Conditional independence models for epidemiological studies with covariate measurement error.

We construct a unifying representation of the structure of measurement error problems with particular reference to situations commonly encountered in epidemiological studies, and outline how estimation of the parameters of interest can be carried out in a Bayesian framework using Gibbs sampling. We show how this approach can be implemented for designs involving continuous measurement errors assessed through a validation substudy, and discuss our results on simulated data.

[1]  D. Spiegelhalter,et al.  Modelling Complexity: Applications of Gibbs Sampling in Medicine , 1993 .

[2]  J. Besag,et al.  Spatial Statistics and Bayesian Computation , 1993 .

[3]  S W Duffy,et al.  External validation, repeat determination, and precision of risk estimation in misclassified exposure data in epidemiology. , 1992, Journal of epidemiology and community health.

[4]  Charles J. Geyer,et al.  Practical Markov Chain Monte Carlo , 1992 .

[5]  D. Rubin,et al.  Inference from Iterative Simulation Using Multiple Sequences , 1992 .

[6]  W. Gilks,et al.  Adaptive Rejection Sampling for Gibbs Sampling , 1992 .

[7]  M. J. Bayarri,et al.  Difficulties and ambiguities in the definition of a likelihood function , 1992 .

[8]  S Richardson,et al.  Analysis of disease risks using ancillary risk factors, with application to job-exposure matrices. , 1992, Statistics in medicine.

[9]  L. Tierney.  Exploring Posterior Distributions Using Markov Chains , 1992 .

[10]  Adrian F. M. Smith,et al.  Efficient generation of random variates via the ratio-of-uniforms method , 1991 .

[11]  M H Gail,et al.  A bibliography and comments on the use of statistical models in epidemiology in the 1980s. , 1991, Statistics in medicine.

[12]  A. Chesher.  The effect of measurement error , 1991 .

[13]  K. Liang,et al.  Adjustment for non-differential misclassification error in the generalized linear model. , 1991, Statistics in medicine.

[14]  John Geweke,et al.  Evaluating the accuracy of sampling-based approaches to the calculation of posterior moments , 1991 .

[15]  B G Armstrong,et al.  The effects of measurement errors on relative risk regressions. , 1990, American journal of epidemiology.

[16]  S. E. Hills,et al.  Illustration of Bayesian Inference in Normal Data Models Using Gibbs Sampling , 1990 .

[17]  B Rosner,et al.  Correction of logistic regression relative risk estimates and confidence intervals for measurement error: the case of multiple covariates measured with error. , 1990, American journal of epidemiology.

[18]  Raymond J. Carroll,et al.  Approximate Quasi-likelihood Estimation in Models with Surrogate Predictors , 1990 .

[19]  Steffen L. Lauritzen,et al.  Independence properties of directed markov fields , 1990, Networks.

[20]  Adrian F. M. Smith,et al.  Sampling-Based Approaches to Calculating Marginal Densities , 1990 .

[21]  J. N. R. Jeffers,et al.  Graphical Models in Applied Multivariate Statistics. , 1990 .

[22]  Stephen Senn,et al.  Covariance analysis in generalized linear measurement error models. , 1989, Statistics in medicine.

[23]  B Rosner,et al.  Correction of logistic regression relative risk estimates and confidence intervals for systematic within-person measurement error. , 2006, Statistics in medicine.

[24]  J R Marshall,et al.  The use of dual or multiple reports in epidemiologic studies. , 1989, Statistics in medicine.

[25]  W. Willett,et al.  An overview of issues related to the correction of non-differential exposure measurement error in epidemiologic studies. , 1989, Statistics in medicine.

[26]  T T Chen.  A review of methods for misclassified categorical data in epidemiology. , 1989, Statistics in medicine.

[27]  L A Stefanski,et al.  A Measurement Error Model for Binary and Ordinal Regression Title: a Measurement Error Model for Binary and Ordinal Regression , 2022 .

[28]  Raymond J. Carroll,et al.  Semiparametric Estimation in Logistic Measurement Error Models , 1989 .

[29]  A A Tsiatis,et al.  The impact that group sequential tests would have made on ECOG clinical trials. , 1989, Statistics in medicine.

[30]  Alice S. Whittemore,et al.  Approximations for Regression with Covariate Measurement Error , 1988 .

[31]  Adrian F. M. Smith,et al.  Bayesian computation via the gibbs sampler and related markov chain monte carlo methods (with discus , 1993 .

[32]  S L Hui,et al.  A general approach to analyzing epidemiologic data that contain misclassification errors. , 1987, Biometrics.

[33]  Daniel W. Schafer,et al.  Covariate measurement error in generalized linear models , 1987 .

[34]  Raymond J. Carroll,et al.  Covariate Measurement Error in Logistic Regression , 1985 .

[35]  Ben Armstrong,et al.  Measurement error in the generalised linear model , 1985 .

[36]  Donald Geman,et al.  Stochastic Relaxation, Gibbs Distributions, and the Bayesian Restoration of Images , 1984, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[37]  S Greenland,et al.  The effect of misclassification in the presence of covariates. , 1980, American journal of epidemiology.

[38]  W. K. Hastings,et al.  Monte Carlo Sampling Methods Using Markov Chains and Their Applications , 1970 .

[39]  N. Metropolis,et al.  Equation of State Calculations by Fast Computing Machines , 1953, Resonance.