I'm looking at a community of organisms using simultaneous GLMs via the
manyglm function from this package fits a GLM for every species, each with a common set of predictors.
The sum of likelihood ratios of each model (each species) is the test statistic, and resampling of observations is done to compute the significance.
manyglm function is run, you can analyze the models with
The difference between these two is that
anova.manyglm resamples under the null hypothesis while summary.manyglm` resamples under the alternative hypothesis.
In this package, the resampling scheme is of residuals from the model. I'm making my way through "Bootstrapping Methods and their Applications" (Davison and Hinkley, 1997), but even after reading the chapters on boostrapping for a GLM, I'm still having trouble with the distinction.
So my question is what exactly is the difference between resampling under the null versus the alternative hypothesis?