Table 2 Pairwise comparisons of marginal means of plant biomass between microbial treatments across plant diversities. We built a linear mixed-effect model of plant biomass predicted by plant diversity, leaf inoculation, soil inoculation and their interactions with plant composition as a random term. Plant diversity was treated as a character variable in the model to show how plant biomass differ among different diversity levels. The marginal means of plant biomass were extracted from the model and contrast between microbial treatments for each diversity level using T-test. The estimates of pairwise contrasts were reported where positive/negative values indicates positive/negative effect of microbial inoculation on plant biomass (see Table S5 for the statistics, *p < 0.05; **p < 0.01; ***p < 0.001).