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On exact Type I and Type II errors of Cochran's test

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  • Lou, W.Y. Wendy
  • Fu, James C.

Abstract

In this article, we obtain exact Type I and Type II error probabilities for Cochran's test comparing K different treatments using independent blocks with dichotomous responses. A finite Markov chain imbedding technique is used to construct a non-homogeneous Markov chain, and then the exact Type I and Type II error probabilities are cast in terms of the transition probabilities of the imbedded Markov chain. An example from Lehmann [1974. Nonparametrics: Statistical Methods Based on Ranks. Holden-Day Inc., San Francisco, p. 268] is given to illustrate our theorem.

Suggested Citation

  • Lou, W.Y. Wendy & Fu, James C., 2007. "On exact Type I and Type II errors of Cochran's test," Statistics & Probability Letters, Elsevier, vol. 77(12), pages 1282-1287, July.
    • Handle: RePEc:eee:stapro:v:77:y:2007:i:12:p:1282-1287
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    References listed on IDEAS

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    1. Johnson, Brad C., 2002. "The distribution of increasing 2-sequences in random permutations of arbitrary multi-sets," Statistics & Probability Letters, Elsevier, vol. 59(1), pages 67-74, August.
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    Cited by:

    1. Tung-Lung Wu, 2020. "Conditional waiting time distributions of runs and patterns and their applications," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 72(2), pages 531-543, April.

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