Simple t-distribution based tests for meta-analysis

J. Hartung and K. H. Makambi

No 1999,38, Technical Reports from Technische Universität Dortmund, Sonderforschungsbereich 475: Komplexitätsreduktion in multivariaten Datenstrukturen

Abstract: The variance function of the optimal estimator of the overall mean in a heteroscedastic one-way ANOVA model is dominated by positive semi-definite quadratic functions. This makes it possible to develop closely related tests on the nullity of the overall mean parameter in one-way fixed and random effects ANOVA models, which make use of the quantiles of the t-distribution. These tests are founded on the convexity arguments similar to Hartung (1976). Simulation results indicate that the proposed tests attain type I error rates which are far more acceptable than those of the commonly used tests.

Keywords: Fixed and random effects models; type I error rate; estimated degrees of freedom; balanced and unbalanced samples; homoscedastic and heteroscedastic error variances; replication (search for similar items in EconPapers)
Date: 1999
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