Fig. 3: Examples of associations of varying strength.
Example of a robust (A) and nonrobust (B) association as identified by modeling vibration of effects. Each point represents the association deriving from multiple linear regression between the disease and microbial feature of interest for a different modeling strategy. Y axes are nominal log10 P values. Solid line is nominal statistical significance (P < 0.05). X axes are the beta-coefficient on the binary, independent disease variable of interest. Dotted lines represented the false-discovery rate-adjusted P values. Point colors correspond to cohorts. The solid blue diamond marks the P value and estimates achieved through meta-analysis across all cohorts. The species listed in A was included in the downstream analysis, as it exhibited meta-analytic false-discovery rate (FDR)-adjusted statistical significance, whereas the species in B was not included, as it was not FDR-significant and was not robust, as nominally significant opposite sign results (a Janus Effect) could be achieved with differing model specifications.
