IDEAS home Printed from https://ideas.repec.org/a/bla/jorssb/v64y2002i2p221-236.html

Publication bias and meta‐analysis for 2×2 tables: an average Markov chain Monte Carlo EM algorithm

Author

Listed:
  • Jian Qing Shi
  • John Copas

Abstract

Summary. A major difficulty in meta‐analysis is publication bias. Studies with positive outcomes are more likely to be published than studies reporting negative or inconclusive results. Correcting for this bias is not possible without making untestable assumptions. In this paper, a sensitivity analysis is discussed for the meta‐analysis of 2×2 tables using exact conditional distributions. A Markov chain Monte Carlo EM algorithm is used to calculate maximum likelihood estimates. A rule for increasing the accuracy of estimation and automating the choice of the number of iterations is suggested.

Suggested Citation

  • Jian Qing Shi & John Copas, 2002. "Publication bias and meta‐analysis for 2×2 tables: an average Markov chain Monte Carlo EM algorithm," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 64(2), pages 221-236, May.
    • Handle: RePEc:bla:jorssb:v:64:y:2002:i:2:p:221-236
    DOI: 10.1111/1467-9868.00334
    as

    Download full text from publisher

    File URL: https://doi.org/10.1111/1467-9868.00334
    Download Restriction: no
    File URL: https://libkey.io/10.1111/1467-9868.00334?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. James J. Heckman, 1976. "The Common Structure of Statistical Models of Truncation, Sample Selection and Limited Dependent Variables and a Simple Estimator for Such Models," NBER Chapters, in: Annals of Economic and Social Measurement, Volume 5, number 4, pages 475-492, National Bureau of Economic Research, Inc.
    2. Larry V. Hedges, 1984. "Estimation of Effect Size under Nonrandom Sampling: The Effects of Censoring Studies Yielding Statistically Insignificant Mean Differences," Journal of Educational and Behavioral Statistics, , vol. 9(1), pages 61-85, March.
    3. J. G. Booth & J. P. Hobert, 1999. "Maximizing generalized linear mixed model likelihoods with an automated Monte Carlo EM algorithm," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 61(1), pages 265-285.
    4. J. Copas, 1999. "What works?: selectivity models and meta‐analysis," Journal of the Royal Statistical Society Series A, Royal Statistical Society, vol. 162(1), pages 95-109.
    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. F. Nathoo & C. B. Dean, 2007. "A Mixed Mover–Stayer Model for Spatiotemporal Two-State Processes," Biometrics, The International Biometric Society, vol. 63(3), pages 881-891, September.
    2. Sik-Yum Lee & Xin-Yuan Song, 2004. "Maximum Likelihood Analysis of a General Latent Variable Model with Hierarchically Mixed Data," Biometrics, The International Biometric Society, vol. 60(3), pages 624-636, September.
    3. Sik-Yum Lee & Xin-Yuan Song, 2007. "A Unified Maximum Likelihood Approach for Analyzing Structural Equation Models With Missing Nonstandard Data," Sociological Methods & Research, , vol. 35(3), pages 352-381, February.
    4. Kawakubo, Yuki & Kobayashi, Genya, 2023. "Small area estimation of general finite-population parameters based on grouped data," Computational Statistics & Data Analysis, Elsevier, vol. 184(C).
    5. Lee, Woojoo & Shi, Jian Qing & Lee, Youngjo, 2010. "Approximate conditional inference in mixed-effects models with binary data," Computational Statistics & Data Analysis, Elsevier, vol. 54(1), pages 173-184, January.

