IDEAS home Printed from https://ideas.repec.org/a/eee/jmvana/v205y2025ics0047259x24000836.html
   My bibliography  Save this article

Birge ratio method for modeling dark uncertainty in multivariate meta-analyses and inter-laboratory studies

Author

Listed:
  • Bodnar, Olha
  • Bodnar, Taras

Abstract

In the paper, we introduce a new approach for combining multivariate measurements obtained in individual studies. The procedure extends the Birge ratio method, a commonly used approach in physics in the univariate case, such as for the determination of physical constants, to multivariate observations. Statistical inference procedures are derived for the parameters of the multivariate location-scale model, which is related to the multivariate Birge ratio method. The new approach provides an alternative to the methods based on the application of the multivariate random effects model, which is commonly used for multivariate meta-analyses and inter-laboratory comparisons. In two empirical illustrations, we show that the introduced multivariate Birge ratio approach yields confidence intervals for the elements of the overall mean vector that are considerably narrower than those obtained by the methods derived under the multivariate random effects model.

Suggested Citation

  • Bodnar, Olha & Bodnar, Taras, 2025. "Birge ratio method for modeling dark uncertainty in multivariate meta-analyses and inter-laboratory studies," Journal of Multivariate Analysis, Elsevier, vol. 205(C).
    • Handle: RePEc:eee:jmvana:v:205:y:2025:i:c:s0047259x24000836
    DOI: 10.1016/j.jmva.2024.105376
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0047259X24000836
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.jmva.2024.105376?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

    for a different version of it.

