzm,comfmzm),cbind(comfmzm,cofmzm)) %x% xx_xx, name="comzm"), #cousins mzm
mxAlgebra(rbind(cbind(comdzm,comfdzm),cbind(comfdzm,cofdzm)) %x% xx_xx, name="codzm"), #cousins dzm
mxAlgebra(rbind(cbind(commzf,comfmzf),cbind(comfmzf,cofmzf)) %x% xx_xx, name="comzf"), #cousins mzf
mxAlgebra(rbind(cbind(comdzf,comfdzf),cbind(comfdzf,cofdzf)) %x% xx_xx, name="codzf"), #cousins dzf
mxAlgebra(rbind(cbind(comdzmf,comfdzmf),cbind(cofmdzmf,cofdzmf)) %x% xx_xx, name="codzmf"), #cousins dzmf
# t1 t2 pa(fm) si s1 s2 k1 k2
# 1 1 2 4 1 1 4 4
mxAlgebra(rbind(
cbind( mv , mzm , ps , mtsi , mf , mzmw , fo , umzm ),
cbind( t(mzm) , mv , ps , mtsi , mzmw , mf , umzm , fo ),
cbind( t(ps) , t(ps) , sp , fmo , psil , psil , gpcp , gpcp ),
cbind( t(mtsi), t(mtsi), t(fmo) , bs , wmtsi , wmtsi , avsim , avsim ),
cbind( t(mf) , t(mzmw), t(psil), t(wmtsi), fv , wmzmw , mo , amzm ),
cbind( t(mzmw), t(mf) , t(psil), t(wmtsi), t(wmzmw), fv , amzm , mo ),
cbind( t(fo) , t(umzm), t(gpcp), t(avsim), t(mo) , t(amzm), bs , comzm ),
cbind( t(umzm), t(fo) , t(gpcp), t(avsim), t(amzm) , t(mo) , t(comzm), bs )), name="corMZM"),
mxAlgebra(rbind(
cbind( mv , dzm , ps , mtsi , mf , dzmw , fo , udzm ),
cbind( t(dzm) , mv , ps , mtsi , dzmw , mf , udzm , fo ),
cbind( t(ps) , t(ps) , sp , fmo , psil , psil , gpcp , gpcp ),
cbind( t(mtsi), t(mtsi), t(fmo) , bs , wmtsi , wmtsi , avsim , avsim ),
cbind( t(mf) , t(dzmw), t(psil), t(wmtsi), fv , wdzmw , mo , adzm ),
cbind( t(dzmw), t(mf) , t(psil), t(wmtsi), t(wdzmw), fv , adzm , mo ),
cbind( t(fo) , t(udzm), t(gpcp), t(avsim), t(mo) , t(adzm), bs , codzm ),
cbind( t(udzm), t(fo) , t(gpcp), t(avsim), t(adzm) , t(mo) , t(codzm), bs )), name="corDZM"),
mxAlgebra(rbind(
cbind( fv , mzf , pd , ftsi , mf , mzfh , mo , amzf ),
cbind( t(mzf) , fv , pd , ftsi , mzfh , mf , amzf , mo ),
cbind( t(pd) , t(pd) , sp , fmo , pdil , pdil , gpcm , gpcm ),
cbind( t(ftsi), t(ftsi), t(fmo) , bs , hftsi , hftsi , avsif , avsif ),
cbind( t(mf) , t(mzfh), t(pdil), t(hftsi), mv , hmzfh , fo , umzf ),
cbind( t(mzfh), t(mf) , t(pdil), t(hftsi), t(hmzfh), mv , umzf , fo ),
cbind( t(mo) , t(amzf), t(gpcm), t(avsif), t(fo) , t(umzf), bs , comzf ),
cbind( t(amzf), t(mo) , t(gpcm), t(avsif), t(umzf) , t(fo) , t(comzf), bs )), name="corMZF"),
mxAlgebra(rbind(
cbind( fv , dzf , pd , ftsi , mf , dzfh , mo , adzf ),
cbind( t(dzf) , fv , pd , ftsi , dzfh , mf , adzf , mo ),
cbind( t(pd) , t(pd) , sp , fmo , pdil , pdil , gpcm , gpcm ),
cbind( t(ftsi), t(ftsi), t(fmo) , bs , hftsi , hftsi , avsif , avsif ),
cbind( t(mf) , t(dzfh), t(pdil), t(hftsi), mv , hdzfh , fo , udzf ),
cbind( t(dzfh), t(mf) , t(pdil), t(hftsi), t(hdzfh), mv , udzf , fo ),
cbind( t(mo) , t(adzf), t(gpcm), t(avsif), t(fo) , t(udzf), bs , codzf ),
cbind( t(adzf), t(mo) , t(gpcm), t(avsif), t(udzf) , t(fo) , t(codzf), bs )), name="corDZF"),
mxAlgebra(rbind(
cbind( mv , dzmf , ps , mtsi , mf , dzmfh , fo , udzmf ),
cbind( t(dzmf) , fv , pd , ftsi , dzfmw , mf , adzmf , mo ),
cbind( t(ps) , t(pd) , sp , fmo , psil , pdil , gpcp , gpcm ),
cbind( t(mtsi) , t(ftsi) , t(fmo) , bs , wmtsi , hftsi , avsim , avsif ),
cbind( t(mf) , t(dzfmw), t(psil), t(wmtsi), fv , wdzmfh , mo , aidzmf ),
cbind( t(dzmfh), t(mf) , t(pdil), t(hftsi), t(wdzmfh) , mv , uidzmf , fo ),
cbind( t(fo) , t(adzmf), t(gpcp), t(avsim), t(mo) , t(uidzmf), bs , codzmf ),
cbind( t(udzmf), t(mo) , t(gpcm), t(avsif), t(aidzmf) , t(fo) , t(codzmf), bs )), name="corDZO"),
mxMatrix("Full", 1, 16, T, 0, labMeans, -1, 1, name="means16"),
mxMatrix("Full", 1, 2, T, 1.5, labSDevs, 0.0001, 10, name="sdev2"),
mxMatrix("Full", 1, nvr, T, 0, labMeansM, -1, 1, name="meanMZM"),
mxMatrix("Full", 1, nvr, T, 0, labMeansM, -1, 1, name="meanDZM"),
mxMatrix("Full", 1, nvr, T, 0, labMeansF, -1, 1, name="meanMZF"),
mxMatrix("Full", 1, nvr, T, 0, labMeansF, -1, 1, name="meanDZF"),
mxMatrix("Full", 1, nvr, T, 0, labMeansMF, -1, 1, name="meanDZO"),
mxMatrix("Diag", nvr, nvr, T, 1.5, labSDevM, 0.0001, 10, name="sdM"),
mxMatrix("Diag", nvr, nvr, T, 1.5, labSDevF, 0.0001, 10, name="sdF"),
mxMatrix("Diag", nvr, nvr, T, 1.5, labSDevMF, 0.0001, 10, name="sdMF"),
mxAlgebra( sqrt(sdM)%&%corMZM, name="covMZM"),
mxAlgebra( sqrt(sdM)%&%corDZM, name="covDZM"),
mxAlgebra( sqrt(sdF)%&%corMZF, name="covMZF"),
mxAlgebra( sqrt(sdF)%&%corDZF, name="covDZF"),
mxAlgebra( sqrt(sdMF)%&%corDZO, name="covDZO"),
mxAlgebra(rbind(
cbind(mzm,mzf,x,x), #mztwins
cbind(dzm,dzf,dzmf,x), #dztwins
cbind(sim,sif,simf,x), #siblings
cbind(fs,md,fd,ms), #parents
cbind(gfps,gmpd,gfpd,gmps), #grandparents
cbind(gfms,gmmd,gfmd,gmms), #grandparents
cbind(unemzm,x,unimzm,x), #avuncular mz twin
cbind(x,animzf,x,anemzf), #avuncular mz twin
cbind(unedzm,anidzmf,unidzm,anedzmf), #avuncular dz twin
cbind(unedzmf,anidzf,unidzmf,anedzf), #avuncular dz twin
cbind(unesim,anisifm,unisim,anesifm), #avuncular sibs
cbind(unesimf,anisif,unisimf,anesif), #avuncular sibs
cbind(commzm,cofmzm,comfmzm,x), #cousins mzm
cbind(commzf,cofmzf,comfmzf,x), #cousins mzf
cbind(comdzm,cofdzm,comfdzm,x), #cousins dzm
cbind(comdzf,cofdzf,comfdzf,x), #cousins dzf
cbind(comdzmf,cofdzmf,comfdzmf,cofmdzmf), #cousins dzmf
cbind(x,x,mf,x), #spouses
cbind(x,x,mzmw,mzfh), #spouse w mz cotwin
cbind(dzmfh,dzfmw,dzmw,dzfh), #spouse w dz cotwin
cbind(simfh,sifmw,simw,sifh), #spouses w siblings
cbind(fdh,msw,fsw,mdh), #spouses w parents
cbind(hmzfh,wmzmw,x,x), #spouse w spouse of mz cotwin
cbind(hdzfh,wdzmw,wdzmfh,x), #spouse w spouse of dz cotwin
cbind(x,wunimzm,x,wunemzm), #spouse w avuncular mz twin
cbind(hanemzf,x,hanimzf,x), #spouse w avuncular mz twin
cbind(hanedzmf,wunidzm,hanidzmf,wunedzm), #spouse w avuncular dz twin
cbind(hanedzf,wunidzmf,hanidzf,wunedzmf)), #spouse w avuncular dz twin
name="expCor"),
