Analysis of Test Results via Log-Linear Models

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Abstract
The recently developed log-linear model procedures are applied to three types of data aris ing in a measurement context. First, because of the historical intersection of survey methods and test norming, the log-linear model approach should have direct utility in the analysis of norm-refer enced test results. Several different schemes for analyzing the homogeneity of test score distribu tions are presented that provide a finer analysis of such data than was previously available. Second, the analysis of a contingency table resulting from the cross-classification of students on the basis of criterion-referenced test results and instructionally related variables is presented. Third, the intersec tion of log-linear models and item parameter esti mation procedures under latent trait theory are shown. The illustrative examples in each of these areas suggest that log-linear models can be a versa tile and useful data analysis technique in a mea surement context.

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