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Tests on categorical data from the unionintersection principle

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Summary

The union-intersection principle developed by S. N. Roy [13] has become an important tool in multivariate analysis. In this paper the union-intersection principle is applied to obtain some of the standard tests of hypothesis on categorical data, as well as a new test for homogeneity in anr×c table. In particular, tests of hypothesis on a single multinomial distribution and tests for the comparison of two multinomials are derived on the union-intersection principle and the corresponding simultaneous confidence intervals obtained. A test for homogeneity in anr×c table is derived on the union-intersection principle, and for the case of equal sample size from each of ther populations it is shown that the test statistic is distributed as the largest root of a central Wishart matrix.

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Authors and Affiliations

  1. University of Wyoming, Wyoming, USA

    Donald A. Anderson, Lyman L. McDonald & Kim D. Weaver

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  1. Donald A. Anderson
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  2. Lyman L. McDonald
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  3. Kim D. Weaver
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Anderson, D.A., McDonald, L.L. & Weaver, K.D. Tests on categorical data from the unionintersection principle. Ann Inst Stat Math 26, 203–213 (1974). https://doi.org/10.1007/BF02479816

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