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#
# Copyright 2007-2018 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.
require(OpenMx)
myLongitudinalDataCov <- matrix(
c(6.362, 4.344, 4.915, 5.045, 5.966,
4.344, 7.241, 5.825, 6.181, 7.252,
4.915, 5.825, 9.348, 7.727, 8.968,
5.045, 6.181, 7.727, 10.821, 10.135,
5.966, 7.252, 8.968, 10.135, 14.220),
nrow=5,
dimnames=list(
c("x1","x2","x3","x4","x5"),
c("x1","x2","x3","x4","x5"))
)
myLongitudinalDataMean <- c(9.864, 11.812, 13.612, 15.317, 17.178)
names(myLongitudinalDataMean) <- c("x1","x2","x3","x4","x5")
growthCurveModel <- mxModel("Linear Growth Curve Model, Matrix Specification",
mxData(myLongitudinalDataCov,
type="cov",
numObs=500,
mean=myLongitudinalDataMean),
mxMatrix(
type="Full",
nrow=7,
ncol=7,
free=F,
values=c(0,0,0,0,0,1,0,
0,0,0,0,0,1,1,
0,0,0,0,0,1,2,
0,0,0,0,0,1,3,
0,0,0,0,0,1,4,
0,0,0,0,0,0,0,
0,0,0,0,0,0,0),
byrow=TRUE,
name="A"),
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, T,
F, F, F, F, F, T, T),
values=c(0,0,0,0,0, 0, 0,
0,0,0,0,0, 0, 0,
0,0,0,0,0, 0, 0,
0,0,0,0,0, 0, 0,
0,0,0,0,0, 0, 0,
0,0,0,0,0, 1,0.5,
0,0,0,0,0,0.5, 1),
labels=c("residual", NA, NA, NA, NA, NA, NA,
NA, "residual", NA, NA, NA, NA, NA,
NA, NA, "residual", NA, NA, NA, NA,
NA, NA, NA, "residual", NA, NA, NA,
NA, NA, NA, NA, "residual", NA, NA,
NA, NA, NA, NA, NA, "vari", "cov",
NA, NA, NA, NA, NA, "cov", "vars"),
byrow= TRUE,
name="S"),
mxMatrix(
type="Full",
nrow=5,
ncol=7,
free=F,
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),
byrow=T,
name="F"),
mxMatrix("Full", nrow=1, ncol=7,
values=c(0,0,0,0,0,1,1),
free=c(F,F,F,F,F,T,T),
labels=c(NA,NA,NA,NA,NA,"meani","means"),
name="M"),
mxFitFunctionML(),mxExpectationRAM("A","S","F","M",dimnames=c("x1","x2","x3","x4","x5","intercept","slope"))
)
growthCurveFit<-mxRun(growthCurveModel, suppressWarnings=TRUE)
omxCheckCloseEnough(growthCurveFit$output$estimate[["meani"]], 9.930, 0.01)
omxCheckCloseEnough(growthCurveFit$output$estimate[["means"]], 1.813, 0.01)
omxCheckCloseEnough(growthCurveFit$output$estimate[["vari"]], 3.886, 0.01)
omxCheckCloseEnough(growthCurveFit$output$estimate[["vars"]], 0.258, 0.01)
omxCheckCloseEnough(growthCurveFit$output$estimate[["cov"]], 0.460, 0.01)
omxCheckCloseEnough(growthCurveFit$output$estimate[["residual"]], 2.316, 0.01)
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