IDEAS home Printed from https://ideas.repec.org/a/sae/jedbes/v48y2023i1p70-102.html
   My bibliography  Save this article

Power Approximations for Overall Average Effects in Meta-Analysis With Dependent Effect Sizes

Author

Listed:
  • Mikkel Helding Vembye

    (The Danish Center for Social Science Research, VIVE)

  • James Eric Pustejovsky

    (University of Wisconsin-Madison)

  • Therese Deocampo Pigott

    (Georgia State University)

Abstract

Meta-analytic models for dependent effect sizes have grown increasingly sophisticated over the last few decades, which has created challenges for a priori power calculations. We introduce power approximations for tests of average effect sizes based upon several common approaches for handling dependent effect sizes. In a Monte Carlo simulation, we show that the new power formulas can accurately approximate the true power of meta-analytic models for dependent effect sizes. Lastly, we investigate the Type I error rate and power for several common models, finding that tests using robust variance estimation provide better Type I error calibration than tests with model-based variance estimation. We consider implications for practice with respect to selecting a working model and an inferential approach.

Suggested Citation

  • Mikkel Helding Vembye & James Eric Pustejovsky & Therese Deocampo Pigott, 2023. "Power Approximations for Overall Average Effects in Meta-Analysis With Dependent Effect Sizes," Journal of Educational and Behavioral Statistics, , vol. 48(1), pages 70-102, February.
    • Handle: RePEc:sae:jedbes:v:48:y:2023:i:1:p:70-102
    DOI: 10.3102/10769986221127379
    as

    Download full text from publisher

    File URL: https://journals.sagepub.com/doi/10.3102/10769986221127379
    Download Restriction: no
    File URL: https://libkey.io/10.3102/10769986221127379?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
    ---><---

    References listed on IDEAS

    as
    1. Franklin Satterthwaite, 1941. "Synthesis of variance," Psychometrika, Springer;The Psychometric Society, vol. 6(5), pages 309-316, October.
    2. Elizabeth Tipton & James E. Pustejovsky, 2015. "Small-Sample Adjustments for Tests of Moderators and Model Fit Using Robust Variance Estimation in Meta-Regression," Journal of Educational and Behavioral Statistics, , vol. 40(6), pages 604-634, December.
    3. White, Halbert, 1982. "Maximum Likelihood Estimation of Misspecified Models," Econometrica, Econometric Society, vol. 50(1), pages 1-25, January.
    4. Jeffrey C. Valentine & Therese D. Pigott & Hannah R. Rothstein, 2010. "How Many Studies Do You Need?," Journal of Educational and Behavioral Statistics, , vol. 35(2), pages 215-247, April.
    5. Kenward, Michael G. & Roger, James H., 2009. "An improved approximation to the precision of fixed effects from restricted maximum likelihood," Computational Statistics & Data Analysis, Elsevier, vol. 53(7), pages 2583-2595, May.
    6. Viechtbauer, Wolfgang, 2010. "Conducting Meta-Analyses in R with the metafor Package," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 36(i03).
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Irsova, Zuzana & Bom, Pedro R. D. & Havranek, Tomas & Rachinger, Heiko, 2023. "Spurious Precision in Meta-Analysis of Observational Research," MetaArXiv 3qp2w_v1, Center for Open Science.

