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A Beginner's Guide to Structural Equation Modeling

Randall E. Schumacker, Richard G. Lomax

Chapter 12

Model Validation - all with Video Answers

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Chapter Questions

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Problem 1

Test whether the following three variance-covariance matrices fit the theoretical confirmatory factor model in Figure 12.3 using LISREL-SIMPLIS. The sample size is 80 for each sample. The variables are entered in order as: SOFED (father's education), SOMED (mothers' education), SOFOC (father's occupation), FAFED (father's education), MOMED (mother's education), and FAFOC (father's occupation).
Sample 1
5.86
$3.12 \quad 3.32$
$35.28 \quad 23.85 \quad 622.09$
$\begin{array}{llll}4.02 & 2.14 \quad 29.42 & 5.33\end{array}$
$2.99 \quad 2.5519 .20 \quad 3.174 .64$
$35.30 \quad 26.91 \quad 465.62 \quad 31.22 \quad 23.38 \quad 546.01$

Sample 2
8.20
$$
\begin{aligned}
& 45.65 \quad 22.58 \quad 611.63 \\
& 6.393 .16 \quad 44.62 \quad 7.32 \\
& 3.223 .7723 .473 .334 .02 \\
& 45.58 \quad 22.01 \quad 548.00 \quad 40.9921 .43 \quad 585.14 \\
& \text { Sample } 3 \\
& 5.74 \\
& 1.352 .49 \\
& 39.2412 .73 \quad 535.30 \\
& 4.941 .65 \quad 37.36 \quad 5.39 \\
& 1.672 .3215 .71 \quad 1.85 \quad 3.06 \\
& 40.11 \quad 12.94 \quad 496.86 \quad 38.09 \quad 14.91 \quad 538.76 \\
&
\end{aligned}
$$
a. Run individual program for sample 1 to determine CFA model and report CFA parameters.
b. Run individual programs with CFA model on sample 2 and sample 3 and report CFA parameters.
c. Run multiple-sample program to test factor loadings and factor correlations invariant (equal) with unequal error variances and report individual and global chi-square values.
d. Interpret your results.

Shu Naito
Shu Naito
Numerade Educator

Problem 2

For Exercise \#1, Report the single sample expected cross validation index (ECVI). Given a sample size of 80 , would you split the sample and cross validate the model using CVI?
( FIGURE CAN'T COPY )

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