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On pooling data summaries in the absence of interactions “response-by-study”

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  • Kepher Henry Makambi

    (Howard University Cancer Center)

Abstract

The standard hypothesis testing procedure in meta-analysis (or multi-center clinical trials) in the absence of treatment-by-center interaction relies on approximating the null distribution of the standard test statistic by a standard normal distribution. For relatively small sample sizes, the standard procedure has been shown by various authors to have poor control of the type I error probability, leading to too many liberal decisions. In this article, two test procedures are proposed, which rely on thet—distribution as the reference distribution. A simulation study indicates that the proposed procedures attain significance levels closer to the nominal level compared with the standard procedure.

Suggested Citation

  • 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.
    • Handle: RePEc:spr:stmapp:v:11:y:2002:i:1:d:10.1007_bf02511450
    DOI: 10.1007/BF02511450
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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.
    2. Makambi, Kepher Henry & Argaç, Doğan & Hartung, Joachim, 2000. "On the meta-analysis of treatment differences in heteroscedastic samples," Technical Reports 2000,10, Technische Universität Dortmund, Sonderforschungsbereich 475: Komplexitätsreduktion in multivariaten Datenstrukturen.
    3. Dean A. Follmann & Michael A. Proschan, 1999. "Valid Inference in Random Effects Meta-Analysis," Biometrics, The International Biometric Society, vol. 55(3), pages 732-737, September.
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