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This paper illustrates tests for some suitable hypotheses in analysis of contingency tables when some characters are quantitative. For a two-dimensional table tests are given for the hypothesis of homogeneity of mean scores, the hypothesis of linearity of regression of mean scores, and also for testing significance of regression of mean scores on the level of the other character. For a three-dimensional table some similar procedures are offered. It is briefly pointed out how such test criteria can be derived in a systematic manner by an application of a certain generalized least squares technique.
V. P. Bhapkar (1968) studied this question.