[R] Can one use correlations (or R^2) as data for an ANOVA?

From: Jose Quesada <quesada_at_gmail.com>
Date: Thu 10 Aug 2006 - 02:25:36 EST


Dear all,

This may seem obvious for some of you, but it got me thinking. Can one use correlations (or R^2) as data for an ANOVA?

The case in hand: I have several models fitting the same data (individual fits per subject). The different models fitting the same guy will produce different R^2, I was wondering if these could be used as dependent variable in a repeated measures design where the repeated factors are the different models.

For some reason, this "analysis of variance on 'variance explained' as data rings a bell as something not methodologically correct. On the other hand, R^2 may be distributed in a way that fulfill of the ANOVA assumptions.

Is it an aberration?

Thanks a lot in advance,
-Jose



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