An Introduction to a Bayesian Method for Meta-analysis

The Confidence Profile Method is a new Bayesian method that can be used to assess technologies where the available evidence involves a variety of experimental designs, types of outcomes, and effect measures; a variety of biases; combinations of biases and nested biases; uncertainty about biases; an underlying variability in the parameter of interest; indirect evidence; and technology families. The result of an analysis with the Confidence Profile Method is a posterior distribution for the parameter of interest, posterior distributions for other parameters, and a covariance matrix for all the parameters in the model. The posterior distributions incorporate all the uncertainty the assessor chooses to describe about any of the parameters used in the analysis. Key words: Confidence Profile Method; bias; Bayesian analysis; meta-analysis. (Med Decis Making 1990;10:15-23)

[1]  Debabrata Basu,et al.  On the Elimination of Nuisance Parameters , 1977 .

[2]  David M. Eddy,et al.  The Confidence Profile Method: A Bayesian Method for Assessing Health Technologies , 1989, Oper. Res..

[3]  N. Laird,et al.  Meta-analysis in clinical trials. , 1986, Controlled clinical trials.

[4]  R. Wolpert,et al.  Likelihood Principle , 2022, The SAGE Encyclopedia of Research Design.

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