Table 1. Type I error rates of the anova.traitglm test (site-based bootstrap approach based on the negative-binomial likelihood) and the max r/c test (p_max test based on the Poisson likelihood) for 1,000 simulated negative-binomial data sets using the Gaussian response model and n = m =30.

Value in bold represents the inflated error compared to the nominal level of 0.05.

Test procedure	Scenario
	Trait random (z and e)	Environment random (t and x)	Both random (z and x)
anova.traitglm	0.417	0.055	0.045
max r/c	0.047	0.055	0.019