# c('mztw','dztw','si','pc','gpp','gpm','amzp','amzm','adzp','adzm','asip','asim',
# 'comzm','comzf','codzm','codzf','codzmf','sp','smztw','sdztw','ssi','spa',
# 'sspmz','sspdz','samzp','samzm','sadzp','sadzm'),
# c('Mm','Ff','Mf','Fm')'
# mxMatrix("Full", 1, 5, F, .0001, name="cnstrPos"),
# mxAlgebra(cbind(min(Re(eigen(mzmef, only.values=T)$values)),
# min(Re(eigen(dzmef, only.values=T)$values)),
# min(Re(eigen(mzfef, only.values=T)$values)),
# min(Re(eigen(dzfef, only.values=T)$values)),
# min(Re(eigen(dzmfef, only.values=T)$values))), name="minCor"),
# mxConstraint('minCor',">",'cnstrPos', name="constr"),
mxModel("MZM",
mxData( observed=dataMZM, type="raw" ),
mxFitFunctionML(),mxExpectationNormal( covariance="et.covMZM", means="et.meanMZM", dimnames=selVars ) ),
mxModel("DZM",
mxData( observed=dataDZM, type="raw" ),
mxFitFunctionML(),mxExpectationNormal( covariance="et.covDZM", means="et.meanDZM", dimnames=selVars ) ),
mxModel("MZF",
mxData( observed=dataMZF, type="raw" ),
mxFitFunctionML(),mxExpectationNormal( covariance="et.covMZF", means="et.meanMZF", dimnames=selVars ) ),
mxModel("DZF",
mxData( observed=dataDZF, type="raw" ),
mxFitFunctionML(),mxExpectationNormal( covariance="et.covDZF", means="et.meanDZF", dimnames=selVars ) ),
mxModel("DZO",
mxData( observed=dataDZO, type="raw" ),
mxFitFunctionML(),mxExpectationNormal( covariance="et.covDZO", means="et.meanDZO", dimnames=selVars ) ),
mxAlgebra( expression=MZM.objective + DZM.objective + MZF.objective + DZF.objective + DZO.objective, name="m2LL" ),
mxFitFunctionAlgebra("m2LL")
)
# Run Model and Generate Output
# -----------------------------------------------------------------------
etc88Model <- mxOption(etc88Model,"Standard Errors", "No")
etc88Model <- mxOption(etc88Model,"Calculate Hessian", "No")
etc88Model <- mxOption(etc88Model,"max minutes", 5/60)
etc88Fit <- omxCheckWarning(mxRun(etc88Model), "Time limit of 0 minutes 5 seconds exceeded")
etc88Fit <- mxOption(etc88Fit,"max minutes", 0)
etc88Fit <- mxRun(etc88Fit)
summary(etc88Fit)
#Compare OpenMx results to Mx results
# -----------------------------------------------------------------------
omxCheckCloseEnough(etc88Fit$output$Minus,161045.203,0.05)
omxCheckCloseEnough(etc88Fit$output$estimate[["SDm"]],1.3359,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["SDf"]],1.3381,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["MT1"]],0.0112,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["FT1"]],-0.0098,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["MT2"]],-0.0029,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["FT2"]],-0.0070,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["FA"]],0.0216,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["MO"]],-0.0051,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["MS"]],-0.0070,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["FS"]],-0.0087,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["MS1"]],-0.0311,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["FS1"]],0.0147,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["MS2"]],0.0389,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["FS2"]],0.0301,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["MC1"]],-0.0441,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["FC1"]],0.0064,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["MC2"]],-0.0062,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["FC2"]],-0.0194,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["r1"]],0.7690,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["r2"]],0.5700,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["r3"]],0.7802,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["r4"]],0.5711,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["r5"]],0.5656,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["r6"]],-0.0116,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["r7"]],-0.0079,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["r8"]],-0.0240,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["r9"]],-0.0166,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["r10"]],0.0395,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["r11"]],-0.0185,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["r12"]],-0.0765,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["r13"]],0.0802,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["r14"]],-0.0636,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["r15"]],-0.0106,0.02)
omxCheckCloseEnough(etc88Fit$output$estimate[["r16"]],-0.0116,0.01)
omxCheckCloseEnough(etc88Fit$output$estimate[["r17"]],0.5479,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["r18"]],0.5426,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["r19"]],0.5506,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["r20"]],0.0100,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["r21"]],-0.0335,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["r22"]],0.0046,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["r23"]],0.0123,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["r24"]],0.0002,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["r25"]],0.4808,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["r26"]],0.4749,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["r27"]],0.4772,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["r28"]],0.4772,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["r29"]],-0.0171,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["r30"]],-0.0379,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["r31"]],0.0170,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["r32"]],0.0056,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["r33"]],0.2290,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["r34"]],0.2380,