-------- Original Message --------
Subject: MorphoJ and CVA
Date: Wed, 25 Apr 2012 13:46:30 -0400
From: Robert Ward <r.w...@bangor.ac.uk>
To: morphmet@morphometrics.org

Please forgive me if I'm making an obvious error. I'm trying to reconcile different outputs relating to CVA results in MorphoJ.

The analysis is looking for sex differences in a 6-landmark shape and the output from MorphoJ is shown below (I left out the Procrustes tests and canonical coefficients). The MorphoJ output seems to suggest that CVA was not able to find a set of shape features to make a highly reliable discrimination, p=.06, not terrible but not great.

On the other hand, if I export the CV1 scores from that analysis, and compare the male and female scores, then I get highly significant differences with either a two-sample t-test, t(85)=3.8, p=.0002, or a two-sample permutation test, Z=3.55, p=.0004.

So I reckon I am misunderstanding something somewhere. If CVA is finding a vector through shape space that best discriminates the two groups, and the CV1 score reflects position on this vector, then shouldn't it be fine to test for a sex difference by a two-sample test of some kind? If so, then I wonder why the big discrepancy between the MorphoJ results, and tests using the CV1 scores?

Thanks for your help,
Rob

Canonical Variate Analysis: CVA x6 ... Sex
Dataset: mouthx6
Classification criterion: Sex
Groups   Observations
1.      F       40
2.      M       48

Variation among groups, scaled by the inverse of the within-group variation
        Eigenvalues     % Variance       Cumulative %
 1.      0.16891938       100.000         100.000

Mahalanobis distances among groups:
        F
M          0.8160

P-values from permutation tests (10000 permutation rounds) for Mahalanobis distances among groups:
        F
M       0.0621


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