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Title: Bayesian robustness in meta-analysis for studies with zero responses
Authors: Vázquez Polo, Francisco José 
Moreno, E.
Negrín, M. A. 
Martel, M. 
UNESCO Clasification: 530204 Estadística económica
Keywords: Bayesian inference
Noninformative priors
Sarmanov and intrinsic link distribution
Testing on meta-parameters
Issue Date: 2016
Project: Nuevos Desarrollos en Métodos Cuantitativos Bayesianos. Aplicaciónes en Evaluación Económica de Tratamientos Mediante Meta-Análisis y Medición de Riesgos Con Datos Actuariales 
Journal: Pharmaceutical Statistics 
Abstract: Statistical meta-analysis is mostly carried out with the help of the random effect normal model, including the case of discrete random variables. We argue that the normal approximation is not always able to adequately capture the underlying uncertainty of the original discrete data. Furthermore, when we examine the influence of the prior distributions considered, in the presence of rare events, the results from this approximation can be very poor. In order to assess the robustness of the quantities of interest in meta-analysis with respect to the choice of priors, this paper proposes an alternative Bayesian model for binomial random variables with several zero responses. Particular attention is paid to the coherence between the prior distributions of the study model parameters and the meta-parameter. Thus, our method introduces a simple way to examine the sensitivity of these quantities to the structure dependence selected for study. For illustrative purposes, an example with real data is analysed, using the proposed Bayesian meta-analysis model for binomial sparse data.
ISSN: 1539-1604
DOI: 10.1002/pst.1741
Source: Pharmaceutical Statistics[ISSN 1539-1604],v. 15(3), p. 230-237
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