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The key quantity needed for Bayesian hypothesis testing and model selection is the marginal likelihood for a model, also known as the integrated likelihood, or the marginal probability of the data. In this paper we describe a way to use posterior simulation output to estimate marginal likelihoods. We describe the basic Laplace-Metropolis estimator for(More)
and we are grateful to Alberto Palloni for his very useful written comments prepared for that meeting. Andrew Gross did a great deal of the work necessary to bring the original data to a form in which it could be analyzed, and pointed out the good t of the cubic polynomial to the age eeect. Charles Hirschman has provided leadership and insight throughout(More)
It is well known that genetic association studies are not robust to population stratification. Two widely used approaches for the detection and correction of population structure are principal component analysis and model-based estimation of ancestry. These methods have been shown to give reliable inference on population structure in unrelated samples. We(More)
We demonstrate the flexibility of identity-by-descent (IBD) graphs for genotype imputation and testing relationships between genotype and phenotype. We analyzed chromosome 3 and the first replicate of simulated diastolic blood pressure. IBD graphs were obtained from complete pedigrees and full multipoint marker analysis, facilitating subsequent linkage and(More)
This article describes an interesting application of Markov chain Monte Carlo (MCMC). MCMC is used to assess competing explanations of marital fertility decline. Data collected during the World Fertility Study in Iran are analyzed using methods developed to perform discrete time event history analyses in which unobserved heterogeneity is explicitly(More)
BACKGROUND In the past few years, imputation approaches have been mainly used in population-based designs of genome-wide association studies, although both family- and population-based imputation methods have been proposed. With the recent surge of family-based designs, family-based imputation has become more important. Imputation methods for both designs(More)