Chapter 16, Interaction, Latent Growth, and Monte Carlo Methods Video Solutions, A Beginner's Guide to Structural Equation Modeling

Problem 1

An organizational psychologist was investigating whether work tension and collegiality were predictors of job satisfaction. However, research indicated that work tension and collegiality interact, so a SEM Interaction Model was hypothesized and tested. The Interaction Model is diagrammed in Figure 16.6.

Use LISREL to OPEN the PRELIS system file, jobs. psf, then proceed to follow the necessary steps to create the latent variables (work tension, collegiality, and job satisfaction, interaction) and add them to the PRELIS system file. Next, create and run a LISREL-SIMPLIS program to test the interaction model. What conclusions can you make regarding the interaction of the latent variables work tension and collegiality?

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Problem 2

News and radio stations in Dallas, Texas, have apparently convinced the public that a massive crime wave has occurred during the past 4 years, from 2002 to 2005 . A criminologist gathered the crime rate data, but needs your help to run a latent growth curve model to test
( FIGURE CAN'T COPY )
whether a linear trend in crime rates exist for the city. The data set information is:
```
Observed variables: time1 time2 time3 time4
Sample Size 400
Correlation Matrix
1.000
Means 5.417 5.519 5.715 5.83
Standard Deviations .782 .755 .700 .780
```
Create a LISREL-SIMPLIS program, diagram the model with standardized coefficients and interpret your findings. Have crime rates increased in Dallas from 2002 to 2005 ?

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Problem 3

Write a program using either SPSS or SAS for the following population matrix and generate data ( $\mathrm{N}=10,000$ cases):
```
1.00
.50 1.00
```
Given the generated data, compute the population correlation matrix. Does the generated data recover the population correlation values in the matrix?

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