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Rank transformation analysis for 4 $\times$ 4 balanced incomplete block design  

Choi, Young-Hun (Department of Information and Statistics, Hanshin University)
Publication Information
Journal of the Korean Data and Information Science Society / v.21, no.2, 2010 , pp. 231-240 More about this Journal
Abstract
If only fixed effects exist in a 4 $\times$ 4 balanced incomplete block design, powers of FR statistic for testing a main effect show the highest level with a few replications. Under the exponential and double exponential distributions, FR statistic shows relatively high powers with big differences as compared with the F statistic. Further in a traditional balanced incomplete block design, powers of FR statistic having a fixed main effect and a random block effect show superior preference for all situations without regard to the effect size of a main effect, the parameter size and the type of population distributions of a block effect. Powers of FR statistic increase in a high speed as replications increase. Overall power preference of FR statistic for testing a main effect is caused by unique characteristic of a balanced incomplete block design having one main and block effect with missing observations, which sensitively responds to small increase of main effect and sample size.
Keywords
4 $\times$ 4 balanced incomplete block design; mixed effect; order statistic; power;
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Times Cited By KSCI : 4  (Citation Analysis)
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