IDEAS home Printed from https://ideas.repec.org/a/spr/stmapp/v11y2002i1d10.1007_bf02511450.html
   My bibliography  Save this article

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

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/BF02511450
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.

    File URL: https://libkey.io/10.1007/BF02511450?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. 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.
    2. 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.
    3. 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.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Böckenhoff, Annette & Hartung, Joachim, 2000. "Meta-analysis: Different methods - different conclusions?," Technical Reports 2000,08, Technische Universität Dortmund, Sonderforschungsbereich 475: Komplexitätsreduktion in multivariaten Datenstrukturen.
    2. repec:jss:jstsof:36:i03 is not listed on IDEAS
    3. Knapp, Guido & Hartung, Joachim, 2000. "Combined test procedures in the meta-analysis of controlled clinical trials," Technical Reports 2000,09, Technische Universität Dortmund, Sonderforschungsbereich 475: Komplexitätsreduktion in multivariaten Datenstrukturen.
    4. 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.
    5. 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.
    6. Janie McDonald & Patrick D. Gerard & Christopher S. McMahan & William R. Schucany, 2016. "Exact-Permutation-Based Sign Tests for Clustered Binary Data Via Weighted and Unweighted Test Statistics," Journal of Agricultural, Biological and Environmental Statistics, Springer;The International Biometric Society;American Statistical Association, vol. 21(4), pages 698-712, December.
    7. Schmidli, Heinz & Neuenschwander, Beat & Friede, Tim, 2017. "Meta-analytic-predictive use of historical variance data for the design and analysis of clinical trials," Computational Statistics & Data Analysis, Elsevier, vol. 113(C), pages 100-110.
    8. H. M. James Hung & Xiangmin Zhang & Sue-Jane Wang, 2018. "Some Recent Advances on Statistical Approaches for Planning Multi-regional Clinical Trials," Statistics in Biosciences, Springer;International Chinese Statistical Association, vol. 10(2), pages 460-472, August.
    9. Keisuke Hanada & Tomoyuki Sugimoto, 2023. "Inference using an exact distribution of test statistic for random-effects meta-analysis," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 75(2), pages 281-302, April.
    10. Ding‐Geng Chen & Dungang Liu & Xiaoyi Min & Heping Zhang, 2020. "Relative efficiency of using summary versus individual data in random‐effects meta‐analysis," Biometrics, The International Biometric Society, vol. 76(4), pages 1319-1329, December.
    11. 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.
    12. Marchetti, Dalmo & Wanke, Peter F., 2019. "Efficiency in rail transport: Evaluation of the main drivers through meta-analysis with resampling," Transportation Research Part A: Policy and Practice, Elsevier, vol. 120(C), pages 83-100.
    13. Julian P. T. Higgins & Simon G. Thompson & David J. Spiegelhalter, 2009. "A re‐evaluation of random‐effects meta‐analysis," Journal of the Royal Statistical Society Series A, Royal Statistical Society, vol. 172(1), pages 137-159, January.
    14. repec:jss:jstsof:30:i07 is not listed on IDEAS
    15. 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.
    16. Hartung, Joachim, 1998. "An alternative method for meta-analysis," Technical Reports 1998,46, Technische Universität Dortmund, Sonderforschungsbereich 475: Komplexitätsreduktion in multivariaten Datenstrukturen.
    17. Ao Huang & Kosuke Morikawa & Tim Friede & Satoshi Hattori, 2023. "Adjusting for publication bias in meta‐analysis via inverse probability weighting using clinical trial registries," Biometrics, The International Biometric Society, vol. 79(3), pages 2089-2102, September.
    18. Han Chen & Alisa K. Manning & Josée Dupuis, 2012. "A Method of Moments Estimator for Random Effect Multivariate Meta-Analysis," Biometrics, The International Biometric Society, vol. 68(4), pages 1278-1284, December.
    19. G. Baker Stuart & S. Lindeman Karen, 2013. "Revisiting a Discrepant Result: A Propensity Score Analysis, the Paired Availability Design for Historical Controls, and a Meta-Analysis of Randomized Trials," Journal of Causal Inference, De Gruyter, vol. 1(1), pages 51-82, June.
    20. 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.
    21. Evangelos Kontopantelis & David Reeves, 2010. "metaan: Random-effects meta-analysis," Stata Journal, StataCorp LP, vol. 10(3), pages 395-407, September.
    22. Evangelos Kontopantelis & David A Springate & David Reeves, 2013. "A Re-Analysis of the Cochrane Library Data: The Dangers of Unobserved Heterogeneity in Meta-Analyses," PLOS ONE, Public Library of Science, vol. 8(7), pages 1-14, July.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:stmapp:v:11:y:2002:i:1:d:10.1007_bf02511450. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.