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#
# Copyright 2007-2019 by the individuals mentioned in the source code history
#
# Licensed under the Apache License, Version 2.0 (the "License");
# you may not use this file except in compliance with the License.
# You may obtain a copy of the License at
#
# http://www.apache.org/licenses/LICENSE-2.0
#
# Unless required by applicable law or agreed to in writing, software
# distributed under the License is distributed on an "AS IS" BASIS,
# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
# See the License for the specific language governing permissions and
# limitations under the License.
# -----------------------------------------------------------------------------
# Program: OneFactorModel_MatrixCov.R
# Author: Ryne Estabrook
# Date: 2009.08.01
#
# ModelType: Factor
# DataType: Continuous
# Field: None
#
# Purpose:
# One Factor model to estimate factor loadings, residual variances and means
# Matrix style model input - Covariance matrix data input
#
# RevisionHistory:
# Hermine Maes -- 2009.10.08 updated & reformatted
# Ross Gore -- 2011.06.06 added Model, Data & Field metadata
# Hermine Maes -- 2014.11.02 piecewise specification
# -----------------------------------------------------------------------------
require(OpenMx)
# Load Library
# -----------------------------------------------------------------------------
myFADataCov<-matrix(
c(0.997, 0.642, 0.611, 0.672, 0.637, 0.677,
0.642, 1.025, 0.608, 0.668, 0.643, 0.676,
0.611, 0.608, 0.984, 0.633, 0.657, 0.626,
0.672, 0.668, 0.633, 1.003, 0.676, 0.665,
0.637, 0.643, 0.657, 0.676, 1.028, 0.654,
0.677, 0.676, 0.626, 0.665, 0.654, 1.020),
nrow=6,
dimnames=list(
c("x1","x2","x3","x4","x5","x6"),
c("x1","x2","x3","x4","x5","x6"))
)
myFADataMeans <- c(2.988, 3.011, 2.986, 3.053, 3.016, 3.010)
names(myFADataMeans) <- c("x1","x2","x3","x4","x5","x6")
# Prepare Data
# -----------------------------------------------------------------------------
dataCov <- mxData( observed=myFADataCov, type="cov", numObs=500,
mean=myFADataMeans )
matrA <- mxMatrix( type="Full", nrow=7, ncol=7,
free= c(F,F,F,F,F,F,F,
F,F,F,F,F,F,T,
F,F,F,F,F,F,T,
F,F,F,F,F,F,T,
F,F,F,F,F,F,T,
F,F,F,F,F,F,T,
F,F,F,F,F,F,F),
values=c(0,0,0,0,0,0,1,
0,0,0,0,0,0,1,
0,0,0,0,0,0,1,
0,0,0,0,0,0,1,
0,0,0,0,0,0,1,
0,0,0,0,0,0,1,
0,0,0,0,0,0,0),
labels=c(NA,NA,NA,NA,NA,NA,"l1",
NA,NA,NA,NA,NA,NA,"l2",
NA,NA,NA,NA,NA,NA,"l3",
NA,NA,NA,NA,NA,NA,"l4",
NA,NA,NA,NA,NA,NA,"l5",
NA,NA,NA,NA,NA,NA,"l6",
NA,NA,NA,NA,NA,NA,NA),
byrow=TRUE, name="A" )
matrS <- mxMatrix( type="Symm", nrow=7, ncol=7,
free= c(T,F,F,F,F,F,F,
F,T,F,F,F,F,F,
F,F,T,F,F,F,F,
F,F,F,T,F,F,F,
F,F,F,F,T,F,F,
F,F,F,F,F,T,F,
F,F,F,F,F,F,T),
values=c(1,0,0,0,0,0,0,
0,1,0,0,0,0,0,
0,0,1,0,0,0,0,
0,0,0,1,0,0,0,
0,0,0,0,1,0,0,
0,0,0,0,0,1,0,
0,0,0,0,0,0,1),
labels=c("e1",NA, NA, NA, NA, NA, NA,
NA, "e2", NA, NA, NA, NA, NA,
NA, NA, "e3", NA, NA, NA, NA,
NA, NA, NA, "e4", NA, NA, NA,
NA, NA, NA, NA, "e5", NA, NA,
NA, NA, NA, NA, NA, "e6", NA,
NA, NA, NA, NA, NA, NA, "varF1"),
byrow=TRUE, name="S" )
matrF <- mxMatrix( type="Full", nrow=6, ncol=7,
free=FALSE,
values=c(1,0,0,0,0,0,0,
0,1,0,0,0,0,0,
0,0,1,0,0,0,0,
0,0,0,1,0,0,0,
0,0,0,0,1,0,0,
0,0,0,0,0,1,0),
byrow=TRUE, name="F" )
matrM <- mxMatrix( type="Full", nrow=1, ncol=7,
free=c(T,T,T,T,T,T,F),
values=c(1,1,1,1,1,1,0),
labels=c("meanx1","meanx2","meanx3",
"meanx4","meanx5","meanx6",NA),
name="M" )
exp <- mxExpectationRAM("A","S","F","M",
dimnames=c("x1","x2","x3","x4","x5","x6","F1"))
funML <- mxFitFunctionML()
oneFactorModel <- mxModel("Common Factor Model Matrix Specification",
dataCov, matrA, matrS, matrF, matrM, exp, funML)
# Create an MxModel object
# -----------------------------------------------------------------------------
oneFactorFit <- mxRun(oneFactorModel)
summary(oneFactorFit)
coef(oneFactorFit)
omxCheckCloseEnough(coef(oneFactorFit)[["l2"]], 0.999, 0.01)
omxCheckCloseEnough(coef(oneFactorFit)[["l3"]], 0.959, 0.01)
omxCheckCloseEnough(coef(oneFactorFit)[["l4"]], 1.028, 0.01)
omxCheckCloseEnough(coef(oneFactorFit)[["l5"]], 1.008, 0.01)
omxCheckCloseEnough(coef(oneFactorFit)[["l6"]], 1.021, 0.01)
omxCheckCloseEnough(coef(oneFactorFit)[["varF1"]], 0.645, 0.01)
omxCheckCloseEnough(coef(oneFactorFit)[["e1"]], 0.350, 0.01)
omxCheckCloseEnough(coef(oneFactorFit)[["e2"]], 0.379, 0.01)
omxCheckCloseEnough(coef(oneFactorFit)[["e3"]], 0.389, 0.01)
omxCheckCloseEnough(coef(oneFactorFit)[["e4"]], 0.320, 0.01)
omxCheckCloseEnough(coef(oneFactorFit)[["e5"]], 0.370, 0.01)
omxCheckCloseEnough(coef(oneFactorFit)[["e6"]], 0.346, 0.01)
omxCheckCloseEnough(coef(oneFactorFit)[["meanx1"]], 2.988, 0.01)
omxCheckCloseEnough(coef(oneFactorFit)[["meanx2"]], 3.011, 0.01)
omxCheckCloseEnough(coef(oneFactorFit)[["meanx3"]], 2.986, 0.01)
omxCheckCloseEnough(coef(oneFactorFit)[["meanx4"]], 3.053, 0.01)
omxCheckCloseEnough(coef(oneFactorFit)[["meanx5"]], 3.016, 0.01)
omxCheckCloseEnough(coef(oneFactorFit)[["meanx6"]], 3.010, 0.01)
# Compare OpenMx results to Mx results
# -----------------------------------------------------------------------------
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