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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.
# ----------------------------------
# Read libraries and set options.
options(width=80)
require(OpenMx)
# ----------------------------------
# Read the data and print descriptive statistics.
multiData1 <- read.csv("data/multiData.csv")
# ----------------------------------
# Build an OpenMx multiple regression model using y and x1
predictors <- c("x1", "x2", "x3", "x4")
outcomes <- c("y")
manifests <- names(multiData1)
multiData1Cov <- cov(multiData1)
multiRegModel <- mxModel("Multiple Regression of y on x1, x2, x3, x4",
type="RAM",
manifestVars=manifests,
mxPath(from=predictors, to=outcomes,
arrows=1,
free=TRUE, values=.2,
labels=c("b1", "b2", "b3", "b4")),
mxPath(from=outcomes,
arrows=2,
free=TRUE, values=.8,
labels=c("VarE")),
mxPath(from=predictors, to=predictors,
# arrows=2, all=TRUE,
arrows=2, connect="unique.pairs",
free=TRUE, values=.2),
mxPath(from=manifests,
arrows=2,
free=TRUE, values=.8,
labels=c("VarX1", "VarX2", "VarX3", "VarX4", "VarE")),
mxData(observed=multiData1Cov, type="cov", numObs=500)
)
multiRegModel <- mxOption(multiRegModel, "Standard Errors", "Yes")
multiRegModelOut <- mxRun(multiRegModel)
summary(multiRegModelOut)
lmOut <- lm(y~x1+x2+x3+x4, data=multiData1)
lmOutSummary <- summary(lmOut)
omxCheckCloseEnough(multiRegModelOut$output$estimate[1:4],
lmOutSummary$coef[2:5,1],
0.001)
omxCheckCloseEnough(multiRegModelOut$output$standardErrors[1:4],
lmOutSummary$coef[2:5,2],
0.001)
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