Abstract
This chapter presents a method for fitting models to effect sizes when the independent variables are categorical. This method is essentially an analogue to the analysis of variance for effect sizes. The method is useful when it is possible to group studies that have similar characteristics, such as experimental conditions or stimuli. It provides valid large sample tests for differences in average effect sizes between classes and also tests for the homogeneity of effect size within classes. The within-class test of homogeneity can be used as a test for the specification of the categorical model. This method is a special case of a method of fitting general linear models to effect sizes. The technique presented in this chapter is quite direct. The first step is to determine, by means of a statistical test, whether all studies share a common effect size. If the hypothesis that all the effect sizes are equal is rejected, then the experimenter breaks the series of studies into groups or a priori classes, in such a way that the effect sizes within each class are approximately equal.
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