%0 Journal Article
%A Gómez Villegas, Miguel Ángel
%A Main Yaque, Paloma
%A Sanz San Miguel, Luis
%T A suitable Bayesian approach in testing point null hypothesis: some examples revisited
%D 2002
%@ 1532-415X
%U https://hdl.handle.net/20.500.14352/56901
%X In the problem of testing the point null hypothesis H-0: theta = theta(0) versus H-1: theta not equal theta(0), with a previously given prior density for the parameter theta, we propose the following methodology: to fix an interval of radius epsilon around theta(0) and assign a prior mass, pi(0), to H-0 computed by the density pi(theta) over the interval (theta(0) - epsilon, theta(0) + epsilon), spreading the remainder, 1 - pi(0), over H-1 according to pi(theta). It is shown that for Lindley's paradox, the Normal model with some different priors and Darwin-Fisher's example, this procedure makes the posterior probability of H-0 and the p-value matching better than if the prior mass assigned to H-0 is 0.5.
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