Handbook of Markov Chain Monte Carlo
A Markov chain Monte Carlo based analysis of a multilevel model for functional MRI data and its applications in environmental epidemiology, educational research, and fisheries science are studied.
POSTERIOR PREDICTIVE ASSESSMENT OF MODEL FITNESS VIA REALIZED DISCREPANCIES
This paper considers Bayesian counterparts of the classical tests for good- ness of fit and their use in judging the fit of a single Bayesian model to the observed data. We focus on posterior…
Comparing correlated correlation coefficients
The purpose of this article is to provide simple but accurate methods for comparing correlation coefficients between a dependent variable and a set of independent variables. The methods are simple…
Maximum likelihood estimation via the ECM algorithm: A general framework
Two major reasons for the popularity of the EM algorithm are that its maximum step involves only complete-data maximum likelihood estimation, which is often computationally simple, and that its…
Simulating Normalizing Constants: From Importance Sampling to Bridge Sampling to Path Sampling
It is shown that the acceptance ratio method and thermodynamic integration are natural generalizations of importance sampling, which is most familiar to statistical audiences.
Modeling covariance matrices in terms of standard deviations and correlations, with application to shrinkage
A statistically motivated decomposition which appears to be relatively unexplored for the purpose of modeling is studied, and a straightforward computational strategy for obtaining the posterior of the covariance matrix is described.
Prevalence of mental illness in immigrant and non-immigrant U.S. Latino groups.
It is suggested that immigrants benefit from a protective context in their country of origin, possibly inoculating them against risk for substance disorders, particularly if they emigrated to the United States as adults.
Posterior Predictive $p$-Values
- Xiao-Li Meng
- 1 September 1994
Extending work of Rubin, this paper explores a Bayesian counterpart of the classical $p$-value, namely, a tail-area probability of a "test statistic" under a null hypothesis. The Bayesian…
SIMULATING RATIOS OF NORMALIZING CONSTANTS VIA A SIMPLE IDENTITY: A THEORETICAL EXPLORATION
A theoretical study of the usefulness of the following simple identity, with focus on (asymptotically) optimal and practical choices of α, and demonstrates that with sensible (not necessarily optimal) choices of β, the simulation error can be reduced by orders of magnitude.
Disparity in depression treatment among racial and ethnic minority populations in the United States.
Disparities in the likelihood of both having access to and receiving adequate care for depression were significantly different for Asians and African Americans in contrast to non-Latino whites.