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Simple t-distribution based tests for meta-analysis

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  • Hartung, J.
  • Makambi, K. H.

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.

Suggested Citation

  • Hartung, J. & Makambi, K. H., 1999. "Simple t-distribution based tests for meta-analysis," Technical Reports 1999,38, Technische Universität Dortmund, Sonderforschungsbereich 475: Komplexitätsreduktion in multivariaten Datenstrukturen.
    • Handle: RePEc:zbw:sfb475:199938
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    File URL: https://www.econstor.eu/bitstream/10419/77316/2/1999-38.pdf
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    References listed on IDEAS

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    1. Böckenhoff, Annette & Hartung, Joachim, 1998. "Some corrections of the significance level in meta-analysis," Technical Reports 1998,23, Technische Universität Dortmund, Sonderforschungsbereich 475: Komplexitätsreduktion in multivariaten Datenstrukturen.
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