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http://dx.doi.org/10.5351/CKSS.2008.15.3.403

The Size of the Cochran-Armitage Trend Test in 2 X C Contingency Tables: Two Multinomial Distribution Case  

Kang, Seung-Ho (Ewha Womans University)
Ahn, Sun-Young (Ewha Womans University)
Publication Information
Communications for Statistical Applications and Methods / v.15, no.3, 2008 , pp. 403-409 More about this Journal
Abstract
In this paper we show that the peak of the type I error rate of the Oochran-Armitage trend test could be greater than the nominal level when $2\;{\times}\;C$ contingency tables obtained from two multinomial distributions are extremely unbalanced. This result justifies the use of the exact Cochran-Armitage trend test in extremely unbalanced $2\;{\times}\;C$ contingency tables.
Keywords
Imbalance; type I error; exact test;
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1 Kang, S. H. and Shin, D. W. (2004). The size of the chi-square test for the HardyWeinberg law, Human Heredity, 58, 10-17   DOI   ScienceOn
2 Kang, S. H. and Lee, J. W. (2007). The size of the Cochran-Armitage trend test in $2{\times}C$ contingency table, Journal of Statistical Planning and Inference, 137, 1851-1861   DOI   ScienceOn
3 Kang, S. H., Lee, Y. H. and Park, E. S. (2006). The sizes of the three popular asymptotic tests for testing homogeneity of two binomial proportions, Computational Statistics & Data Analysis, 51, 710-722   DOI   ScienceOn
4 Loh, W. Y. and Yu, X. (1993). Bounds on the size of the likelihood ratio test of independence in a contingency table, Journal of Multivariate Analysis, 45, 291- 304   DOI   ScienceOn
5 Johnson, N. L. and Kotz, S. (1969). Distributions in Statistics: Discrete Distributions, Jhon Wiley & Sons, New York
6 Cytel (2007). StatXact, Version 6.0. Software for exact nonparametric statistical inference with continuous or categorical data, Cambridge, Massachusetts: Cytel Software
7 Loh, W. Y. (1989). Bounds on the size of the $\chi^2$2 test of independence in a contingency table, The Annals of Statistics, 17, 1709-1722   DOI