[en] In this article, we use a characterization of the set of sample counts that do not match with the null hypothesis of the test of goodness of fit. Two direct applications arise: first, to instantaneously generate data sets whose corresponding asymptotic P-values belong to a certain pre-defined range; and second, to compute exact P-values for this test in an efficient way. We present both issues before illustrating them by analyzing a couple of data sets. Method’s efficiency is also assessed by means of simulations. We focus on Pearson’s X2 statistic but the case of likelihood-ratio statistic is also discussed.
Disciplines :
Mathématiques
Auteur, co-auteur :
Magis, David ; Université de Liège - ULiège > Département de mathématique > Statistique mathématique
Langue du document :
Anglais
Titre :
An efficient method to generate data and compute exact P-values in goodness-of-fit testing
Titre traduit :
[fr] Une méthode efficace pour générer des données et calculer des P-valeurs exactes avec le test de conformité
Date de publication/diffusion :
2008
Titre du périodique :
Communications in Statistics: Simulation and Computation
