Fig. 3

Important features and correlations of parameters between obese children with and without IR were identified. Ranking of variable importance of features identified by random forest (a) and burota (b). (c) Heatmap of Spearman’s correlation coefficients between clinical parameters with significantly changed proteins and the gut microbiota in obese children with and without IR. (d) Mediation model of TNFR1 between s-Citrobacter freundii and fast insulin. * p < 0.05, ** p < 0.01.