Multiple hypothesis testinga Bayesian approach

  1. Gómez Villegas, Miguel Ángel
  2. González Pérez, Beatriz
  3. Rodríguez, María Teresa
  4. Salazar, Isabel
  5. Sanz, Luis
Liburua:
XXX Congreso Nacional de Estadística e Investigación Operativa y de las IV Jornadas de Estadística Pública: actas

Argitaletxea: Comité organizador del XXX Congreso Nacional de Estadística e Investigación Operativa y IV Jornadas de Estadística Pública

ISBN: 978-84-690-7249-3

Argitalpen urtea: 2007

Biltzarra: Congreso Nacional de Estadística e Investigación Operativa (30. 2007. Valladolid)

Mota: Biltzar ekarpena

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Laburpena

Recently, the field of multiple hypothesis testing has experimented a great expansion, basically because of the new methods developed in the field of genomics. This new methods allows the scientists to process simultaneously thousands of null hypothesis. The frequentist approach to this problem is made by using different testing error measures that allow to control the Type I error rate at a certain desired level. In this paper, a parametric Bayesian analysis is developed to produced a list of rejected hypothesis which will be declared significant (interesting) for a more detailed analysis. The results are compared with the frequentist False Discovery Rate (FDR) methodology. Simulation examples show the differences between both approaches.

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