Approximate Bayesian Evaluation of Multiple Treatment Effects
Article first published online: 25 MAY 2004
Volume 56, Issue 1, pages 213–219, March 2000
How to Cite
Thall, P. F., Simon, R. M. and Shen, Y. (2000), Approximate Bayesian Evaluation of Multiple Treatment Effects. Biometrics, 56: 213–219. doi: 10.1111/j.0006-341X.2000.00213.x
- Issue published online: 25 MAY 2004
- Article first published online: 25 MAY 2004
- Received August 1998. Revised March 1999. Accepted May 1999.
- Bayesian inference;
- Categorical data;
- Clinical trials;
- Multivariate failure times;
- Survival analysis
Summary. We propose an approximate Bayesian method for comparing an experimental treatment to a control based on a randomized clinical trial with multivariate patient outcomes. Overall treatment effect is characterized by a vector of parameters corresponding to effects on the individual patient outcomes. We partition the parameter space into four sets where, respectively, the experimental treatment is superior to the control, the control is superior to the experimental, the two treatments are equivalent, and the treatment effects are discordant. We compute posterior probabilities of the parameter sets by treating an estimator of the parameter vector like a random variable in the Bayesian paradigm. The approximation may be used in any setting where a consistent, asymptotically normal estimator of the parameter vector is available. The method is illustrated by application to a breast cancer data set consisting of multiple time-to-event outcomes with covariates and to count data arising from a cross-classification of response, infection, and treatment in an acute leukemia trial.