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Bayes factor for testing the genetic background of quantitative threshold traits
Author(s) -
Casellas J.,
Piedrafita J.
Publication year - 2006
Publication title -
journal of animal breeding and genetics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.689
H-Index - 51
eISSN - 1439-0388
pISSN - 0931-2668
DOI - 10.1111/j.1439-0388.2006.00606.x
Subject(s) - bayes factor , statistics , cholesky decomposition , bayes' theorem , context (archaeology) , sample size determination , bayesian probability , mathematics , variance (accounting) , multivariate statistics , computer science , econometrics , biology , paleontology , eigenvalues and eigenvectors , physics , accounting , business , quantum mechanics
Summary The recent development of the Bayes factor methodology to test between nested competing models has allowed to evaluate the genetic component of continuous traits through a methodology based on the reparameterization of a variance component model in terms of intra‐class correlation. In this study, we present a modification of that procedure to compare between threshold models that only differ in a bounded variable. An extra data‐augmentation step is required to sample liability, an underlying continuous variable related with phenotypic records through an adequate number of thresholds. In this context, we describe a procedure to sample from a truncated multivariate normal distribution with non‐null covariances between records, taking as starting point the Cholesky factorization and the inclusion of linear restrictions. The method was tested by computer simulations with satisfactory results.