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Technometrics Volume 23, 1981 - Issue 2
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Original Articles

On the Use of a Friedman-Type Statistic in Balanced and Unbalanced Block Designs

John H. Skillings Department of Mathematics and Statistics, Miami University, Oxford, OH, 45056
&
Gregory A. Mack Battelle Columbus Laboratories, Columbus, OH, 43201
Pages 171-177 | Published online: 23 Mar 2012
 
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Abstract

Distribution-free tests and multiple comparison procedures are considered for randomized block designs. A general Friedman-type statistic is defined that is usable in almost any block design with arbitrary missing data structure. For balanced incomplete block designs a multiple comparison procedure and exact tables are given for a statistic equivalent to one proposed by Durbin (1951). Finally, for designs with missing observations on only one treatment, we present exact tables for the test statistic, and we consider a multiple comparison procedure.

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