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Testing and Estimating the Non‐Disjunction Fraction in Meiosis I using Reference Priors
Author(s) -
Loschi Rosangela H.,
Monteiro João V. D.,
Rocha Gustavo H. M. A.,
Mayrink Vinicius D.
Publication year - 2007
Publication title -
biometrical journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.108
H-Index - 63
eISSN - 1521-4036
pISSN - 0323-3847
DOI - 10.1002/bimj.200710364
Subject(s) - prior probability , bayes factor , fraction (chemistry) , bayes' theorem , mathematics , bayesian probability , statistics , statistical hypothesis testing , computer science , econometrics , chemistry , organic chemistry
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. (© 2007 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)