The mutual independence hypothesis for categorical data in complex sampling schemes

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Abstract
This paper is concerned with the analysis of contingency tables which are constructed using categorical data from a complex sampling scheme. For the mutual independence hypothesis, we extend Tavaré's (1983) results on two-dimensional contingency tables to higher dimensions. In particular, with respect to Pearson's statistic for testing the independence of two variables, we strengthen the robustness result proven by Tavaré, thus making it applicable more widely.

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