Multidimensional scaling informed by F-statistic: Visualizing grouped microbiome data with inference
Fig 3
F-informed MDS is robust to the choice of hyperparameters.
(A) Shepard plots comparing pairwise distances from F-informed MDS (F-MDS) and supervised MDS (superMDS) under both zero (metric MDS) and nonzero hyperparameter settings (,
). Distances in the original high-dimensional space were computed using Bray-Curtis dissimilarity; distances in the two-dimensional embedding used Euclidean metric. (B) For each method, the Pearson correlation coefficient was calculated between original and embedded distances. (C) Normalized stress (Stress-1) was computed for each embedding. Analysis used semisynthetic datasets with N = 200 (see the “Semisynthetic data” section of the Methods). Error bars indicate standard deviation across triplicate datasets.