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On the frequentist and Bayesian approaches to hypothesis testing
Moreno, Elías (Universidad de Granada)
Girón, F. Javier (Universidad de Almería)

Data: 2006
Resum: Hypothesis testing is a model selection problem for which the solution proposed by the two main statistical streams of thought, frequentists and Bayesians, substantially differ. One may think that this fact might be due to the prior chosen in the Bayesian analysis and that a convenient prior selection may reconcile both approaches. However, the Bayesian robustness viewpoint has shown that, in general, this is not so and hence a profound disagreement between both approaches exists. In this paper we briefly revise the basic aspects of hypothesis testing for both the frequentist and Bayesian procedures and discuss the variable selection problem in normal linear regression for which the discrepancies are more apparent. Illustrations on simulated and real data are given.
Drets: Aquest document està subjecte a una llicència d'ús Creative Commons. Es permet la reproducció total o parcial i la comunicació pública de l'obra, sempre que no sigui amb finalitats comercials, i sempre que es reconegui l'autoria de l'obra original. No es permet la creació d'obres derivades. Creative Commons
Llengua: Anglès
Document: article ; recerca ; publishedVersion
Matèria: Bayes factor ; Consistency ; Intrinsic priors ; Loss function ; Model posterior probability ; Pvalues
Publicat a: SORT : statistics and operations research transactions, Vol. 30, Núm. 1 (January-June 2006) , p. 3-54, ISSN 1696-2281

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