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st: anova on ranks


From   David Airey <[email protected]>
To   [email protected]
Subject   st: anova on ranks
Date   Mon, 6 Feb 2006 21:29:36 -0600

.

A couple times in the past on this list, ANOVA on ranks came up. If I remember, the Friedman was suggested, but this test is meant to handle problems when one of the two factors is a blocking factor, like in a repeated measures ANOVA. The ranking transformation in this test is done within blocking levels. I recently had reason to look up literature on use of rank transformation in a factorial design and found these references cited in Sokal and Rohlf's Biometry text:

Scheirer CJ, Ray WS, Hare N (1976) The analysis of ranked data derived
from completely randomized factorial designs. Biometrics 32:429-434

Groggel DJ, Skillings JH (1986) Distribution-free tests for main effects
in multifactor designs. American Statistician 40:99-102

Cheers,

-Dave
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