Here, the authors introduce a fast and unbiased procedure that requires reduced computational effort and produces uniformly distributed null matrices.

Null models are pattern-generating models that deliberately exclude a mechanism of interest, and allow for randomization tests of ecological and biogeographic data. Although they have had a ...

This set is the intersection of the sets of values in its argument matrices. When the intersection is empty, the XSECT function returns a null matrix (zero rows and zero columns). There can be up to ...

The first is a Bernoulli random null model in which the null matrix has the same total number of interactions as the original matrix, albeit randomly positioned.

Asymptotic expansions of the non-null distributions of the likelihood ratio criteria for testing the equality of a covariance matrix, equality of a mean vector and a covariance matrix, independence ...