Nonparametric methods for pairwise comparisons in the randomized complete block design

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Title: Nonparametric methods for pairwise comparisons in the randomized complete block design
Author: Barefield, Eric W.
Abstract: The main focus of this investigation is to verify the robustness of validity of these tests . By robustness of validity , it is meant the stability of the Type I error rate for small designs as well as conditions under which some of the underlying assumptions are violated . For methods that produce valid tests , further investigations with respect to power are meaningful . Since many nonparametric methods use large sample approximation theory , it may be expected that these methods will perform better as n , the number of blocks , increases . As the number of treatments , p , gets larger , it becomes harder to reject the null hypothesis since this increases the critical value . As we will see , some design structures make rejection of the null hypothesis impossible for certain methods . The methods of interest include the sign statistic , signed rank statistic , rank sum statistic (Aligned Rank statistic using separated rankings and uniform scores ) . Aligned -Rank Transform , Within -Block ranking , and least squares .
URI: http : / /hdl .handle .net /2346 /9040
Date: 1998-12

Citation

Barefield, Eric W. Nonparametric methods for pairwise comparisons in the randomized complete block design. Master's thesis, Texas Tech University. Available electronically from http : / /hdl .handle .net /2346 /9040 .

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