-------- Original Message --------
Subject: correlation coefficient between two or more matrices
Date: Fri, 24 Jun 2011 04:58:54 -0400
From: Manabu Sakamoto <m.sakam...@bristol.ac.uk>
To: morphmet@morphometrics.org

Dear list,

I am trying to get the correlation coefficient (or coefficient of determination) between two or more matrices. I have one matrix of response variables and one or more matrices of predictor variables. My goal is to compute the proportion of variance in my response variable that can be explained by the predictor variable/variables. I think a regression is appropriate for this situation rather than a 2B-PLS.

However, I am at a loss as to how one should do this. The software implementations that I am aware of (PAST, R) seems to compute the correlation coefficient and R-squared values for each response variable at a time, but I want a single R-squared value for the correlation between the matrices.

I know the Mantel test in PAST computes the Pearson's correlation coefficient but I've been reading that the Mantel test has low power and should be avoided.

Can someone on the list give me suggestions?

many thanks in advance,

best wishes,
Manabu

Manabu Sakamoto, PhD
Postdoctoral Research Associate
School of Earth Sciences
University of Bristol
Bristol, UK, BS8 1RJ

Tel: +44 (0) 117 954 5421
Fax: +44 (0)117 925 3385
Email: m.sakam...@bristol.ac.uk



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