TITLE

Selecting the Best Population Using a Test for Equality Based on Minimal Wilcoxon Rank-sum Precedence Statistic

AUTHOR(S)
Ng, Hon Keung Tony; Balakrishnan, N.; Panchapakesan, S.
PUB. DATE
June 2007
SOURCE
Methodology & Computing in Applied Probability;Jun2007, Vol. 9 Issue 2, p263
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
In this paper, we first give an overview of the precedence-type test procedures. Then we propose a nonparametric test based on early failures for the equality of two life-time distributions against two alternatives concerning the best population. This procedure utilizes the minimal Wilcoxon rank-sum precedence statistic (Ng and Balakrishnan, , ) which can determine the difference between populations based on early (100 q%) failures. Hence, this procedure can be useful in life-testing experiments in biological as well as industrial settings. After proposing the test procedure, we derive the exact null distribution of the test statistic in the two-sample case with equal or unequal sample sizes. We also present the exact probability of correct selection under the Lehmann alternative. Then, we generalize the test procedure to the k-sample situation. Critical values for some sample sizes are presented. Next, we examine the performance of this test procedure under a location-shift alternative through Monte Carlo simulations. Two examples are presented to illustrate our test procedure with selecting the best population as an objective.
ACCESSION #
24942839

 

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