Comparison of conditional tests on Poisson data

Crucinio, Francesca Romana; Fontana, Roberto

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.

Comparison of conditional tests on Poisson data / Crucinio, Francesca Romana; Fontana, Roberto. - ELETTRONICO. - (2017), pp. 333-338. ((Intervento presentato al convegno Statistics and Data Science: new challenges, new generations 28–30 June 2017 tenutosi a Firenze nel 28–30 June 2017.

Titolo:	Comparison of conditional tests on Poisson data
Autori:	CRUCINIO, FRANCESCA ROMANA FONTANA, ROBERTO
Data di pubblicazione:	2017
Abstract:	Abstract We compare four conditional tests for Poisson data through a simulation study: the exac...t 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.
ISBN:	978-88-6453-521-0
Appare nelle tipologie:	4.1 Contributo in Atti di convegno

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