{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,29]],"date-time":"2025-10-29T18:50:10Z","timestamp":1761763810455,"version":"3.37.3"},"reference-count":41,"publisher":"Oxford University Press (OUP)","issue":"2","license":[{"start":{"date-parts":[[2002,5,1]],"date-time":"2002-05-01T00:00:00Z","timestamp":1020211200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/academic.oup.com\/journals\/pages\/open_access\/funder_policies\/chorus\/standard_publication_model"}],"funder":[{"DOI":"10.13039\/501100000269","name":"Economic and Social Research Council","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100000269","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2002,5,1]]},"abstract":"<jats:title>Summary<\/jats:title><jats:p>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\u00d72 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.<\/jats:p>","DOI":"10.1111\/1467-9868.00334","type":"journal-article","created":{"date-parts":[[2003,5,6]],"date-time":"2003-05-06T15:13:15Z","timestamp":1052233995000},"page":"221-236","source":"Crossref","is-referenced-by-count":24,"title":["Publication Bias and Meta-Analysis for 2\u00d72 Tables: An Average Markov Chain Monte Carlo EM Algorithm"],"prefix":"10.1093","volume":"64","author":[{"given":"Jian Qing","family":"Shi","sequence":"first","affiliation":[{"name":"University of Glasgow, UK University of Warwick , Coventry , UK"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"John","family":"Copas","sequence":"additional","affiliation":[{"name":"University of Glasgow, UK University of Warwick , Coventry , UK"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"286","published-online":{"date-parts":[[2002,6,20]]},"reference":[{"key":"2023040108504630200_","doi-asserted-by":"crossref","first-page":"369","DOI":"10.1111\/j.1745-9125.1990.tb01330.x","article-title":"Does correctional treatment work?: a clinically relevant and psychologically informed meta-analysis","volume":"28","author":"Andrews","year":"1990","journal-title":"Criminology"},{"key":"2023040108504630200_","doi-asserted-by":"crossref","first-page":"265","DOI":"10.1111\/1467-9868.00176","article-title":"Maximum generalized linear mixed model likelihoods with an automated Monte Carlo EM algorithm","volume":"61","author":"Booth","year":"1999","journal-title":"J. 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