    References listed on IDEAS

    as
    1. Samaradasa Weerahandi & Ching-Ray Yu, 2020. "Exact distributions of statistics for making inferences on mixed models under the default covariance structure," Journal of Statistical Distributions and Applications, Springer, vol. 7(1), pages 1-14, December.
    2. 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.
    3. Bodnar, Olha & Bodnar, Taras, 2024. "Gibbs sampler approach for objective Bayesian inference in elliptical multivariate meta-analysis random effects model," Computational Statistics & Data Analysis, Elsevier, vol. 197(C).
    4. 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.
    5. Andrew L. Rukhin, 2017. "Estimation of the common mean from heterogeneous normal observations with unknown variances," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 79(5), pages 1601-1618, November.
    6. William E. Strawderman & Andrew L. Rukhin, 2010. "Simultaneous estimation and reduction of nonconformity in interlaboratory studies," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 72(2), pages 219-234, March.
    7. Andrew L. Rukhin, 2013. "Estimating heterogeneity variance in meta-analysis," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 75(3), pages 451-469, June.
    8. Crippa, Alessio & Orsini, Nicola, 2016. "Multivariate Dose-Response Meta-Analysis: The dosresmeta R Package," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 72(c01).
    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. Bodnar, Olha & Bodnar, Taras, 2021. "Objective Bayesian meta-analysis based on generalized multivariate random effects model," Working Papers 2021:5, Örebro University, School of Business.
    2. Bodnar, Olha & Bodnar, Taras, 2024. "Gibbs sampler approach for objective Bayesian inference in elliptical multivariate meta-analysis random effects model," Computational Statistics & Data Analysis, Elsevier, vol. 197(C).
    3. Elena Kulinskaya & Stephan Morgenthaler & Robert G. Staudte, 2014. "Combining Statistical Evidence," International Statistical Review, International Statistical Institute, vol. 82(2), pages 214-242, August.
    4. Bodnar, Olha & Eriksson, Viktor, 2021. "Bayesian model selection: Application to adjustment of fundamental physical constants," Working Papers 2021:7, Örebro University, School of Business.
    5. Sofia Dias & Alex J. Sutton & Nicky J. Welton & A. E. Ades, 2013. "Evidence Synthesis for Decision Making 3," Medical Decision Making, , vol. 33(5), pages 618-640, July.
    6. Morris, Tim P & White, Ian R & Pham, Tra My & Quartagno, Matteo, 2023. "How to check a simulation study," OSF Preprints cbr72, Center for Open Science.
    7. Nelson, Jon Paul, 2020. "Fixed-effect versus random-effects meta-analysis in economics: A study of pass-through rates for alcohol beverage excise taxes," Economics Discussion Papers 2020-1, Kiel Institute for the World Economy (IfW Kiel).
    8. Ibrahim Y. Tawbe, 2023. "Environmental disclosure programs and birth weight: a meta- analysis," Working Papers 2023-02, CRESE.
    9. Alberto Aiolfi & Emanuele Asti & Emanuele Rausa & Giulia Bonavina & Gianluca Bonitta & Luigi Bonavina, 2018. "Use of C-reactive protein for the early prediction of anastomotic leak after esophagectomy: Systematic review and Bayesian meta-analysis," PLOS ONE, Public Library of Science, vol. 13(12), pages 1-13, December.
    10. Dan Jackson & Sylwia Bujkiewicz & Martin Law & Richard D. Riley & Ian R. White, 2018. "A matrix†based method of moments for fitting multivariate network meta†analysis models with multiple outcomes and random inconsistency effects," Biometrics, The International Biometric Society, vol. 74(2), pages 548-556, June.
    11. repec:osf:metaar:2bj85_v1 is not listed on IDEAS
    12. Cebiroglu, Gökhan & Hautsch, Nikolaus & Walsh, Christopher, 2019. "Revisiting the stealth trading hypothesis: Does time-varying liquidity explain the size-effect?," CFS Working Paper Series 625, Center for Financial Studies (CFS).
    13. Luisa C Eggenschwiler & Anne W S Rutjes & Sarah N Musy & Dietmar Ausserhofer & Natascha M Nielen & René Schwendimann & Maria Unbeck & Michael Simon, 2022. "Variation in detected adverse events using trigger tools: A systematic review and meta-analysis," PLOS ONE, Public Library of Science, vol. 17(9), pages 1-24, September.
    14. 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.
    15. Layan Sukik & Maryam Alyafei & Manale Harfouche & Laith J Abu-Raddad, 2019. "Herpes simplex virus type 1 epidemiology in Latin America and the Caribbean: Systematic review and meta-analytics," PLOS ONE, Public Library of Science, vol. 14(4), pages 1-20, April.
    16. Vladislav Morozov, 2022. "Inference on Extreme Quantiles of Unobserved Individual Heterogeneity," Papers 2210.08524, arXiv.org, revised Jun 2025.
    17. Trood, Michael D. & Spivak, Benjamin L. & Ogloff, James R.P., 2021. "A systematic review and meta-analysis of the effects of judicial supervision on recidivism and well-being factors of criminal offenders," Journal of Criminal Justice, Elsevier, vol. 74(C).
    18. Amel Adel & Dirk Berkvens & Emmanuel Abatih & Abdelkrim Soukehal & Juana Bianchini & Claude Saegerman, 2016. "Evaluation of Immunofluorescence Antibody Test Used for the Diagnosis of Canine Leishmaniasis in the Mediterranean Basin: A Systematic Review and Meta-Analysis," PLOS ONE, Public Library of Science, vol. 11(8), pages 1-16, August.
    19. Adam Bystrzycki & Yesul Kim & Mark Fitzgerald & Lorena Romero & Steven Clare, 2018. "Heads-Up-Displays (HUDs) and their Impact on Cognitive Load during Task Performance - A Protocol for Systematic Review," Biomedical Journal of Scientific & Technical Research, Biomedical Research Network+, LLC, vol. 2(3), pages 2701-2704, February.
    20. Deirdre K. Tobias & Aruna D. Pradhan & Edward K. Duran & Chunying Li & Yiqing Song & Julie E. Buring & Nancy R. Cook & Samia Mora & JoAnn E. Manson, 2025. "Vitamin D supplementation vs. placebo and incident type 2 diabetes in an ancillary study of the randomized Vitamin D and Omega-3 Trial," Nature Communications, Nature, vol. 16(1), pages 1-8, December.
    21. Alícia Dorneles Dornelles & Osvaldo Artigalás & André Anjos da Silva & Dora Lucia Vallejo Ardila & Taciane Alegra & Tiago Veiga Pereira & Filippo Pinto e Vairo & Ida Vanessa Doederlein Schwartz, 2017. "Efficacy and safety of intravenous laronidase for mucopolysaccharidosis type I: A systematic review and meta-analysis," PLOS ONE, Public Library of Science, vol. 12(8), pages 1-18, August.

    More about this item

    Keywords

    ;
    ;
    ;
    ;
    ;

    Statistics

    Access and download statistics

    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:eee:jmvana:v:205:y:2025:i:c:s0047259x24000836. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/wps/find/journaldescription.cws_home/622892/description#description .

    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.