Authors: Hartung, Joachim
Makambi, K. H.
Title: Simple t-distribution Based Tests for Meta-Analysis
Language (ISO): en
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 fifixed 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.
Subject Headings: balanced and unbalanced samples
estimated degrees of freedom
fixed and random effects models
homoscedastic and heteroscedastic error variances
type I error rate
Issue Date: 1999
Provenance: Universitätsbibliothek Dortmund
Appears in Collections:Sonderforschungsbereich (SFB) 475

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