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["r35"]],0.2249,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["r36"]],0.2152,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["r37"]],0.2906,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["r38"]],0.2304,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["r39"]],0.2927,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["r40"]],0.1820,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["r41"]],0.4355,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["r42"]],0.4039,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["r43"]],0.3830,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["r44"]],0.3901,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["r45"]],0.2425,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["r46"]],0.3052,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["r47"]],0.2942,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["r48"]],0.2703,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["r49"]],0.3330,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["r50"]],0.3094,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["r51"]],0.3039,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["r52"]],0.2393,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["r53"]],0.3343,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["r54"]],0.3363,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["r55"]],0.3186,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["r56"]],0.2931,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["r57"]],0.2704,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["r58"]],0.2629,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["r59"]],0.2592,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["r60"]],0.3215,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["r61"]],-0.0454,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["r62"]],-0.0147,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["r63"]],0.0213,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["r64"]],-0.0828,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["r65"]],0.0350,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["r66"]],-0.0466,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["r67"]],-0.0637,0.01)
omxCheckCloseEnough(etc88Fit$output$estimate[["r68"]],0.0594,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["r69"]],0.0177,0.01)
omxCheckCloseEnough(etc88Fit$output$estimate[["r70"]],-0.1113,0.02)
omxCheckCloseEnough(etc88Fit$output$estimate[["r71"]],-0.0262,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["r72"]],0.0509,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["r73"]],0.3495,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["r74"]],0.1425,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["r75"]],0.1506,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["r76"]],0.2102,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["r77"]],0.1577,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["r78"]],0.2218,0.01)
omxCheckCloseEnough(etc88Fit$output$estimate[["r79"]],0.2716,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["r80"]],0.1927,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["r81"]],0.3341,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["r82"]],0.2338,0.01)
omxCheckCloseEnough(etc88Fit$output$estimate[["r83"]],0.3007,0.01)
omxCheckCloseEnough(etc88Fit$output$estimate[["r84"]],0.4257,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["r85"]],0.0313,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["r86"]],0.1701,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["r87"]],0.0906,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["r88"]],0.0521,0.01)
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# -----------------------------------------------------------------------
# Program: ETC88.R
# Author: Hermine Maes
# Date: 01 07 2010
#
# Estimating Extended Twin-kinship (ET) ML Correlations
#
# Revision History
# Hermine Maes -- 01 07 2010 updated & reformatted
# Hermine Maes -- 08 31 2010 updated with changes from EC88ccT5.R
# Hermine Maes -- 09 15 2010 updated with changes from EC88cc2TST5.R
# -----------------------------------------------------------------------
require(OpenMx)
if (mxOption(NULL, "Default optimizer") == 'NPSOL') stop('SKIP')
# Prepare Data
# -----------------------------------------------------------------------!
EtVars <- c('famid','e1','e2','e3','e4','e5','e6','e7','e8','e9','e10',
'e11','e12','e13','e14','e15','e16','e17','e18',
'a1','a2','a3','a4','a5','a6','a7','a8','a9',
'a10','a11','a12','a13','a14','a15','a16','a17','a18')
data(mzmData)
data(dzmData)
data(mzfData)
data(dzfData)
data(dzoData)
dataMZM <- mzmData[2:19]
dataDZM <- dzmData[2:19]
dataMZF <- mzfData[2:19]
dataDZF <- dzfData[2:19]
dataDZO <- dzoData[2:19]
# Prepare Labels
# -----------------------------------------------------------------------!
selVars <-c('e1','e2','e3','e4','e5','e6','e7','e8','e9','e10','e11','e12','e13','e14','e15','e16','e17','e18')
Mpsi <- c('FA','MO','MS','MS','FS','FS')
Mtwc <- c('MC1','MC1','FC1','FC1','MC2','MC2','FC2','FC2')
labMeansM <- c('MT1','MT2',Mpsi,'FS1','FS2',Mtwc)
labMeansF <- c('FT1','FT2',Mpsi,'MS1','MS2',Mtwc)
labMeansMF <- c('MT1','FT2',Mpsi,'FS1','MS2',Mtwc)
labMeans <- c('MT1','FT1','MT2','FT2','FA','MO','MS','FS','MS1','FS1','MS2','FS2','MC1','FC1','MC2','FC2')
labMeans10 <- c('MT','FT','FA','MO','MS','FS','MP','FP','MC','FC')
SDpsi <- c('SDm','SDf','SDm','SDm','SDf','SDf')
SDtwc <- c('SDm','SDm','SDf','SDf','SDm','SDm','SDf','SDf')
labSDevM <- c('SDm','SDm',SDpsi,'SDf','SDf',SDtwc)
labSDevF <- c('SDf','SDf',SDpsi,'SDm','SDm',SDtwc)
labSDevMF <- c('SDm','SDf',SDpsi,'SDf','SDm',SDtwc)
labSDevs <- c('SDm','SDf')
