Appendix D. A comparison of multidimensioanl fuzzy set ordination (MFSO) to canonical correspondence analysis (CCA) and canonical analysis of principal coordinates (CAPC) for the three-dimensional simulated coenospaces.
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FIG. D1. Boxplots comparing the results of multidimensional fuzzy set ordination (MFSO), canonical correspondence analysis (CCA), and canonical analysis of principal coordinates (CAPC) on ten replicates of simulated three-dimensional coenospaces. Panel A shows the correlation of the pairwise distances in the ordination scatterplot with the underlying dissimilarity of distance matrix (Bray-Curtis for FSO and CAPC, chi-square distance for CCA). Panel B shows the sum-of-squares errors of the ordination scatterplots to the simulated samples calculated by symmetric procrustes analysis. Panel C shows the root mean-squared errors of the ordination scatterplots to the known distribution of simulated samples calculated by symmetric procrustes analysis. |