A procedure for combining sample standardized mean differences and vote counts to estimate the population standardized mean difference in fixed effects models

Missing effect-size estimates pose a difficult problem in meta-analysis. conventional procedures for dealing with this problem include discarding studies with missing estimates and imputing single values for missing estimates (e.g., 0, mean). An alternative procedure, which combines effect-size estimates and vote counts, is proposed for handling missing estimates. The combined estimator has several desirable features: (a) It uses all the information available from studies in a research synthesis, (b) it is consistent, (c) it is more efficient than other estimators, (d) it has known variance, and (e) it gives weight to all studies proportional to the Fisher information they provide. The combined procedure is the method of choice in a research synthesis when some studies do not provide enough information to compute effect-size estimates but do provide information about the direction or statistical significance of results.