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http://dx.doi.org/10.7465/jkdi.2012.23.4.683

Power study for 4 × 4 graeco-latin square design  

Choi, Young-Hun (Department of Applied Statistics, Hanshin University)
Publication Information
Journal of the Korean Data and Information Science Society / v.23, no.4, 2012 , pp. 683-691 More about this Journal
Abstract
In $4{\times}4$ graeco-latin square design, powers of rank transformed statistic for testing the main effect are superior to powers of parametric statistic without regard to the effect structure with equally or unequally spaced effect levels as well as the type of population distributions such as exponential, double exponential, normal and uniform distribution. As numbers of block effect or effect sizes are decreased, powers of rank transformed statistic are much higher than powers of parametric statistic. In case that block effects are smaller than a main effect or one block effect is higher than other block effects, powers of rank transformed statistic are much higher than powers of parametric statistic in $4{\times}4$ graeco-latin square design with three block effects and one main effect.
Keywords
$4{\times}4$ graeco-latin square design; ANOVA statistic; fixed effect; rank transformation;
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Times Cited By KSCI : 3  (Citation Analysis)
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