And actually, MRM isn't quite part of the Mantel family, although there are strong mathematical relationships:
Goslee, S. 2009. Correlation analysis of dissimilarity matrices. Plant Ecology. Online at: http://www.springerlink.com/content/k4051127l6430nr1/ for subscribing institutions. It isn't a good solution, but rather an attempt to reconcile the different perspectives mathematically. Sarah > There has been a very similar discussion in the Ecology recently between my > good friends, Hanna Tuomisto & co vs. Pierre Legendre & co. However, the > point here and above exactly was that you cannot use dissimilarities on the > RHS (lack of independence), but you must use rectangular data in dbRDA. If > you use distances on the RHS you won't have dbRDA but you get Mantel family > methods (like MRM in ecodist). The problem, of course, is how to map > distances onto Euclidean space (= rectangular data) *and* still study the > effects of the distances instead of the effects of *location*. I don't know > any really good solution here, but all proposed solutions have their > problems. Pierre Legendre, Daniel Borcard and Hanna Tuomisto have all tried > to convince me of their point of view, and while all their conflicting > arguments make sense, they are not yet an optimal solution. > > Cheers, Jari Oksanen >> -- Sarah Goslee http://www.functionaldiversity.org _______________________________________________ R-sig-ecology mailing list R-sig-ecology@r-project.org https://stat.ethz.ch/mailman/listinfo/r-sig-ecology