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Multivariate Hypothesis Tests

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Statistical Models for Proportions and Probabilities

Part of the book series: SpringerBriefs in Statistics ((BRIEFSSTATIST))

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Abstract

We establish the asymptotic equivalence of several test procedures for testing hypotheses about the Multinomial distribution, namely the Likehood-ratio, Wald, Score, and Pearson’s goodness-of-fit tests. Particular emphasis is given to contingency tables, especially \(2\times 2\) tables where exact and approximate test methods are given, including methods for matched pairs.

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Notes

  1. 1.

    See also Agresti (2002, pp. 45–46).

  2. 2.

    Richardson (1994) and Campbell (2007).

  3. 3.

    As in previous chapters exact means using the exact values of the underlying probability distribution rather than an approximation.

  4. 4.

    See http://www.cytel.com/pdfs/SX9_brochure_final-2.pdf.

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Authors and Affiliations

  1. Department of Statistics, The University of Auckland, Princes Street 38, Auckland, 1010, New Zealand

    George A. F. Seber

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  1. George A. F. Seber
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Correspondence to George A. F. Seber .

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Seber, G.A.F. (2013). Multivariate Hypothesis Tests. In: Statistical Models for Proportions and Probabilities. SpringerBriefs in Statistics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-39041-8_4

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