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Adaptive Monte Carlo for binary regression with many regressors

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Lamnisos, Demetris, Griffin, Jim E. and Steel, Mark F. J. (2009) Adaptive Monte Carlo for binary regression with many regressors. Working Paper. University of Warwick. Centre for Research in Statistical Methodology, Coventry.

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Abstract

This article describes a method for efficient posterior simulation for Bayesian variable selection in probit regression models with many regressors but few observations. A proposal on model space is described which contains a tuneable parameter. An adaptive approach to choosing this tuning parameter is described which allows automatic, e±cient computation in these models. The methods is applied to the analysis of gene expression data.

Item Type: Working or Discussion Paper (Working Paper)
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Science > Statistics
Library of Congress Subject Headings (LCSH): Regression analysis, Monte Carlo method
Series Name: Working papers
Publisher: University of Warwick. Centre for Research in Statistical Methodology
Place of Publication: Coventry
Date: 2009
Volume: Vol.2009
Number: No.41
Number of Pages: 13
Status: Not Peer Reviewed
Access rights to Published version: Open Access
Funder: University of Warwick. Centre for Research in Statistical Methodology
References: J. H. Albert and S. Chib (1993). Bayesian analysis of binary and polychotomous response data. Journal of the American Statistical Association 88: 669-679. U. Alon, N. Barkai, D. A. Notterman, K. Gish, D. Ybarra, D. Mack and A. Levine (1999). Broad Patterns of Gene Expression Revealed by Clustering Analysis of Tumor and Normal Colon Tissues Probe by Oligonucleotide Arrays. Proceedings of the National Academy of Sciences of the USA 96: 6745-6750. C. Andrieu and J. Thoms (2008). A tutorial on adaptive MCMC. Statistics and Computing 18: 343-373. Y. F. Atchade and J. S. Rosenthal (2005). On Adaptive Markov Chain Monte Carlo Algorithms. Bernoulli 11: 815-828. S. P. Brooks, P. Giudici and G. O. Roberts (2003). Efficient Construction of Reversible Jump Markov Chain Monte Carlo Proposal Distributions. Journal of the Royal Statistical Society, Series B, 65, 3-55. S. Dudoit, J. Fridlyand and T. P. Speed (2002). Comparison of Discrimination Methods for the Classification of Tumours Using Gene Expression Data. Journal of the American Statistical Association, 97, 77-87. C. J. Geyer (1992). Practical Markov Chain Monte Carlo. Statistical Science, 7, 473-511. P. J. Green (2003). Trans-Dimensional Markov chain Monte Carlo. In P. J. Green, N. L. Hjort and S. Richardson (eds), Highly Structured Stochastic Systems, 179-198. Oxford, U. K.: Oxford University Press. H. Haario, E. Saksman and J. Tamminen (2001). An adaptive Metropolis algorithm. Bernoulli 7: 223-242. C. C. Holmes and L. Held (2006). Bayesian Auxiliary Variable Models for Binary and Multinomial Regression. Bayesian Analysis 1: 145-168. T. S. Jaakkola and M. I. Jordan (2000). Bayesian parameter estimation via variational methods. Statistics and Computing 10: 25-37. D. S. Lamnisos, J. E. Griffin and M. F. J. Steel (2009). Transdimensional sampling algorithms for Bayesian variable selection in classification problems with many more variable than observations. Journal of Computational and Graphical Statistics 18: 592-612. K. E. Lee, N. Sha, R. Dougherty, M. Vannucci and B. K. Mallick (2003). Gene Selection: A Bayesian Variable Selection Approach. Bioinformatics, 19, 90-97. J. S. Liu (2001). Monte Carlo Strategies in Scientific Computing. New York: Springer- Verlag. D. J. Nott and R. Kohn (2005). Adaptive sampling for Bayesian variable selection. Biometrika 92 747-763. Y. Qi and T. S. Jaakkola (2007). Parameter Expanded Variational Bayesian Methods. In B. Scholkopf, J. Platt, T. Hofmann (eds.), Advances in Neural Information Processing Systems 19, 1097-1104 . Cambridge: MIT Press G. O. Roberts and J. S. Rosenthal (2001). Optimal Scaling of Various Metropolis- Hastings Algorithms. Statistical Science 16, 351-367. J. S. Rosenthal (2008). Markov chain Monte Carlo Algorithms: Theory and Practice. MCQMC'08 Conference Proceedings. N. Sha, M. Vannucci, P. J. Brown, M. Trower and G. Amphlett (2003). Gene Selection in Arthritis Classification with Large-Scale Microarray Expression Profiles. Comparative and Functional Genomics, 4, 171-181. N. Sha, M. Vannucci, M. G. Tadesse, P. J. Brown, I. Dragoni, N. Davies, T. C. Roberts, A. Contestabile, M. Salmon, C. Buckley and F. Falciani (2004). Bayesian Variable Selection in Multinomial Probit Models to Identify Molecular Signatures of Disease Stage. Biometrics, 60, 812-819. C. Sherlock and G. O. Roberts (2009). Optimal scaling of the random walk Metropolis on elliptically symmetric unimodal targets. Bernoulli, 15, 774-798. K. Y. Yeung, R. E. Bumgarner and A. E. Raftery (2005). Bayesian Model Averaging: Development of an Improved Multi-Class Gene Selection and Classification Tool for Microarray Data. Bioinformatics, 21, 2394-2402.
URI: http://wrap.warwick.ac.uk/id/eprint/35228

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