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Tests for the marginal probabilities in the two-way contingency table under restricted alternatives

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Abstract

Testing hypotheses on the marginal probabilities of a two-way contingency table is discussed. Three statistics are considered for testing the hypothesis of specified probabilities in the margins against alternatives with certain kind of order restriction. The properties of these statistics are discussed and their asymptotic behaviors are compared in depth. An appliction which motivated the consideration of the original testing problem is illustrated with a practical data.

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Authors and Affiliations

  1. The Institute of Statistical Mathematics, 4-6-7 Minami-Azabu, Minato-ku, 106, Tokyo, Japan

    Kazuo Anraku

  2. Faculty of Education, Saga University, 840, Saga, Japan

    Akihiro Nishi

  3. Department of Mathematics, Kyushu University 33, 812, Fukuoka, Japan

    Takashi Yanagawa

Authors
  1. Kazuo Anraku
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  2. Akihiro Nishi
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  3. Takashi Yanagawa
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Anraku, K., Nishi, A. & Yanagawa, T. Tests for the marginal probabilities in the two-way contingency table under restricted alternatives. Ann Inst Stat Math 40, 149–163 (1988). https://doi.org/10.1007/BF00053962

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  • DOI: https://doi.org/10.1007/BF00053962

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