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

被引：1

作者：

Lou, W. Y. Wendy

Fu, James C. ^{[1
]}

机构：

[1] Univ Manitoba, Dept Stat, Winnipeg, MB R3T 2N2, Canada

[2] Univ Toronto, Dept Publ Hlth Sci, Toronto, ON M5T 3M7, Canada

[3] Univ Toronto, Dept Stat, Toronto, ON M5T 3M7, Canada

来源：

STATISTICS & PROBABILITY LETTERS | 2007年 / 77卷 / 12期

基金：

加拿大自然科学与工程研究理事会;

关键词：

dichotomous responses; Markov chain; runs and patterns;

D O I：

10.1016/j.spl.2007.03.013

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

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 tile exact Type I and Type 11 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. (c) 2007 Elsevier B.V. All rights reserved.

引用

页码：1282 / 1287

页数：6

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