An asymptotic distribution-free selection procedure for a two-way layout problem |
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| Authors: | Shanti S. Gupta Lii-Yuh Leu |
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| Affiliation: | 1. Purdue University ,;2. National Central University , |
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| Abstract: | This paper deals with an asymptotic distribution-free subset selection procedure for a two-way layout problem. The treatment effect with the largest unknown value is of interest to us. The block effect is a nuisance parameter in this problem. The proposed procedure is based on the Hodges-Lehmann estimators of location parameters. The asymptotic relative efficiency of the proposed procedure with the normal means procedure is evaluated. It is shown that the proposed procedure has a high efficiency. |
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| Keywords: | asymptotic distribution-free procedure subset selection two-way layout treatment effect nuisance parameter asymptotic relative efficiency |
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