Several new estimators of the between-study variability in a heterogeneous random effects meta-analysis model are derived. One of them can be interpreted as the empirical Bayes procedure for a diffuse prior with the given prior mean. Another is the unbiased estimator which is locally optimal for small values of the parameter. These procedures are compared to the traditional DerSimonian-Laird procedure and the Hedges estimator by means of their mean absolute error, as well as by the quadratic risk of the treatment effect. Confidence intervals are derived by using these estimators and studied via a Monte Carlo study which supports their usage.
Citation: Journal of the Royal Statistical Society Series B-Statistical Methodology
Pub Type: Journals
Confidence intervals, DerSimonian-Laird estimator, diffuse prior, empirical Bayes approach, heteroscedasticity, random effects model, unbiased estimators.