This article explicitly demonstrates the relationship between the purging method of rate adjustment introduced by Clogg and his associates and the more general framework of log-linear analysis. After a review of the general multiplicative (or log-linear) model, two types of purging are discussed; these “purged” rates are shown to be related to the parameters of this model. A parallel discussion of “purged” odds follows, wherein either purging method is shown to produce summary odds whose ratios are identical to the corresponding odds ratios of an appropriate log-linear model. These various formal relationships are illustrated by means of a numerical example.
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