Testing and estimating the non-disjunction fraction in Meiosis I using reference priors |
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Authors: | Loschi Rosangela H Monteiro João V D Rocha Gustavo H M A Mayrink Vinicius D |
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Institution: | Departamento de Estatística - ICEx, Universidade Federal de Minas Gerais, Av. Antonio Carlos 6627, Pampulha, 31270-901 Belo Horizonte, MG, Brazil. loschi@est.ufmg.br |
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Abstract: | In this paper we analyze the fraction of non-disjunction in Meiosis I assuming reference (non-informative) priors. We consider Jeffreys's approach to built a non-informative prior (Jeffreys's prior) for the fraction of non-disjunction in Meiosis I. We prove that Jeffreys's prior is a proper distribution. We perform Monte Carlo studies in order to compare Bayes estimates obtained assuming Jeffreys's and uniform priors. We consider full Bayesian significance test (FBST) and Bayes factor (BF) for testing precise hypothesis on the fraction of non-disjunction in Meiosis I. The ultimate goal of this paper is to compare these two test procedures through simulation studies using both prior specifications. An application to Down Syndrome data is also presented. |
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Keywords: | Bayes factor Full Bayesian significance test Non‐informative priors Trisomy |
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