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A Pragmatic Bayesian Perspective on Correlation Analysis : The exoplanetary gravity - stellar activity case.
Figueira, P; Faria, J P; Adibekyan, V Zh; Oshagh, M; Santos, N C.
Afiliación
  • Figueira P; Instituto de Astrofísica e Ciências do Espaço, Universidade do Porto, CAUP, Rua das Estrelas, 4150-762, Porto, Portugal. pedro.gueira@astro.up.pt.
  • Faria JP; Instituto de Astrofísica e Ciências do Espaço, Universidade do Porto, CAUP, Rua das Estrelas, 4150-762, Porto, Portugal.
  • Adibekyan VZ; Departamento de Física e Astronomia, Faculdade de Ciências, Universidade do Porto, Rua do Campo Alegre, 4169-007, Porto, Portugal.
  • Oshagh M; Instituto de Astrofísica e Ciências do Espaço, Universidade do Porto, CAUP, Rua das Estrelas, 4150-762, Porto, Portugal.
  • Santos NC; Instituto de Astrofísica e Ciências do Espaço, Universidade do Porto, CAUP, Rua das Estrelas, 4150-762, Porto, Portugal.
Orig Life Evol Biosph ; 46(4): 385-393, 2016 Nov.
Article en En | MEDLINE | ID: mdl-27220496
We apply the Bayesian framework to assess the presence of a correlation between two quantities. To do so, we estimate the probability distribution of the parameter of interest, ρ, characterizing the strength of the correlation. We provide an implementation of these ideas and concepts using python programming language and the pyMC module in a very short (∼ 130 lines of code, heavily commented) and user-friendly program. We used this tool to assess the presence and properties of the correlation between planetary surface gravity and stellar activity level as measured by the log([Formula: see text]) indicator. The results of the Bayesian analysis are qualitatively similar to those obtained via p-value analysis, and support the presence of a correlation in the data. The results are more robust in their derivation and more informative, revealing interesting features such as asymmetric posterior distributions or markedly different credible intervals, and allowing for a deeper exploration. We encourage the reader interested in this kind of problem to apply our code to his/her own scientific problems. The full understanding of what the Bayesian framework is can only be gained through the insight that comes by handling priors, assessing the convergence of Monte Carlo runs, and a multitude of other practical problems. We hope to contribute so that Bayesian analysis becomes a tool in the toolkit of researchers, and they understand by experience its advantages and limitations.
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Colección: 01-internacional Base de datos: MEDLINE Asunto principal: Planetas / Estrellas Celestiales / Gravitación Tipo de estudio: Health_economic_evaluation Idioma: En Revista: Orig Life Evol Biosph Asunto de la revista: BIOLOGIA / BIOLOGIA MOLECULAR Año: 2016 Tipo del documento: Article País de afiliación: Portugal Pais de publicación: Países Bajos
Buscar en Google
Añadir a Mi BVS
Imprimir
XML
PubMed Links

Colección: 01-internacional Base de datos: MEDLINE Asunto principal: Planetas / Estrellas Celestiales / Gravitación Tipo de estudio: Health_economic_evaluation Idioma: En Revista: Orig Life Evol Biosph Asunto de la revista: BIOLOGIA / BIOLOGIA MOLECULAR Año: 2016 Tipo del documento: Article País de afiliación: Portugal Pais de publicación: Países Bajos