One more thought. Sender: [EMAIL PROTECTED] Precedence: bulk Reply-To: [EMAIL PROTECTED]
In a univariate anova the distinction I made in the previous note is less clear. The "division" in an anova is by a scalar constant (square root of the error mean square) so that the relative differences between pairs of means stays the same. The relative differences between pairs of means stays the same. In a MANOVA the "division" is by a matrix (the projection of the group means onto inversely weighted within-group eigenvectors) so that differences in some directions are stretched and differences in other directions are compressed. Unless the within-group covariance matrix is proportional to an identity matrix, the relative distances between pairs of means will change - perhaps drastically. Thus the distinction between these two kinds of distances is especially important for the analysis of multivariate data and one must think about their relevance for the questions you wish to ask. ----------------------- F. James Rohlf State University of New York, Stony Brook, NY 11794-5245 www: http://life.bio.sunysb.edu/ee/rohlf == Replies will be sent to list. For more information see http://life.bio.sunysb.edu/morph/morphmet.html.
