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Journal Article

Distribution-Free Tests for Ordered Alternatives in a Randomized Block Design

John H. Skillings and Douglas A. Wolfe
Journal of the American Statistical Association
Vol. 73, No. 362 (Jun., 1978), pp. 427-431
DOI: 10.2307/2286678
Stable URL: http://www.jstor.org/stable/2286678
Page Count: 5
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Distribution-Free Tests for Ordered Alternatives in a Randomized Block Design
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Abstract

In this article we consider a class of test statistics that are useful for testing against ordered alternatives in balanced or unbalanced block designs. The approach consists of forming a statistic on each block and then combining the block statistics as a weighted sum to obtain one overall test statistic. Large-sample properties such as asymptotic normality and asymptotic relative efficiency as the number of blocks tends to infinity are considered. Throughout the article special attention is given to a Jonckheere-type statistic. Some consideration is given to the selection of the optimal weighting constants for the Jonckheere statistic.

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