# Prepare Start Values
# -----------------------------------------------------------------------!
svMZ <- 0.8
svDZ <- 0.4
svSMZ <- 0.1
svSDZ <- 0.1
svSSMZ <- 0.1
svSSDZ <- 0.1
svSI <- 0.4
svSSI <- 0.1
svSP <- 0.1
svPO <- 0.4
svSPO <- 0.1
svGP <- 0.2
svAVMZ <- 0.2
svAVSI <- 0.1
svAVDZ <- 0.1
svSAVMZ <- 0.1
svSAVDZ <- 0.1
svCOMZ <- 0.2
svCODZ <- 0.1
ns <- 2 # number of sibs/kids
nvr <- 18 # number of variables in expected means/covariances
nv <- 1 # number of variables analyzed
# Specify Model Matrices and Algebra
# -----------------------------------------------------------------------!
etc88Model <- mxModel("et",
mxMatrix("Full", 1, 1, F, 9, name="x"),
mxMatrix("Unit", ns,ns, name="xx_xx"),
mxMatrix("Full", nv, nv, F, 1, name="mv"),
mxMatrix("Full", nv, nv, F, 1, name="fv"),
mxMatrix("Full", nv, nv, T, svMZ, "r1", -.2, .9, name="mzm"),
mxMatrix("Full", nv, nv, T, svDZ, "r2", -.2, .9, name="dzm"),
mxMatrix("Full", nv, nv, T, svMZ, "r3", -.2, .9, name="mzf"),
mxMatrix("Full", nv, nv, T, svDZ, "r4", -.2, .9, name="dzf"),
mxMatrix("Full", nv, nv, T, svDZ, "r5", -.2, .9, name="dzmf"),
mxMatrix("Full", nv, nv, T, svSMZ, "r6", -.2, .9, name="mzmw"),
mxMatrix("Full", nv, nv, T, svSDZ, "r7", -.2, .9, name="dzmw"),
mxMatrix("Full", nv, nv, T, svSMZ, "r8", -.2, .9, name="mzfh"),
mxMatrix("Full", nv, nv, T, svSDZ, "r9", -.2, .9, name="dzfh"),
mxMatrix("Full", nv, nv, T, svSDZ, "r10", -.2, .9, name="dzmfh"),
mxMatrix("Full", nv, nv, T, svSDZ, "r11", -.2, .9, name="dzfmw"),
mxMatrix("Full", nv, nv, T, svSSMZ, "r12", -.2, .9, name="wmzmw"),
mxMatrix("Full", nv, nv, T, svSSDZ, "r13", -.2, .9, name="wdzmw"),
mxMatrix("Full", nv, nv, T, svSSMZ, "r14", -.2, .9, name="hmzfh"),
mxMatrix("Full", nv, nv, T, svSSDZ, "r15", -.2, .9, name="hdzfh"),
mxMatrix("Full", nv, nv, T, svSSDZ, "r16", -.2, .9, name="wdzmfh"),
mxMatrix("Full", nv, nv, T, svSI, "r17", -.2, .9, name="sim"),
mxMatrix("Full", nv, nv, T, svSI, "r18", -.2, .9, name="simf"),
mxMatrix("Full", nv, nv, T, svSI, "r19", -.2, .9, name="sif"),
mxMatrix("Full", nv, nv, T, svSSI, "r20", -.2, .9, name="simw"),
mxMatrix("Full", nv, nv, T, svSSI, "r21", -.2, .9, name="sifmw"),
mxMatrix("Full", nv, nv, T, svSSI, "r22", -.2, .9, name="simfh"),
mxMatrix("Full", nv, nv, T, svSSI, "r23", -.2, .9, name="sifh"),
mxAlgebra(rbind(cbind(mv,sim,simf,simf), cbind(t(sim),mv,simf,simf),
cbind(t(simf),t(simf),fv,sif), cbind(t(simf),t(simf),t(sif),fv)), name="bs"), #sibs
mxAlgebra(cbind(sim,sim,simf,simf), name="mtsi"), #male twin-sibs
mxAlgebra(cbind(simf,simf,sif,sif), name="ftsi"), #female twin-sibs
mxAlgebra(rbind(simw,simw,sifmw,sifmw), name="wmtsi"), #male twin wives-sibs
mxAlgebra(rbind(simfh,simfh,sifh,sifh), name="hftsi"), #female twin husbs-sibs
mxMatrix("Full", nv, nv, T, svSP, "r24", -.2, .9, name="mf"),
mxMatrix("Full", nv, nv, T, svPO, "r25", -.2, .9, name="fs"),
mxMatrix("Full", nv, nv, T, svPO, "r26", -.2, .9, name="fd"),
mxMatrix("Full", nv, nv, T, svPO, "r27", -.2, .9, name="ms"),
mxMatrix("Full", nv, nv, T, svPO, "r28", -.2, .9, name="md"),
mxMatrix("Full", nv, nv, T, svSPO, "r29", -.2, .9, name="fsw"),
mxMatrix("Full", nv, nv, T, svSPO, "r30", -.2, .9, name="msw"),
mxMatrix("Full", nv, nv, T, svSPO, "r31", -.2, .9, name="fdh"),
mxMatrix("Full", nv, nv, T, svSPO, "r32", -.2, .9, name="mdh"),
mxAlgebra(rbind(cbind(mv,mf),cbind(t(mf),fv)), name="sp"), #spouse
mxAlgebra(cbind(fs,ms), name="ps"), #parent-son
mxAlgebra(cbind(fd,md), name="pd"), #parent-daughter
mxAlgebra(cbind(fs,fs,fd,fd), name="fo"), #father-offspring
mxAlgebra(cbind(ms,ms,md,md), name="mo"), #mother-offspring
mxAlgebra(rbind(fsw,msw), name="psil"), #parent-son in law
mxAlgebra(rbind(fdh,mdh), name="pdil"), #parent-daughter in law
mxAlgebra(rbind(fo,mo), name="fmo"), #father_mother-offspring
mxMatrix("Full", nv, nv, T, svGP, "r33", -.2, .9, name="gfps"),
mxMatrix("Full", nv, nv, T, svGP, "r34", -.2, .9, name="gmps"),
mxMatrix("Full", nv, nv, T, svGP, "r35", -.2, .9, name="gfpd"),
mxMatrix("Full", nv, nv, T, svGP, "r36", -.2, .9, name="gmpd"),
mxMatrix("Full", nv, nv, T, svGP, "r37", -.2, .9, name="gfms"),
mxMatrix("Full", nv, nv, T, svGP, "r38", -.2, .9, name="gmms"),
mxMatrix("Full", nv, nv, T, svGP, "r39", -.2, .9, name="gfmd"),
mxMatrix("Full", nv, nv, T, svGP, "r40", -.2, .9, name="gmmd"),
mxMatrix("Full", nv, nv, T, svAVMZ, "r41", -.2, .9, name="unemzm"),
mxMatrix("Full", nv, nv, T, svAVMZ, "r42", -.2, .9, name="unimzm"),
mxMatrix("Full", nv, nv, T, svAVMZ, "r43", -.2, .9, name="anemzf"),
mxMatrix("Full", nv, nv, T, svAVMZ, "r44", -.2, .9, name="animzf"),
mxAlgebra(rbind(cbind(gfps,gfps,gfpd,gfpd),
cbind(gmps,gmps,gmpd,gmpd)), name="gpcp"), #grandparent-child paternal
mxAlgebra(rbind(cbind(gfms,gfms,gfmd,gfmd),
cbind(gmms,gmms,gmmd,gmmd)), name="gpcm"), #grandparent-child maternal
mxAlgebra(cbind(unemzm,unemzm,unimzm,unimzm), name="umzm"), #uncles via mzm twins
