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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: OneFactorRaw-OpenMx100221.R
# Author: Steven M. Boker
# Date: Sun Feb 21 13:23:40 EST 2010
#
# This program fits a FIML single factor model to the
# factorExample1.csv simulated data.
#
#
# ---------------------------------------------------------------------
# Revision History
# -- Sun Feb 21 13:23:43 EST 2010
# Created OneFactorRaw-OpenMx100221.R.
#
# ---------------------------------------------------------------------
# ----------------------------------
# Read libraries and set options.
require(OpenMx)
# ----------------------------------
# Read the data and print descriptive statistics.
data(factorExample1)
# ----------------------------------
# Build an OpenMx single factor FIML model with fixed variance
indicators <- names(factorExample1)
latents <- c("F1")
loadingLabels <- paste("b_", indicators, sep="")
uniqueLabels <- paste("U_", indicators, sep="")
meanLabels <- paste("M_", indicators, sep="")
factorVarLabels <- paste("Var_", latents, sep="")
oneFactorRaw1 <- mxModel("Single Factor FIML Model with Fixed Variance",
type="RAM",
manifestVars=indicators,
latentVars=latents,
mxPath(from=latents, to=indicators,
# arrows=1, all=TRUE,
arrows=1, connect="all.pairs",
free=TRUE, values=.2,
labels=loadingLabels),
mxPath(from=indicators,
arrows=2,
free=TRUE, values=.8,
labels=uniqueLabels),
mxPath(from=latents,
arrows=2,
free=FALSE, values=1,
labels=factorVarLabels),
mxPath(from="one", to=indicators,
arrows=1, free=TRUE, values=.1,
labels=meanLabels),
mxData(observed=factorExample1, type="raw")
)
oneFactorRaw1Out <- mxRun(oneFactorRaw1, suppressWarnings=TRUE)
summary(oneFactorRaw1Out)
# ----------------------------------
# check for correct values
expectVal <- c(0.683956, 0.32482, 0.108867, 0.474409, 0.601804,
1.120639, 1.259331, 0.647393, 0.718727, 0.352796, 0.176193, 0.193536,
0.799875, 0.633057, 0.367627, 0.340238, 0.234038, 0.854411, -0.011613,
-0.006823, 0.023961, -0.031357, -0.045482, -0.091784, -0.067323,
-0.03902, -0.059997)
expectSE <- c(0.035171, 0.022385, 0.020766, 0.044572, 0.042209, 0.045695,
0.048829, 0.030576, 0.049267, 0.024845, 0.011934, 0.012303, 0.05201,
0.042727, 0.032079, 0.034835, 0.017301, 0.057773, 0.04048, 0.023723,
0.020266, 0.045256, 0.044588, 0.056927, 0.062004, 0.036112, 0.052335
)
expectMin <- 9706.388
omxCheckCloseEnough(expectVal, oneFactorRaw1Out$output$estimate, 0.001)
omxCheckCloseEnough(expectSE,
as.vector(oneFactorRaw1Out$output[['standardErrors']]), 0.001)
omxCheckCloseEnough(expectMin, oneFactorRaw1Out$output$minimum, 0.001)
# ----------------------------------
# Build an OpenMx single factor FIML model with fixed loading
indicators <- names(factorExample1)
latents <- c("F1")
loadingLabels <- paste("b_", indicators, sep="")
uniqueLabels <- paste("U_", indicators, sep="")
meanLabels <- paste("M_", indicators, sep="")
factorVarLabels <- paste("Var_", latents, sep="")
oneFactorRaw2 <- mxModel("Single Factor FIML Model with Fixed Loading",
type="RAM",
manifestVars=indicators,
latentVars=latents,
mxPath(from=latents, to=indicators,
# arrows=1, all=TRUE,
arrows=1, connect="all.pairs",
free=TRUE, values=.2,
labels=loadingLabels),
mxPath(from=indicators,
arrows=2,
free=TRUE, values=.8,
labels=uniqueLabels),
mxPath(from=latents,
arrows=2,
free=TRUE, values=1,
labels=factorVarLabels),
mxPath(from=latents, to=c("x1"),
arrows=1,
free=FALSE, values=1),
mxPath(from="one", to=indicators,
arrows=1, free=TRUE, values=.1,
labels=meanLabels),
mxData(observed=factorExample1, type="raw")
)
oneFactorRaw2Out <- mxRun(oneFactorRaw2, suppressWarnings=TRUE)
summary(oneFactorRaw2Out)
# ----------------------------------
# check for correct values
expectVal <- c(0.474912, 0.159172, 0.693622, 0.879884, 1.638461,
1.841241, 0.946538, 1.050835, 0.352795, 0.176193, 0.193536, 0.799875,
0.633057, 0.367627, 0.340238, 0.234038, 0.854411, 0.467801, -0.011613,
-0.006823, 0.023961, -0.031357, -0.045482, -0.091784, -0.067324,
-0.039021, -0.059997)
expectSE <- c(0.035139, 0.030654, 0.067841, 0.066148, 0.078732, 0.084924,
0.051113, 0.077259, 0.024844, 0.011934, 0.012303, 0.052011, 0.042727,
0.03208, 0.034835, 0.017301, 0.057779, 0.048107, 0.040474, 0.023721,
0.020265, 0.045254, 0.044584, 0.056914, 0.061993, 0.036106, 0.052327
)
expectMin <- 9706.388
omxCheckCloseEnough(expectVal, oneFactorRaw2Out$output$estimate, 0.001)
omxCheckCloseEnough(expectSE,
as.vector(oneFactorRaw2Out$output[['standardErrors']]), 0.001)
omxCheckCloseEnough(expectMin, oneFactorRaw2Out$output$minimum, 0.001)
oneFactorRaw1$data$observed$x4 <- as.integer(factorExample1$x4)
oneFactorRaw1$data$observed$x4[1] <- NA # screwed this up before
oneFactorRaw3Out <- mxRun(oneFactorRaw1)
omxCheckCloseEnough(oneFactorRaw3Out$output$fit, 9327.42, .01)
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