Bayes Factors via MCMC and Path Sampling - The case of Factor Models

[1]  Xiao-Li Meng,et al.  Simulating Normalizing Constants: From Importance Sampling to Bridge Sampling to Path Sampling , 1998 .

[2]  L. Wasserman,et al.  Computing Bayes Factors by Combining Simulation and Asymptotic Approximations , 1997 .

[3]  O. Bunke,et al.  Asymptotic behavior of Bayes estimates under possibly incorrect models , 1998 .

[4]  E. B. Andersen,et al.  Modern factor analysis , 1961 .

[5]  Christian P. Robert,et al.  Monte Carlo Statistical Methods , 2005, Springer Texts in Statistics.

[6]  M. Drton.  Likelihood ratio tests and singularities , 2007, math/0703360.

[7]  Joseph G. Ibrahim,et al.  Monte Carlo Methods in Bayesian Computation , 2000 .

[8]  J. Ghosh,et al.  An Introduction to Bayesian Analysis: Theory and Methods , 2006 .

[9]  H. Rue,et al.  Approximate Bayesian inference for latent Gaussian models by using integrated nested Laplace approximations , 2009 .

[10]  H. Akaike.  Factor analysis and AIC , 1987 .

[11]  Xiao-Li Meng,et al.  SIMULATING RATIOS OF NORMALIZING CONSTANTS VIA A SIMPLE IDENTITY: A THEORETICAL EXPLORATION , 1996 .

[12]  Frederik Brink Nielsen.  Variational Approach to Factor Analysis and Related Models , 2004 .

[13]  Sik-Yum Lee,et al.  Bayesian Selection on the Number of Factors in a Factor Analysis Model , 2002 .

[14]  Radford M. Neal.  Annealed importance sampling , 1998, Stat. Comput..

[15]  M. Newton,et al.  Estimating the Integrated Likelihood via Posterior Simulation Using the Harmonic Mean Identity , 2006 .

[16]  A. Doucet,et al.  Computational Advances for and from Bayesian Analysis , 2004 .

[17]  Jun S. Liu,et al.  Monte Carlo strategies in scientific computing , 2001 .

[18]  David B. Dunson,et al.  Bayesian Model Selection in Factor Analytic Models , 2008 .

[19]  Fiona Steele,et al.  The Analysis and Interpretation of Multivariate Data for Social Scientists , 2002 .

[20]  Geneviève Lefebvre,et al.  Path Sampling to Compute Integrated Likelihoods: An Adaptive Approach , 2009 .

[21]  David B. Dunson,et al.  Bayesian Data Analysis , 2010 .

[22]  Scott M. Lynch,et al.  Introduction to Applied Bayesian Statistics and Estimation for Social Scientists , 2007 .

[23]  David B Dunson,et al.  Default Prior Distributions and Efficient Posterior Computation in Bayesian Factor Analysis , 2009, Journal of computational and graphical statistics : a joint publication of American Statistical Association, Institute of Mathematical Statistics, Interface Foundation of North America.

[24]  J. Ghosh,et al.  Approximations and consistency of Bayes factors as model dimension grows , 2003 .

[25]  T. W. Anderson.  An Introduction to Multivariate Statistical Analysis , 1959 .

[26]  S. Chib.  Marginal Likelihood from the Gibbs Output , 1995 .

[27]  Michael A. West,et al.  BAYESIAN MODEL ASSESSMENT IN FACTOR ANALYSIS , 2004 .

[28]  A. Gelman.  Prior distributions for variance parameters in hierarchical models (comment on article by Browne and Draper) , 2004 .