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Re: st: 2 way anova by permutation?


From   David Airey <david.airey@vanderbilt.edu>
To   statalist@hsphsun2.harvard.edu
Subject   Re: st: 2 way anova by permutation?
Date   Sun, 17 Feb 2008 17:29:17 -0600

.

Hey, that's an idea. Whereas there seems to be no controversy for one way anova by permutation, all bets are off when it is two way or greater with nested and or random terms.

Permutation tests for multi-factorial analysis of variance (2003) Anderson and Braak. Journal of Statistical Computation and Simulation. Vol 73(2) pp 85-113.

A new random permutation test in ANOVA models (2006) Jung, Jhun, and Song. Statistical Papers. Vol 48 pp 47-62.


On Feb 17, 2008, at 4:54 PM, Joseph Coveney wrote:


David Airey wrote:

Has anyone programmed a 2 way factorial anova by permutation?

--------------------------------------------------------------------------------

You could reformulate the model as a "cell means model" (Milliken & Johnson,
Chapter 9) and then analyze with permutation as a one-way anova, returning
the tests of hypotheses via contrasts.

Joseph Coveney

G. A. Milliken and D. E. Johnson, _Analysis of Messy Data Volume I: Designed
Experiments_ (London: Chapman & Hall, 1992).


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