Testing and Estimating the Non-Disjunction Fraction in Meiosis I using Reference Priors

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...

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Bibliographic Details
Published in:Biometrical journal 2007-12, Vol.49 (6), p.824-839
Main Authors: Loschi, Rosangela H., Monteiro, João V. D., Rocha, Gustavo H. M. A., Mayrink, Vinicius D.
Format: Article
Language:English
Subjects:
Applications
Bayes factor
Bayes Theorem
Biology, psychology, social sciences
Distribution theory
Down Syndrome - genetics
Exact sciences and technology
Full Bayesian significance test
General topics
Humans
Mathematics
Meiosis - genetics
Models, Genetic
Monte Carlo Method
Non-informative priors
Nondisjunction, Genetic
Probability and statistics
Probability theory and stochastic processes
Sciences and techniques of general use
Statistics
Trisomy
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Summary: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)
ISSN:0323-3847
1521-4036
DOI:10.1002/bimj.200710364