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An Investigation of the Type I Error and Power Properties of the Rank Transform Procedure in Factorial ANOVA
Shlomo S. Sawilowsky, R. Clifford Blair and James J. Higgins
Journal of Educational Statistics
Vol. 14, No. 3 (Autumn, 1989), pp. 255-267
Stable URL: http://www.jstor.org/stable/1165018
Page Count: 13
You can always find the topics here!Topics: False positive errors, Statistics, Gaussian distributions, Test theory, Null condition, Rank tests, Factorial design, Applied statistics, Educational statistics, Sample size
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This study examined the Type I error and power properties of the rank transform test when employed in the context of a balanced 2×2×2 fixed effects ANOVA. The results showed the rank transform procedure to be erratic with respect to both Type I error and power. Under some circumstances the test was both robust and powerful, whereas in other circumstances it was decidedly nonrobust and manifested power considerably below that of the usual ANOVA F test. It is recommended that researchers avoid this test except in those specific circumstances where its properties are well understood.
Journal of Educational Statistics © 1989 American Educational Research Association