IDEAS home Printed from https://ideas.repec.org/a/bla/jorssb/v64y2002i2p221-236.html
   My bibliography  Save this article

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. 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.
    4. 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.
    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. 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.
    2. 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).
    3. 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.
    4. 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.
    5. 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.

    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. 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.
    3. 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.
    4. 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.
    5. 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.
    6. Walter Beckert, 2015. "Choice in the Presence of Experts," Birkbeck Working Papers in Economics and Finance 1503, Birkbeck, Department of Economics, Mathematics & Statistics.
    7. Miyoshi, Koyo, 2008. "Male-female wage differentials in Japan," Japan and the World Economy, Elsevier, vol. 20(4), pages 479-496, December.
    8. 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(1), pages 1-20, July.
    9. 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.
    10. 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.
    11. Ichimura, Hidehiko & Todd, Petra E., 2007. "Implementing Nonparametric and Semiparametric Estimators," Handbook of Econometrics, in: J.J. Heckman & E.E. Leamer (ed.), Handbook of Econometrics, edition 1, volume 6, chapter 74, Elsevier.
    12. Chen, Yuanyuan & Feng, Shuaizhang & Han, Yujie, 2020. "The effect of primary school type on the high school opportunities of migrant children in China," Journal of Comparative Economics, Elsevier, vol. 48(2), pages 325-338.
    13. Michael Raper, 1999. "Self-selection bias and cost-of-living estimates," Journal of Economics and Finance, Springer;Academy of Economics and Finance, vol. 23(1), pages 64-77, March.
    14. Bettina Peters & Rebecca Riley & Iulia Siedschlag & Priit Vahter & John McQuinn, 2014. "Innovation and Productivity in Services: Evidence from Germany, Ireland and the United Kingdom," JRC Working Papers on Corporate R&D and Innovation 2014-04, Joint Research Centre.
    15. Matthew Gentry & Tong Li & Jingfeng Lu, 2015. "Identification and estimation in first-price auctions with risk-averse bidders and selective entry," CeMMAP working papers CWP16/15, Centre for Microdata Methods and Practice, Institute for Fiscal Studies.
    16. Bernadette Power & Gavin C Reid, 2003. "Turbulence, Flexibility and Performance of the Long-lived Small Firm," Tinbergen Institute Discussion Papers 03-039/3, Tinbergen Institute.
    17. Aizenman, Joshua & Ito, Hiro & Pasricha, Gurnain Kaur, 2022. "Central bank swap arrangements in the COVID-19 crisis," Journal of International Money and Finance, Elsevier, vol. 122(C).
    18. Asaduzzaman, M. & Anik, Asif Reza, 2017. "Determinants of Adoption of Rice Yield Gap Minimisation Technology in Bangladesh," Bangladesh Development Studies, Bangladesh Institute of Development Studies (BIDS), vol. 40(1-2), pages 73-96, March-Jun.
    19. Fernandes, Marcelo & Mergulhão, João, 2016. "Anticipatory effects in the FTSE 100 index revisions," Journal of Empirical Finance, Elsevier, vol. 37(C), pages 79-90.
    20. Trottmann, Maria & Zweifel, Peter & Beck, Konstantin, 2012. "Supply-side and demand-side cost sharing in deregulated social health insurance: Which is more effective?," Journal of Health Economics, Elsevier, vol. 31(1), pages 231-242.

    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.