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Detalles Bibliográficos
Autor Principal: Bickel, David R.
Formato: Preprint
Publicado: 2002
Subjects:
Acceso en liña:https://arxiv.org/abs/math/0212028
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Table of Contents:
  • Given a multiple testing situation, the null hypotheses that appear to have sufficiently low probabilities of truth may be rejected using a simple, nonparametric method of decision theory. This applies not only to posterior levels of belief, but also to conditional probabilities in the sense of relative frequencies, as seen from their equality to local false discovery rates (dFDRs). This approach neither requires the estimation of probability densities, nor of their ratios. Decision theory can inform the selection of false discovery rate weights. Decision theory is applied to gene expression microarrays with discussion of the applicability of the assumption of weak dependence.