mxAlgebra(cbind(anemzf,anemzf,animzf,animzf), name="amzf"), #uncles via mzf twins
mxMatrix("Full", nv, nv, T, svAVSI, "r45", -.2, .9, name="unesim"),
mxMatrix("Full", nv, nv, T, svAVSI, "r46", -.2, .9, name="unisim"),
mxMatrix("Full", nv, nv, T, svAVSI, "r47", -.2, .9, name="anesifm"),
mxMatrix("Full", nv, nv, T, svAVSI, "r48", -.2, .9, name="anisifm"),
mxMatrix("Full", nv, nv, T, svAVSI, "r49", -.2, .9, name="unesimf"),
mxMatrix("Full", nv, nv, T, svAVSI, "r50", -.2, .9, name="unisimf"),
mxMatrix("Full", nv, nv, T, svAVSI, "r51", -.2, .9, name="anesif"),
mxMatrix("Full", nv, nv, T, svAVSI, "r52", -.2, .9, name="anisif"),
mxMatrix("Full", nv, nv, T, svAVDZ, "r53", -.2, .9, name="unedzm"),
mxMatrix("Full", nv, nv, T, svAVDZ, "r54", -.2, .9, name="unidzm"),
mxMatrix("Full", nv, nv, T, svAVDZ, "r55", -.2, .9, name="anedzf"),
mxMatrix("Full", nv, nv, T, svAVDZ, "r56", -.2, .9, name="anidzf"),
mxMatrix("Full", nv, nv, T, svAVDZ, "r57", -.2, .9, name="unedzmf"),
mxMatrix("Full", nv, nv, T, svAVDZ, "r58", -.2, .9, name="unidzmf"),
mxMatrix("Full", nv, nv, T, svAVDZ, "r59", -.2, .9, name="anedzmf"),
mxMatrix("Full", nv, nv, T, svAVDZ, "r60", -.2, .9, name="anidzmf"),
mxAlgebra(rbind(cbind(unesim,unisim),cbind(anesifm,anisifm)) %x% xx_xx, name="avsim"), #avuncular via sim
mxAlgebra(rbind(cbind(unesimf,unisimf),cbind(anesif,anisif)) %x% xx_xx, name="avsif"), #avuncular via sif
mxAlgebra(cbind(unedzm,unedzm,unidzm,unidzm), name="udzm"), #uncles via dzm twins
mxAlgebra(cbind(anedzf,anedzf,anidzf,anidzf), name="adzf"), #aunts via dzf twins
mxAlgebra(cbind(unedzmf,unedzmf,unidzmf,unidzmf), name="udzmf"), #uncles via dzmf twins
mxAlgebra(cbind(anedzmf,anedzmf,anidzmf,anidzmf), name="adzmf"), #aunts via dzmf twins
mxMatrix("Full", nv, nv, T, svSAVMZ, "r61", -.2, .9, name="wunemzm"),
mxMatrix("Full", nv, nv, T, svSAVMZ, "r62", -.2, .9, name="wunimzm"),
mxMatrix("Full", nv, nv, T, svSAVMZ, "r63", -.2, .9, name="hanemzf"),
mxMatrix("Full", nv, nv, T, svSAVMZ, "r64", -.2, .9, name="hanimzf"),
mxMatrix("Full", nv, nv, T, svSAVDZ, "r65", -.2, .9, name="wunedzm"),
mxMatrix("Full", nv, nv, T, svSAVDZ, "r66", -.2, .9, name="wunidzm"),
mxMatrix("Full", nv, nv, T, svSAVDZ, "r67", -.2, .9, name="hanedzf"),
mxMatrix("Full", nv, nv, T, svSAVDZ, "r68", -.2, .9, name="hanidzf"),
mxMatrix("Full", nv, nv, T, svSAVDZ, "r69", -.2, .9, name="wunedzmf"),
mxMatrix("Full", nv, nv, T, svSAVDZ, "r70", -.2, .9, name="wunidzmf"),
mxMatrix("Full", nv, nv, T, svSAVDZ, "r71", -.2, .9, name="hanedzmf"),
mxMatrix("Full", nv, nv, T, svSAVDZ, "r72", -.2, .9, name="hanidzmf"),
mxAlgebra(cbind(wunemzm,wunemzm,wunimzm,wunimzm), name="amzm"), #aunts via mzm twins
mxAlgebra(cbind(hanemzf,hanemzf,hanimzf,hanimzf), name="umzf"), #uncles via mzf twins
mxAlgebra(cbind(wunedzm,wunedzm,wunidzm,wunidzm), name="adzm"), #aunts via dzm twins
mxAlgebra(cbind(hanedzf,hanedzf,hanidzf,hanidzf), name="udzf"), #uncles via dzf twins
mxAlgebra(cbind(wunedzmf,wunedzmf,wunidzmf,wunidzmf), name="aidzmf"), #aunts via dzmf twins
mxAlgebra(cbind(hanedzmf,hanedzmf,hanidzmf,hanidzmf), name="uidzmf"), #uncles via dzmf twins
mxMatrix("Full", nv, nv, T, svCOMZ, "r73", -.2, .9, name="commzm"),
mxMatrix("Full", nv, nv, T, svCOMZ, "r74", -.2, .9, name="comfmzm"),
mxMatrix("Full", nv, nv, T, svCOMZ, "r75", -.2, .9, name="cofmzm"),
mxMatrix("Full", nv, nv, T, svCODZ, "r76", -.2, .9, name="comdzm"),
mxMatrix("Full", nv, nv, T, svCODZ, "r77", -.2, .9, name="comfdzm"),
mxMatrix("Full", nv, nv, T, svCODZ, "r78", -.2, .9, name="cofdzm"),
mxMatrix("Full", nv, nv, T, svCOMZ, "r79", -.2, .9, name="commzf"),
mxMatrix("Full", nv, nv, T, svCOMZ, "r80", -.2, .9, name="comfmzf"),
mxMatrix("Full", nv, nv, T, svCOMZ, "r81", -.2, .9, name="cofmzf"),
mxMatrix("Full", nv, nv, T, svCODZ, "r82", -.2, .9, name="comdzf"),
mxMatrix("Full", nv, nv, T, svCODZ, "r83", -.2, .9, name="comfdzf"),
mxMatrix("Full", nv, nv, T, svCODZ, "r84", -.2, .9, name="cofdzf"),
mxMatrix("Full", nv, nv, T, svCODZ, "r85", -.2, .9, name="comdzmf"),
mxMatrix("Full", nv, nv, T, svCODZ, "r86", -.2, .9, name="comfdzmf"),
mxMatrix("Full", nv, nv, T, svCODZ, "r87", -.2, .9, name="cofmdzmf"),
mxMatrix("Full", nv, nv, T, svCODZ, "r88", -.2, .9, name="cofdzmf"),
mxAlgebra(rbind(cbind(commzm,comfmzm),cbind(comfmzm,cofmzm)) %x% xx_xx, name="comzm"), #cousins mzm
mxAlgebra(rbind(cbind(comdzm,comfdzm),cbind(comfdzm,cofdzm)) %x% xx_xx, name="codzm"), #cousins dzm
mxAlgebra(rbind(cbind(commzf,comfmzf),cbind(comfmzf,cofmzf)) %x% xx_xx, name="comzf"), #cousins mzf
mxAlgebra(rbind(cbind(comdzf,comfdzf),cbind(comfdzf,cofdzf)) %x% xx_xx, name="codzf"), #cousins dzf
mxAlgebra(rbind(cbind(comdzmf,comfdzmf),cbind(cofmdzmf,cofdzmf)) %x% xx_xx, name="codzmf"), #cousins dzmf
# t1 t2 pa(fm) si s1 s2 k1 k2
# 1 1 2 4 1 1 4 4
mxAlgebra(rbind(
cbind( mv , mzm , ps , mtsi , mf , mzmw , fo , umzm ),
cbind( t(mzm) , mv , ps , mtsi , mzmw , mf , umzm , fo ),
