Abstract

Generalizability theory and common factor analysis are based upon the random effects model of the analy sis of variance, and both are subject to the factor inde terminacy problem: The unobserved random variables (common factor scores or universe scores) are indeter minate. In the one-facet (repeated measures) design, the extent to which true or universe scores and com mon factor scores are not uniquely defined is shown to be a function of the dependability (reliability) of the data. The minimum possible correlation between equivalent common factor scores is a lower bound es timate of reliability.

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