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A class of exact UMP unbiased tests for conditional symmetry in small-sample square contingency tables

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  • Rolf Aaberge
  • Li-chun Zhang

Abstract

Testing conditional symmetry against various alternative diagonals-parameter symmetry models often provides a point of departure in studies of square contingency tables with ordered categories. Typically, chi-square or likelihood-ratio tests are used for such purposes. Since these tests depend on the validity of asymptotic approximation, they may be inappropriate in small-sample situations where exact tests are required. In this paper, we apply the theory of UMP unbiased tests to develop a class of exact tests for conditional symmetry in small samples. Oesophageal cancer and longitudinal income data are used to illustrate the approach.

Suggested Citation

  • Rolf Aaberge & Li-chun Zhang, 2005. "A class of exact UMP unbiased tests for conditional symmetry in small-sample square contingency tables," Journal of Applied Statistics, Taylor & Francis Journals, vol. 32(4), pages 333-340.
    • Handle: RePEc:taf:japsta:v:32:y:2005:i:4:p:333-340
    DOI: 10.1080/02664760500078953
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    References listed on IDEAS

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    1. Agresti, Alan, 1983. "A simple diagonals-parameter symmetry and quasi-symmetry model," Statistics & Probability Letters, Elsevier, vol. 1(6), pages 313-316, October.
    2. Rolf Aaberge, 1998. "UMP Unbiased Tests for Multiparameter Testing Problems with Restricted Alternatives," Discussion Papers 212, Statistics Norway, Research Department.
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