I'm reviewing a paper. In it the authors use a genetic distance metric to created a distance matrix between subjects, then they run classic MDS on this distance matrix. Throughout the MS they call this a principal components analysis (PCA). I was trained to call this principal coordinates analysis (PCoA) or classic Torgerson's multidimensional scaling. Can anyone clarify which terms are correct, and if more than one, which is preferred?
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3See http://stats.stackexchange.com/questions/14002/whats-the-difference-between-principal-components-analysis-and-multidimensional – Ellis Valentiner Aug 21 '13 at 20:34
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In PCA, you usually have a objects by variables dataset as the input. In PCoA, the input is a square distance matrix.This is their difference. Main math operations and theory behind both are essentially the same. – ttnphns Oct 03 '20 at 14:13