Multiple Sample Models. James G. Anderson, Ph.D. Purdue University. Rationale of Multiple Sample SEMs. Do estimates of model parameters vary across groups? Another way of asking this question is: Does group membership moderate the relationships specified in the model?.
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James G. Anderson, Ph.D.
Lyman, DR., Moff, HT, Stouthamer-Loeber,M. (1993). “Explaining the Relation Between IQ and Delinquency: Class, Race, Test Motivation or Self-Control.” Journal of Abnormal Psychology, 102, 187-196.
df = 7
Werts, CE, Rock, DA, Linn, RL and Joreskog, KG. (1976). “A Comparison of Correlations, Variances, Covariances and Regression Weights With or Without Measurement Errors.” Psychology Bulletin, 83, 52-56.
Chi Square = 34.89
p < 0.00011
Chi Square = 29.67
p < 0.00011
Chi Square = 4.03
p < 0.26
Chi Square difference = 29-67-4.03 =25.03
df difference = 7-3=4
Chi Square = 10.87
p < 0.14
Chi Square difference = 34.89-10.87 =24.01
df difference = 11-7=4