Applying Log-Linear Models in Educational Research

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Abstract
This didactic illustrates the Goodman-Kennedy approach to log-linear modelling within the context of two educational research examples. The first example lends itself to a symmetrical analysis. To qualitative data presented within a 2 × 2 × 2 contingency table, general log-linear models are specified and assessed for goodness of fit. Subsequently an acceptable model is identified and interpreted. In a second example, an asymmetrical logit-model analysis is performed on data in a 2 × 2 × 5 table. It is shown that a subset of general models can be fitted to observed data and that resultant component chi-squares can be used to assess logit response in a manner that is analogous to the analysis of variance.