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The exact distribution of page’sL-statistic in the two-way layout

 

作者: Robert E. Odeh,  

 

期刊: Communications in Statistics - Simulation and Computation  (Taylor Available online 1977)
卷期: Volume 6, issue 1  

页码: 49-61

 

ISSN:0361-0918

 

年代: 1977

 

DOI:10.1080/03610917708812026

 

出版商: Marcel Dekker, Inc.

 

关键词: ordered alternatives;rank tests in randomized blocks;nonparametric inference;Spearman’s rank correlation coefficient

 

数据来源: Taylor

 

摘要:

In this paper we consider a rank test for trend. The data is given in the form of a two-way layout from k treatments and n blocks. For testing the hypothesis that there is no treatment effect, against the alternative that the treatment effects are, in a specified order, theL-test was proposed by Page (1963). In this paper a recurrence formula is derived for computing the exact distribution ofL. Tables of exact probabilities and critical values are given for nominal values of α = 0. 2, 0. 1, 0. 05, 0. 025, 0. 01, 0. 005, and 0. 001, fork= 3(1)8, n = 2(1)10.

 

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