cbind( t(ps) , t(ps) , sp , fmo , psil , psil , gpcp , gpcp ),
cbind( t(mtsi), t(mtsi), t(fmo) , bs , wmtsi , wmtsi , avsim , avsim ),
cbind( t(mf) , t(mzmw), t(psil), t(wmtsi), fv , wmzmw , mo , amzm ),
cbind( t(mzmw), t(mf) , t(psil), t(wmtsi), t(wmzmw), fv , amzm , mo ),
cbind( t(fo) , t(umzm), t(gpcp), t(avsim), t(mo) , t(amzm), bs , comzm ),
cbind( t(umzm), t(fo) , t(gpcp), t(avsim), t(amzm) , t(mo) , t(comzm), bs )), name="corMZM"),
mxAlgebra(rbind(
cbind( mv , dzm , ps , mtsi , mf , dzmw , fo , udzm ),
cbind( t(dzm) , mv , ps , mtsi , dzmw , mf , udzm , fo ),
cbind( t(ps) , t(ps) , sp , fmo , psil , psil , gpcp , gpcp ),
cbind( t(mtsi), t(mtsi), t(fmo) , bs , wmtsi , wmtsi , avsim , avsim ),
cbind( t(mf) , t(dzmw), t(psil), t(wmtsi), fv , wdzmw , mo , adzm ),
cbind( t(dzmw), t(mf) , t(psil), t(wmtsi), t(wdzmw), fv , adzm , mo ),
cbind( t(fo) , t(udzm), t(gpcp), t(avsim), t(mo) , t(adzm), bs , codzm ),
cbind( t(udzm), t(fo) , t(gpcp), t(avsim), t(adzm) , t(mo) , t(codzm), bs )), name="corDZM"),
mxAlgebra(rbind(
cbind( fv , mzf , pd , ftsi , mf , mzfh , mo , amzf ),
cbind( t(mzf) , fv , pd , ftsi , mzfh , mf , amzf , mo ),
cbind( t(pd) , t(pd) , sp , fmo , pdil , pdil , gpcm , gpcm ),
cbind( t(ftsi), t(ftsi), t(fmo) , bs , hftsi , hftsi , avsif , avsif ),
cbind( t(mf) , t(mzfh), t(pdil), t(hftsi), mv , hmzfh , fo , umzf ),
cbind( t(mzfh), t(mf) , t(pdil), t(hftsi), t(hmzfh), mv , umzf , fo ),
cbind( t(mo) , t(amzf), t(gpcm), t(avsif), t(fo) , t(umzf), bs , comzf ),
cbind( t(amzf), t(mo) , t(gpcm), t(avsif), t(umzf) , t(fo) , t(comzf), bs )), name="corMZF"),
mxAlgebra(rbind(
cbind( fv , dzf , pd , ftsi , mf , dzfh , mo , adzf ),
cbind( t(dzf) , fv , pd , ftsi , dzfh , mf , adzf , mo ),
cbind( t(pd) , t(pd) , sp , fmo , pdil , pdil , gpcm , gpcm ),
cbind( t(ftsi), t(ftsi), t(fmo) , bs , hftsi , hftsi , avsif , avsif ),
cbind( t(mf) , t(dzfh), t(pdil), t(hftsi), mv , hdzfh , fo , udzf ),
cbind( t(dzfh), t(mf) , t(pdil), t(hftsi), t(hdzfh), mv , udzf , fo ),
cbind( t(mo) , t(adzf), t(gpcm), t(avsif), t(fo) , t(udzf), bs , codzf ),
cbind( t(adzf), t(mo) , t(gpcm), t(avsif), t(udzf) , t(fo) , t(codzf), bs )), name="corDZF"),
mxAlgebra(rbind(
cbind( mv , dzmf , ps , mtsi , mf , dzmfh , fo , udzmf ),
cbind( t(dzmf) , fv , pd , ftsi , dzfmw , mf , adzmf , mo ),
cbind( t(ps) , t(pd) , sp , fmo , psil , pdil , gpcp , gpcm ),
cbind( t(mtsi) , t(ftsi) , t(fmo) , bs , wmtsi , hftsi , avsim , avsif ),
cbind( t(mf) , t(dzfmw), t(psil), t(wmtsi), fv , wdzmfh , mo , aidzmf ),
cbind( t(dzmfh), t(mf) , t(pdil), t(hftsi), t(wdzmfh) , mv , uidzmf , fo ),
cbind( t(fo) , t(adzmf), t(gpcp), t(avsim), t(mo) , t(uidzmf), bs , codzmf ),
cbind( t(udzmf), t(mo) , t(gpcm), t(avsif), t(aidzmf) , t(fo) , t(codzmf), bs )), name="corDZO"),
mxMatrix("Full", 1, 16, T, 0, labMeans, -1, 1, name="means16"),
mxMatrix("Full", 1, 2, T, 1.5, labSDevs, 0.0001, 10, name="sdev2"),
mxMatrix("Full", 1, nvr, T, 0, labMeansM, -1, 1, name="meanMZM"),
mxMatrix("Full", 1, nvr, T, 0, labMeansM, -1, 1, name="meanDZM"),
mxMatrix("Full", 1, nvr, T, 0, labMeansF, -1, 1, name="meanMZF"),
mxMatrix("Full", 1, nvr, T, 0, labMeansF, -1, 1, name="meanDZF"),
mxMatrix("Full", 1, nvr, T, 0, labMeansMF, -1, 1, name="meanDZO"),
mxMatrix("Diag", nvr, nvr, T, 1.5, labSDevM, 0.0001, 10, name="sdM"),
mxMatrix("Diag", nvr, nvr, T, 1.5, labSDevF, 0.0001, 10, name="sdF"),
mxMatrix("Diag", nvr, nvr, T, 1.5, labSDevMF, 0.0001, 10, name="sdMF"),
mxAlgebra( sqrt(sdM)%&%corMZM, name="covMZM"),
mxAlgebra( sqrt(sdM)%&%corDZM, name="covDZM"),
mxAlgebra( sqrt(sdF)%&%corMZF, name="covMZF"),
mxAlgebra( sqrt(sdF)%&%corDZF, name="covDZF"),
mxAlgebra( sqrt(sdMF)%&%corDZO, name="covDZO"),
mxAlgebra(rbind(
cbind(mzm,mzf,x,x), #mztwins
cbind(dzm,dzf,dzmf,x), #dztwins
cbind(sim,sif,simf,x), #siblings
cbind(fs,md,fd,ms), #parents
cbind(gfps,gmpd,gfpd,gmps), #grandparents
cbind(gfms,gmmd,gfmd,gmms), #grandparents
cbind(unemzm,x,unimzm,x), #avuncular mz twin
cbind(x,animzf,x,anemzf), #avuncular mz twin
cbind(unedzm,anidzmf,unidzm,anedzmf), #avuncular dz twin
cbind(unedzmf,anidzf,unidzmf,anedzf), #avuncular dz twin
cbind(unesim,anisifm,unisim,anesifm), #avuncular sibs
cbind(unesimf,anisif,unisimf,anesif), #avuncular sibs
cbind(commzm,cofmzm,comfmzm,x), #cousins mzm
cbind(commzf,cofmzf,comfmzf,x), #cousins mzf
cbind(comdzm,cofdzm,comfdzm,x), #cousins dzm
cbind(comdzf,cofdzf,comfdzf,x), #cousins dzf
cbind(comdzmf,cofdzmf,comfdzmf,cofmdzmf), #cousins dzmf
cbind(x,x,mf,x), #spouses
cbind(x,x,mzmw,mzfh), #spouse w mz cotwin
cbind(dzmfh,dzfmw,dzmw,dzfh), #spouse w dz cotwin
cbind(simfh,sifmw,simw,sifh), #spouses w siblings
cbind(fdh,msw,fsw,mdh), #spouses w parents
cbind(hmzfh,wmzmw,x,x), #spouse w spouse of mz cotwin
cbind(hdzfh,wdzmw,wdzmfh,x), #spouse w spouse of dz cotwin
cbind(x,wunimzm,x,wunemzm), #spouse w avuncular mz twin
cbind(hanemzf,x,hanimzf,x), #spouse w avuncular mz twin
