Estimation by data augmentation in regression models with continuous and discrete covariates measured with error

Statistics in Medicine

Volumn 16, Issue 1-3, 1997, Pages 189-201

  Kuha, Jouni ^a  

^a NUFFIELD COLLEGE   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

ANALYTICAL ERROR; CLASSIFICATION; CONFERENCE PAPER; COVARIANCE; DATA ANALYSIS; REGRESSION ANALYSIS; SIMULATION;

EID: 0031016403     PISSN: 02776715     EISSN: None     Source Type: Journal    
DOI: 10.1002/(sici)1097-0258(19970130)16:2<189::aid-sim479>3.0.co;2-h     Document Type: Conference Paper

References (19)

1. Carroll, R. J., Ruppert, D. and Stefanski, L. A. Measurement Error in Nonlinear Models, Chapman and Hall, 1995.
2. Tanner, M. A. and Wong, W. H. 'The calculation of posterior distributions by data augmentation' (with discussion), Journal of the American Statistical Association, 82, 528-550 (1987).
3. Richardson, S. and Gilks, W. R. 'Conditional independence models for epidemiological studies with covariate measurement error', Statistics in Medicine, 12, 1703-1722 (1993).
4. Kuha, J. and Skinner, C. 'Categorical data analysis and misclassification', in Lyberg, L., Biemer, P., Collins, M., De Leeuw, E., Dippo, C., Schwarz, N. and Trewin, D. (eds), Survey Measurement and Process Quality, Wiley, New York, 1996.
5. McCullagh, P. and Neider, J. A. Generalized Linear Models, Chapman and Hall, London, 1989.
6. Clayton, D. 'Models for the longitudinal analysis of cohort and case-control studies with inaccurately measured exposures. Application: dietary ratio of polyunsaturated to saturated fats and subsequent risk of coronary heart disease', in Dwyer, J. H., Feinleib, M., Lippert, P.and Hoffmeister, H. (eds), Statistical Models for Longitudinal Studies of Health, Oxford University Press, Oxford, 1991.
7. Lauritzen, S. L. and Wermuth, N. 'Graphical models for associations between variables, some of which are qualitative and some quantitative', Annals of Statistics, 17, 31-57 (1989).
8. Olkin, I. and Tate, R. F. 'Multivariate correlation models with mixed discrete and continuous variables', Annals of Mathematical Statistics, 32, 448-465 (1961).
9. Agresti, A. Categorical Data Analysis, Wiley, New York, 1990.
10. Carroll, R. J. and Stefanski, L. A. 'Approximate quasi-likelihood estimation in models with surrogate predictors', Journal of the American Statistical Association, 85, 652-663 (1990).
11. Espeland, M. A. and Odoroff, C. L. 'Log-linear models for doubly sampled categorical data fitted by the EM algorithm', Journal of the American Statistical Association, 80, 663-670 (1985).
12. Espeland, M. A. and Hui, S. L. 'A general approach to analyzing epidemiologic data that contain misclassification errors', Biometrics, 43, 1001-1012 (1987).
13. Kuha, J. 'Data augmentation in regression models with mixed covariates measured with error', Technical report, Department of Social Statistics, University of Southampton, 1995.
14. Geman, S. and Geman, D. 'Stochastic relaxation, Gibbs distribution and the Bayesian restoration of images', IEEE Transactions on Pattern Analysis and Machine Intelligence, 6, 721-741 (1984).
15. Smith, A. F. M. and Roberts, G. O. 'Bayesian computation via the Gibbs sampler and related Markov chain Monte Carlo methods' (with discussion), Journal of the Royal Statistical Society, Series B, 55, 3-23 (1993).
16. Rosner, B., Spiegelman, D. and Willet, W. C. 'Correction of logistic regression relative risk estimates and confidence intervals for measurement error: the case of multiple covariates measured with error', American Journal of Epidemiology, 132, 734-745 (1990).
17. Rubin, D. B. Multiple Imputation for Nonresponse in Surveys, Wiley, New York, 1987.
18. Dempster, A. P., Laird, N. W. and Rubin, D. B. 'Maximum likelihood from incomplete data via the EM algorithm' (with discussion), Journal of the Royal Statistical Society, Series B, 39, 1-38 (1977).
19. Rubin, D. B. 'Computational aspects of analysing random effects/longitudinal models', Statistics in Medicine, 11, 1809-1821 (1990).