Contrasting Bayesian analysis of survey data and clinical trials.

Although both surveys and clinical trials are amenable to Bayesian hierarchical modelling, the general aims, constraints and actual analysis of each can often vary considerably. First, examples are presented showing how Bayesian hierarchical modelling can be used to produce estimates for small areas from survey data and, also, how it can be used to combine data from clinical trials. Then, it will be shown how surveys and clinical trials may differ with respect to the presence of design effects/selection biases and with the ability to validate models. The impact of the design on modelling will be highlighted and a class of sample selection models will be shown to help alleviate the design's influence. Although surveys generally have enough data to validate many features of a model, clinical trials may not, leaving sensitivity analysis as a means to prior acceptance. Some design issues, contrasting Bayesian with frequentist methods, will also be discussed. Published in 2001 by John Wiley & Sons, Ltd.

[1]  P Gustafson,et al.  Robustness considerations in Bayesian analysis , 1996, Statistical methods in medical research.

[2]  Donald Malec,et al.  Small Area Inference for Binary Variables in the National Health Interview Survey , 1997 .

[3]  Stephen E. Fienberg,et al.  Reconsidering the fundamental contributions of Fisher and Neyman on experimentation and sampling , 1996 .

[4]  W. Davis,et al.  Model-based small area estimates of overweight prevalence using sample selection adjustment. , 1999, Statistics in medicine.

[5]  Stephen E. Fienberg,et al.  From the inside out and the outside in: Combining experimental and sampling structures , 1988 .

[6]  L. Joseph,et al.  Placing trials in context using Bayesian analysis. GUSTO revisited by Reverend Bayes. , 1995, JAMA.

[7]  Shelley Zacks Bayes Sequential Designs of Fixed Size Samples from Finite Populations , 1969 .

[8]  D J Spiegelhalter,et al.  Bayesian approaches to random-effects meta-analysis: a comparative study. , 1995, Statistics in medicine.

[9]  Joseph Sedransk,et al.  Bayesian Optimization of the Estimation of the Age Composition of a Fish Population , 1982 .

[10]  Roderick J. A. Little,et al.  Statistical Analysis with Missing Data , 1988 .

[11]  S. MacEachern,et al.  A semiparametric Bayesian model for randomised block designs , 1996 .

[12]  Joseph Sedransk,et al.  A Bayesian Procedure for Imputing Missing Values in Sample Surveys , 1986 .

[13]  J. Berger Statistical Decision Theory and Bayesian Analysis , 1988 .

[14]  Roderick J. A. Little,et al.  Estimating a Finite Population Mean from Unequal Probability Samples , 1983 .

[15]  D K Stangl,et al.  Prediction and decision making using Bayesian hierarchical models. , 1995, Statistics in medicine.

[16]  C. McCulloch,et al.  A Note on the Existence of the Posterior Distribution for a Class of Mixed Models for Binomial Responses , 1995 .

[17]  Joseph L Schafer,et al.  Analysis of Incomplete Multivariate Data , 1997 .

[18]  D J Spiegelhalter,et al.  Comparison of Bayesian with group sequential methods for monitoring clinical trials. , 1989, Controlled clinical trials.

[19]  P. Thall,et al.  Bayesian sequential monitoring designs for single-arm clinical trials with multiple outcomes. , 1995, Statistics in medicine.

[20]  David J. Spiegelhalter,et al.  Bayesian Approaches to Randomized Trials , 1994, Bayesian Biostatistics.

[21]  M. Ghosh Constrained Bayes Estimation with Applications , 1992 .

[22]  S E Fienberg,et al.  Combining Cognitive and Statistical Approaches to Survey Design , 1989, Science.

[23]  Donald A. Berry,et al.  Group sequential clinical trials: a classical evaluation of Bayesian decision-theoretic designs , 1994 .

[24]  D. Rubin,et al.  Multiple Imputation for Nonresponse in Surveys , 1989 .

[25]  R. Kass,et al.  Reference Bayesian Methods for Generalized Linear Mixed Models , 2000 .

[26]  Malay Ghosh,et al.  Bayesian Methods for Finite Population Sampling , 1997 .

[27]  D. Berry,et al.  Interim analyses in clinical trials: classical vs. Bayesian approaches. , 1985, Statistics in medicine.

[28]  D. Rubin,et al.  Intention‐to‐treat analysis and the goals of clinical trials , 1995, Clinical pharmacology and therapeutics.

[29]  T. Louis Estimating a population of parameter values using Bayes and empirical Bayes methods , 1984 .