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Testing for Ordered Trends of Binary Responses between Contingency Tables

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  • Park, Chul Gyu

Abstract

In this article, likelihood ratio tests (LRTs) are developed for detecting that stochastic trends of binary responses are ordered between 2xk contingency tables. We provide a simple iterative algorithm for the maximum likelihood estimators under the order restriction and construct the LRTs using those estimators. All the distributional results of these tests are based on the large sampling theory. The finite-sample behaviors of these tests are investigated through a simulation study. As an illustration of these tests, we analyze a set of data on wheeziness of smoking coalminers.

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  • 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.
    • Handle: RePEc:eee:jmvana:v:81:y:2002:i:2:p:229-241
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    References listed on IDEAS

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    1. Dykstra, Robert R., 1988. "Trails South: The Wagon-Road Economy in the Dodge City-Panhandle Region. By C. Robert Haywood. Norman: University of Oklahoma Press, 1986. xv + 312 pp. Maps, illustrations, notes, bibliography, and in," Business History Review, Cambridge University Press, vol. 62(1), pages 157-158, April.
    2. 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.
    3. 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.
    4. 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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