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Testing for unimodal dependence in an ordered contingency table with restricted marginal probabilities

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  • Park, Chul Gyu

Abstract

Likelihood ratio test is considered for testing unimodal dependence as a null hypothesis in a 2 x k ordered contingency table having order restriction on a marginal distribution. The asymptotic least-favorable distribution of the LRT statistic is derived as a convolution of two chi-bar-square distributions. This testing method is illustrated with blood pressure and heart disease data.

Suggested Citation

  • Park, Chul Gyu, 1998. "Testing for unimodal dependence in an ordered contingency table with restricted marginal probabilities," Statistics & Probability Letters, Elsevier, vol. 37(2), pages 121-129, February.
  • Handle: RePEc:eee:stapro:v:37:y:1998:i:2:p:121-129
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    References listed on IDEAS

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    1. W. M. Patefield, 1982. "Exact Tests for Trends in Ordered Contingency Tables," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 31(1), pages 32-43, March.
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    Cited by:

    1. Park, Chul Gyu, 2002. "Testing for Ordered Trends of Binary Responses between Contingency Tables," Journal of Multivariate Analysis, Elsevier, vol. 81(2), pages 229-241, May.
    2. Park, Chul Gyu, 1998. "Least squares estimation of two functions under order restriction in isotonicity," Statistics & Probability Letters, Elsevier, vol. 37(1), pages 97-100, January.

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