cbind(hanedzmf,wunidzm,hanidzmf,wunedzm), #spouse w avuncular dz twin
cbind(hanedzf,wunidzmf,hanidzf,wunedzmf)), #spouse w avuncular dz twin
name="expCor"),
# c('mztw','dztw','si','pc','gpp','gpm','amzp','amzm','adzp','adzm','asip','asim',
# 'comzm','comzf','codzm','codzf','codzmf','sp','smztw','sdztw','ssi','spa',
# 'sspmz','sspdz','samzp','samzm','sadzp','sadzm'),
# c('Mm','Ff','Mf','Fm')'
# mxMatrix("Full", 1, 5, F, .0001, name="cnstrPos"),
# mxAlgebra(cbind(min(Re(eigen(mzmef, only.values=T)$values)),
# min(Re(eigen(dzmef, only.values=T)$values)),
# min(Re(eigen(mzfef, only.values=T)$values)),
# min(Re(eigen(dzfef, only.values=T)$values)),
# min(Re(eigen(dzmfef, only.values=T)$values))), name="minCor"),
# mxConstraint('minCor',">",'cnstrPos', name="constr"),
mxModel("MZM",
mxData( observed=dataMZM, type="raw" ),
mxFitFunctionML(),mxExpectationNormal( covariance="et.covMZM", means="et.meanMZM", dimnames=selVars ) ),
mxModel("DZM",
mxData( observed=dataDZM, type="raw" ),
mxFitFunctionML(),mxExpectationNormal( covariance="et.covDZM", means="et.meanDZM", dimnames=selVars ) ),
mxModel("MZF",
mxData( observed=dataMZF, type="raw" ),
mxFitFunctionML(),mxExpectationNormal( covariance="et.covMZF", means="et.meanMZF", dimnames=selVars ) ),
mxModel("DZF",
mxData( observed=dataDZF, type="raw" ),
mxFitFunctionML(),mxExpectationNormal( covariance="et.covDZF", means="et.meanDZF", dimnames=selVars ) ),
mxModel("DZO",
mxData( observed=dataDZO, type="raw" ),
mxFitFunctionML(),mxExpectationNormal( covariance="et.covDZO", means="et.meanDZO", dimnames=selVars ) ),
mxAlgebra( expression=MZM.objective + DZM.objective + MZF.objective + DZF.objective + DZO.objective, name="m2LL" ),
mxFitFunctionAlgebra("m2LL")
)
# Run Model and Generate Output
# -----------------------------------------------------------------------
etc88Model <- mxOption(etc88Model,"Standard Errors", "No")
etc88Model <- mxOption(etc88Model,"Calculate Hessian", "No")
etc88Model <- mxOption(etc88Model,"max minutes", 5/60)
etc88Fit <- omxCheckWarning(mxRun(etc88Model), "Time limit of 0 minutes 5 seconds exceeded")
etc88Fit <- mxOption(etc88Fit,"max minutes", 0)
etc88Fit <- mxRun(etc88Fit)
summary(etc88Fit)
#Compare OpenMx results to Mx results
# -----------------------------------------------------------------------
omxCheckCloseEnough(etc88Fit$output$Minus,161045.203,0.05)
omxCheckCloseEnough(etc88Fit$output$estimate[["SDm"]],1.3359,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["SDf"]],1.3381,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["MT1"]],0.0112,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["FT1"]],-0.0098,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["MT2"]],-0.0029,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["FT2"]],-0.0070,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["FA"]],0.0216,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["MO"]],-0.0051,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["MS"]],-0.0070,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["FS"]],-0.0087,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["MS1"]],-0.0311,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["FS1"]],0.0147,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["MS2"]],0.0389,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["FS2"]],0.0301,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["MC1"]],-0.0441,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["FC1"]],0.0064,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["MC2"]],-0.0062,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["FC2"]],-0.0194,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["r1"]],0.7690,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["r2"]],0.5700,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["r3"]],0.7802,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["r4"]],0.5711,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["r5"]],0.5656,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["r6"]],-0.0116,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["r7"]],-0.0079,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["r8"]],-0.0240,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["r9"]],-0.0166,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["r10"]],0.0395,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["r11"]],-0.0185,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["r12"]],-0.0765,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["r13"]],0.0802,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["r14"]],-0.0636,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["r15"]],-0.0106,0.02)
omxCheckCloseEnough(etc88Fit$output$estimate[["r16"]],-0.0116,0.01)
