Bayesian Meta-Analysis: A Practical Introduction

by Robert Grant, Gian Luca Di Tanna

Meta-analysis is the statistical combination of previously conducted studies, often from summary statistics but sometimes with individual participant data. It is widespread in life sciences and is gaining popularity in economics and beyond. In many real-life meta-analyses, challenges in the source information, such as unreported statistics or biases, can be incorporated using Bayesian methods. This book provides an approachable introduction for researchers who are new to Bayes, meta-analysis, or both. There is an emphasis on hands-on learning using a variety of software packages.

Key

· Introductory chapters assume no prior experience or mathematical training, and are aimed at non-statistical researchers

· Examples of basic meta-analyses in seven different software BUGS, JAGS, Stan, bayesmeta, brms, Stata, and JASP

· Practical advice on extracting information from studies, eliciting expert opinions, managing project decisions, and writing up findings

· Discussion of specific problems, including publication bias, unreported statistics, and a mixture of study designs, with code examples

· Accompanying online blog and forum, with all code and data from the book, plus more translations to different software

This book aims to bridge the gap between the researcher who wants to carry out tailored meta-analysis and the techniques they need, which have previously been available only in mathematically or computationally demanding publications.

Cover acrylic and coffee on card, Robert Grant, 2024

304 pages, Hardcover

Published June 26, 2025

About the author

Robert Grant (January 24, 1852 – May 19, 1940) was an American author and a jurist who participated in a review of the Sacco and Vanzetti trial a few weeks before their executions.

There are also other authors on Goodreads with the name Robert Grant, including poet, hymn-writer, chairman of directors of the British East India Company and Governor of Bombay Sir Robert Grant MP (1779-1838), who wrote on the trade and government of India and the early history of the East India Company, as well as publishing a book of sacred poems.