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Some corrections of the significance level in meta-analysis

Author

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  • Böckenhoff, Annette
  • Hartung, Joachim

Abstract

In many applications we obtain test statistics by combining estimates from different experiments or studies. The usual combined estimator of the overall effect in independent studies leads to systematic overestimates of the significance level, see Li et al. (1994). This results in a great number of unjustified significant evidences. By examination of the convexity of composed functions involved and application of higher and inverse moments of the chi-square distribution we propose corrections for the estimated standard deviation of the overall effect estimator. Analytical results and simulations show that we improve the estimated significance level in such models.

Suggested Citation

  • 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.
    • Handle: RePEc:zbw:sfb475:199823
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    Citations

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    Cited by:

    1. Joachim Hartung & Dogan Argaç & Kepher Makambi, 2002. "Small sample properties of tests on homogeneity in one—way Anova and Meta—analysis," Statistical Papers, Springer, vol. 43(2), pages 197-235, April.
    2. Klaus Martin & Annette Böckenhoff, 2006. "Analysis of variance of paired data without repetition of measurement," AStA Advances in Statistical Analysis, Springer;German Statistical Society, vol. 90(3), pages 365-384, September.
    3. Sidik, Kurex & Jonkman, Jeffrey N., 2006. "Robust variance estimation for random effects meta-analysis," Computational Statistics & Data Analysis, Elsevier, vol. 50(12), pages 3681-3701, August.
    4. Hartung, Joachim, 1998. "An alternative method for meta-analysis," Technical Reports 1998,46, Technische Universität Dortmund, Sonderforschungsbereich 475: Komplexitätsreduktion in multivariaten Datenstrukturen.
    5. Böckenhoff, Annette & Hartung, Joachim, 2000. "Meta-analysis: Different methods - different conclusions?," Technical Reports 2000,08, Technische Universität Dortmund, Sonderforschungsbereich 475: Komplexitätsreduktion in multivariaten Datenstrukturen.
    6. Dog-super-˜an Argac & Kepher Makambi & Joachim Hartung, 2001. "A note on testing the nullity of the between group variance in the one-way random effects model under variance heterogeneity," Journal of Applied Statistics, Taylor & Francis Journals, vol. 28(2), pages 215-222.
    7. 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.
    8. Kepher Henry Makambi, 2002. "On pooling data summaries in the absence of interactions “response-by-study”," Statistical Methods & Applications, Springer;Società Italiana di Statistica, vol. 11(1), pages 127-138, February.

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