# ---------------------------------------------------------------------
# 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.

options(width=80)

require(psych)
require(OpenMx)

# ----------------------------------
# Read the data and print descriptive statistics.

factorExample1 <- read.csv("factorExample1.csv")

describe(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, 
           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)

summary(oneFactorRaw1Out)



# ----------------------------------
# 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, 
           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)

summary(oneFactorRaw2Out)