omxCheckCloseEnough(etc88Fit$output$estimate[["r17"]],0.5479,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["r18"]],0.5426,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["r19"]],0.5506,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["r20"]],0.0100,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["r21"]],-0.0335,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["r22"]],0.0046,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["r23"]],0.0123,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["r24"]],0.0002,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["r25"]],0.4808,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["r26"]],0.4749,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["r27"]],0.4772,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["r28"]],0.4772,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["r29"]],-0.0171,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["r30"]],-0.0379,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["r31"]],0.0170,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["r32"]],0.0056,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["r33"]],0.2290,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["r34"]],0.2380,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["r35"]],0.2249,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["r36"]],0.2152,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["r37"]],0.2906,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["r38"]],0.2304,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["r39"]],0.2927,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["r40"]],0.1820,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["r41"]],0.4355,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["r42"]],0.4039,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["r43"]],0.3830,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["r44"]],0.3901,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["r45"]],0.2425,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["r46"]],0.3052,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["r47"]],0.2942,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["r48"]],0.2703,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["r49"]],0.3330,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["r50"]],0.3094,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["r51"]],0.3039,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["r52"]],0.2393,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["r53"]],0.3343,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["r54"]],0.3363,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["r55"]],0.3186,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["r56"]],0.2931,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["r57"]],0.2704,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["r58"]],0.2629,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["r59"]],0.2592,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["r60"]],0.3215,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["r61"]],-0.0454,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["r62"]],-0.0147,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["r63"]],0.0213,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["r64"]],-0.0828,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["r65"]],0.0350,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["r66"]],-0.0466,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["r67"]],-0.0637,0.01)
omxCheckCloseEnough(etc88Fit$output$estimate[["r68"]],0.0594,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["r69"]],0.0177,0.01)
omxCheckCloseEnough(etc88Fit$output$estimate[["r70"]],-0.1113,0.02)
omxCheckCloseEnough(etc88Fit$output$estimate[["r71"]],-0.0262,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["r72"]],0.0509,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["r73"]],0.3495,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["r74"]],0.1425,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["r75"]],0.1506,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["r76"]],0.2102,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["r77"]],0.1577,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["r78"]],0.2218,0.01)
omxCheckCloseEnough(etc88Fit$output$estimate[["r79"]],0.2716,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["r80"]],0.1927,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["r81"]],0.3341,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["r82"]],0.2338,0.01)
omxCheckCloseEnough(etc88Fit$output$estimate[["r83"]],0.3007,0.01)
omxCheckCloseEnough(etc88Fit$output$estimate[["r84"]],0.4257,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["r85"]],0.0313,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["r86"]],0.1701,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["r87"]],0.0906,0.001)
omxCheckCloseEnough(etc88Fit$output$estimate[["r88"]],0.0521,0.01)
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