Comparison of conditional tests on Poisson data
Francesca R. Crucinio, Roberto Fontana · PORTO Publications Open Repository TOrino (Politecnico di Torino) · 2017
Abstract We compare four conditional tests for Poisson data through a simulation study: the exact binomial test, its asymptotic approximation, a Markov Chain Monte Carlo test and the standard permutation test. Despite being non-parametric, we observe that permutation tests are as effective as the others. From a theoretical point of view we justify this result by observing that the orbits of permutations form a good partition of the conditional space.