    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. Joshi, Megha & Pustejovsky, James E & Beretvas, S. Natasha, 2021. "Cluster Wild Bootstrapping to Handle Dependent Effect Sizes in Meta-Analysis with a Small Number of Studies," MetaArXiv x6uhk_v1, Center for Open Science.
    2. Vembye, Mikkel Helding & Pustejovsky, James E & Pigott, Terri, 2022. "Power Approximations for Overall Average Effects in Meta-Analysis with Dependent Effect Sizes," MetaArXiv 6tp9y_v1, Center for Open Science.
    3. Waheed, Hassam, 2023. "Nudging smokers away from lighting up: A meta-analysis of framing effect in current smokers," Journal of Behavioral and Experimental Economics (formerly The Journal of Socio-Economics), Elsevier, vol. 104(C).
    4. van den Akker, Olmo R. & van Assen, Marcel A.L.M. & van Vugt, Mark & Wicherts, Jelte M., 2020. "Sex differences in trust and trustworthiness: A meta-analysis of the trust game and the gift-exchange game," Journal of Economic Psychology, Elsevier, vol. 81(C).
    5. Vembye, Mikkel Helding & Pustejovsky, James E & Pigott, Terri, 2022. "Power Approximations for Meta-Analysis of Dependent Effect Sizes," MetaArXiv 6tp9y, Center for Open Science.
    6. Sandra Feijóo & Raquel Rodríguez-Fernández, 2021. "A Meta-Analytical Review of Gender-Based School Bullying in Spain," IJERPH, MDPI, vol. 18(23), pages 1-13, December.
    7. Welz, Thilo & Viechtbauer, Wolfgang & Pauly, Markus, 2023. "Cluster-robust estimators for multivariate mixed-effects meta-regression," Computational Statistics & Data Analysis, Elsevier, vol. 179(C).
    8. Pustejovsky, James E & Tipton, Elizabeth, 2020. "Meta-Analysis with Robust Variance Estimation: Expanding the Range of Working Models," MetaArXiv vyfcj, Center for Open Science.
    9. Katsonga-Phiri, Tiamo & Lewis, Jarrett T. & Murray, Maxwell & DuBois, David L. & Grant, Kathryn E., 2021. "Mental health interventions for African children: A meta-analytic review," Children and Youth Services Review, Elsevier, vol. 127(C).
    10. John Protzko & Jon Krosnick & Leif Nelson & Brian A. Nosek & Jordan Axt & Matt Berent & Nicholas Buttrick & Matthew DeBell & Charles R. Ebersole & Sebastian Lundmark & Bo MacInnis & Michael O’Donnell , 2024. "RETRACTED ARTICLE: High replicability of newly discovered social-behavioural findings is achievable," Nature Human Behaviour, Nature, vol. 8(2), pages 311-319, February.
    11. Latha Velayudhan & Katie McGoohan & Sagnik Bhattacharyya, 2021. "Safety and tolerability of natural and synthetic cannabinoids in adults aged over 50 years: A systematic review and meta-analysis," PLOS Medicine, Public Library of Science, vol. 18(3), pages 1-42, March.
    12. P.A.V.B. Swamy & I-Lok Chang & Jatinder S. Mehta & William H. Greene & Stephen G. Hall & George S. Tavlas, 2016. "Removing Specification Errors from the Usual Formulation of Binary Choice Models," Econometrics, MDPI, vol. 4(2), pages 1-21, June.
    13. Carlo Altavilla & Raffaella Giacomini & Giuseppe Ragusa, 2017. "Anchoring the yield curve using survey expectations," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 32(6), pages 1055-1068, September.
    14. Fernando Rios-Avila & Gustavo Canavire-Bacarreza, 2018. "Standard-error correction in two-stage optimization models: A quasi–maximum likelihood estimation approach," Stata Journal, StataCorp LP, vol. 18(1), pages 206-222, March.
    15. Sandy Fréret & Denis Maguain, 2017. "The effects of agglomeration on tax competition: evidence from a two-regime spatial panel model on French data," International Tax and Public Finance, Springer;International Institute of Public Finance, vol. 24(6), pages 1100-1140, December.
    16. Ai, Chunrong & Chen, Xiaohong, 2007. "Estimation of possibly misspecified semiparametric conditional moment restriction models with different conditioning variables," Journal of Econometrics, Elsevier, vol. 141(1), pages 5-43, November.
    17. Lada, Emily K. & Wilson, James R., 2006. "A wavelet-based spectral procedure for steady-state simulation analysis," European Journal of Operational Research, Elsevier, vol. 174(3), pages 1769-1801, November.
    18. Gregory, Allan W. & McCurdy, Thomas H., 1986. "The unbiasedness hypothesis in the forward foreign exchange market: A specification analysis with application to France, Italy, Japan, the United Kingdom and West Germany," European Economic Review, Elsevier, vol. 30(2), pages 365-381, April.
    19. Habarurema Jean Baptiste & Yan Guang Cai & A. Y. M. Atiquil Islam & Nzabalirwa Wenceslas, 2022. "A Systematic Review of University Social Responsibility in Post-Conflict Societies: The Case of the Great Lakes Region of East Africa," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 164(1), pages 439-475, November.
    20. Bart Verkuil & Serpil Atasayi & Marc L Molendijk, 2015. "Workplace Bullying and Mental Health: A Meta-Analysis on Cross-Sectional and Longitudinal Data," PLOS ONE, Public Library of Science, vol. 10(8), pages 1-16, August.

    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:sae:jedbes:v:48:y:2023:i:1:p:70-102. 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: SAGE Publications (email available below). General contact details of provider: .

    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.