On exact Type I and Type II errors of Cochran's test
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.
Year of publication: |
2007
|
---|---|
Authors: | Lou, W.Y. Wendy ; Fu, James C. |
Published in: |
Statistics & Probability Letters. - Elsevier, ISSN 0167-7152. - Vol. 77.2007, 12, p. 1282-1287
|
Publisher: |
Elsevier |
Keywords: | Dichotomous responses Markov chain Runs and patterns |
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