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Embretson, Susan E. – Applied Psychological Measurement, 1996
Conditions under which interaction effects estimated from classical total scores, rather than item response theory trait scores, can be misleading are discussed with reference to analysis of variance (ANOVA). When no interaction effects exist on the true latent variable, spurious interaction effects can be observed from the total score scale. (SLD)
Descriptors: Analysis of Variance, Interaction, Item Response Theory, Models
Woodruff, David – 1993
Two analyses of variance (ANOVA) models for item scores are compared. The first is an items by subject random effect ANOVA. The second is a mixed effects ANOVA with items fixed and subjects random. Comparisons regarding reliability, Cronbach's alpha coefficient, psychometric inference, and inter-item covariance structure are made between the…
Descriptors: Analysis of Covariance, Analysis of Variance, Comparative Analysis, Factor Analysis