We derive a class of composite estimators of small-area quantities that exploit spatial (distance-related) similarity. They are based on a distribution-free model for the areas, but the estimators are aimed to have optimal design-based properties. Composition is applied also to estimating some of the global parameters on which the small-area estimators… (More)
Meta-analysis is often conducted with only a small number of studies. Adjustments of the (restricted) maximum likelihood estimator of the effect size are derived and their gains in efficiency are explored. The proposed estimators are applied to three sets of studies.