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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.
\name{omxRMSEA}
\alias{omxRMSEA}
\title{Get the RMSEA with confidence intervals from model}
\description{
This function calculates the Root Mean Square Error of the Approximation (RMSEA) for a model and computes confidence intervals for that fit statistic.
}
\usage{
omxRMSEA(model, lower=.025, upper=.975, null=.05, ...)
}
\arguments{
\item{model}{An MxModel object for which the RMSEA is desired}
\item{lower}{The lower confidence bound for the confidence interval}
\item{upper}{The upper confidence bound for the confidence interval}
\item{null}{Value of RMSEA used to test for close fit}
\item{...}{Further named arguments passed to summary}
}
\details{
To help users obtain fit statistics related to the RMSEA, this function confidence intervals and a test for close fit. The user determines how close the fit is required to be by setting the \code{null} argument to the value desired for comparison.
}
\value{
A named vector with elements lower, est.rmsea, upper, null, and `Prob(x <= null)`.
}
\references{
Browne, M. W. & Cudeck, R. (1992). Alternative Ways of Assessing Model Fit. \emph{Sociological Methods and Research}, \strong{21}, 230-258.
}
\examples{
require(OpenMx)
data(demoOneFactor)
manifests <- names(demoOneFactor)
latents <- c("G")
factorModel <- mxModel("One Factor",
type="RAM",
manifestVars=manifests,
latentVars=latents,
mxPath(from=latents, to=manifests),
mxPath(from=manifests, arrows=2),
mxPath(from=latents, arrows=2, free=FALSE, values=1.0),
mxData(observed=cov(demoOneFactor), type="cov", numObs=500))
factorRun <- mxRun(factorModel)
factorSat <- mxRefModels(factorRun, run=TRUE)
summary(factorRun, refModels=factorSat)
# Gives RMSEA with 95% confidence interval
omxRMSEA(factorRun, .05, .95, refModels=factorSat)
# Gives RMSEA with 90% confidence interval
# and probability of 'close enough' fit
}
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