    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. van Aert, Robbie Cornelis Maria & van Assen, Marcel A. L. M., 2018. "P-uniform," MetaArXiv zqjr9, Center for Open Science.
    2. Welsch, David M. & Statz, Bambi & Skidmore, Mark, 2010. "An examination of inter-district public school transfers in Wisconsin," Economics of Education Review, Elsevier, vol. 29(1), pages 126-137, February.
    3. Allassonnière, Stéphanie & Chevallier, Juliette, 2021. "A new class of stochastic EM algorithms. Escaping local maxima and handling intractable sampling," Computational Statistics & Data Analysis, Elsevier, vol. 159(C).
    4. Bairoliya, Neha, 2019. "Pension plan heterogeneity and retirement behavior," European Economic Review, Elsevier, vol. 116(C), pages 28-59.
    5. Sènakpon Fidèle A. Dedehouanou & Luca Tiberti & Hilaire G. Houeninvo & Djohodo Inès Monwanou, 2019. "Working while studying: Employment premium or penalty for youth in Benin?," Working Papers PMMA 2019-03, PEP-PMMA.
    6. Sandra Müllbacher & Wolfgang Nagl, 2017. "Labour supply in Austria: an assessment of recent developments and the effects of a tax reform," Empirica, Springer;Austrian Institute for Economic Research;Austrian Economic Association, vol. 44(3), pages 465-486, August.
    7. Insoo Cho & Peter F. Orazem, 2021. "How endogenous risk preferences and sample selection affect analysis of firm survival," Small Business Economics, Springer, vol. 56(4), pages 1309-1332, April.
    8. Shu Yang & Jae Kwang Kim, 2016. "Likelihood-based Inference with Missing Data Under Missing-at-Random," Scandinavian Journal of Statistics, Danish Society for Theoretical Statistics;Finnish Statistical Society;Norwegian Statistical Association;Swedish Statistical Association, vol. 43(2), pages 436-454, June.
    9. Arzaghi Mohammad & Berndt Ernst R. & Davis James C. & Silk Alvin J., 2012. "The Unbundling of Advertising Agency Services: An Economic Analysis," Review of Marketing Science, De Gruyter, vol. 10(1), pages 1-55, December.
    10. Chakraborty, Indraneel & Holter, Hans A. & Stepanchuk, Serhiy, 2015. "Marriage stability, taxation and aggregate labor supply in the U.S. vs. Europe," Journal of Monetary Economics, Elsevier, vol. 72(C), pages 1-20.
    11. Walter Beckert, 2015. "Choice in the Presence of Experts," Birkbeck Working Papers in Economics and Finance 1503, Birkbeck, Department of Economics, Mathematics & Statistics.
    12. Miyoshi, Koyo, 2008. "Male-female wage differentials in Japan," Japan and the World Economy, Elsevier, vol. 20(4), pages 479-496, December.
    13. Jose Pina-Sánchez & John Paul Gosling, 2020. "Tackling selection bias in sentencing data analysis: a new approach based on a scale of severity," Quality & Quantity: International Journal of Methodology, Springer, vol. 54(3), pages 1047-1073, June.
    14. Cameron, Trudy Ann & Shaw, W. Douglass & Ragland, Shannon E. & Callaway, J. Mac & Keefe, Sally, 1996. "Using Actual And Contingent Behavior Data With Differing Levels Of Time Aggregation To Model Recreation Demand," Journal of Agricultural and Resource Economics, Western Agricultural Economics Association, vol. 21(01), pages 1-20, July.
    15. Peng, Fei & Kang, Lili & Jiang, Jun, 2011. "Selection and institutional shareholder activism in Chinese acquisitions," MPRA Paper 38701, University Library of Munich, Germany.
    16. Varin, Cristiano & Host, Gudmund & Skare, Oivind, 2005. "Pairwise likelihood inference in spatial generalized linear mixed models," Computational Statistics & Data Analysis, Elsevier, vol. 49(4), pages 1173-1191, June.
    17. Annika Meng, 2010. "Long-term Care Responsibility and its Opportunity Costs," Ruhr Economic Papers 0168, Rheinisch-Westfälisches Institut für Wirtschaftsforschung, Ruhr-Universität Bochum, Universität Dortmund, Universität Duisburg-Essen.
    18. Mendieta-Muñoz, Ivan, 2015. "Is potential output growth falling?," MPRA Paper 68278, University Library of Munich, Germany.
    19. Hans A. Holter & Dirk Krueger & Serhiy Stepanchuk, 2019. "How do tax progressivity and household heterogeneity affect Laffer curves?," Quantitative Economics, Econometric Society, vol. 10(4), pages 1317-1356, November.
    20. Robert Mcclelland & Arthur C. Brooks, 2004. "What is the Real Relationship between Income and Charitable Giving?," Public Finance Review, , vol. 32(5), pages 483-497, September.

    More about this item

    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:bla:jorssb:v:64:y:2002:i:2:p:221-236. 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: Wiley Content Delivery (email available below). General contact details of provider: https://edirc.repec.org/data/rssssea.html .

    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.