You are not currently logged in.
Access JSTOR through your library or other institution:
Distribution-Free Tests for Main Effects in Multifactor Designs
David J. Groggel and John H. Skillings
The American Statistician
Vol. 40, No. 2 (May, 1986), pp. 99-102
Stable URL: http://www.jstor.org/stable/2684864
Page Count: 4
You can always find the topics here!Topics: Statistics, Rank tests, Design efficiency, Infinity, Graphic design, Matrices, Experiment design, Statistical models, Design analysis, Covariance
Were these topics helpful?See somethings inaccurate? Let us know!
Select the topics that are inaccurate.
Preview not available
This article concerns distribution-free tests for main effects in M ≥ 1 factor designs when the factors are crossed. A single test statistic using Wilcoxon type scores is introduced that can be used for designs with any value of M. We illustrate that the properties of the test statistic, such as limiting distribution and asymptotic relative efficiency (ARE), can be obtained from known properties of test statistics proposed for two-factor designs. Large-sample properties are found based on cell sizes tending to infinity and based on the number of levels of the other factors tending to infinity. It is also shown that the Kruskal-Wallis and Friedman test statistics are special cases.
The American Statistician © 1986 American Statistical Association