{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,14]],"date-time":"2026-04-14T16:02:53Z","timestamp":1776182573739,"version":"3.50.1"},"reference-count":46,"publisher":"Wiley","issue":"2","license":[{"start":{"date-parts":[[2018,3,24]],"date-time":"2018-03-24T00:00:00Z","timestamp":1521849600000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/onlinelibrary.wiley.com\/termsAndConditions#vor"}],"funder":[{"DOI":"10.13039\/100000092","name":"U.S. National Library of Medicine","doi-asserted-by":"publisher","award":["R21LM012197"],"award-info":[{"award-number":["R21LM012197"]}],"id":[{"id":"10.13039\/100000092","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100000092","name":"U.S. National Library of Medicine","doi-asserted-by":"publisher","award":["R21LM012744"],"award-info":[{"award-number":["R21LM012744"]}],"id":[{"id":"10.13039\/100000092","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100000062","name":"National Institute of Diabetes and Digestive and Kidney Diseases","doi-asserted-by":"publisher","award":["U01DK106786"],"award-info":[{"award-number":["U01DK106786"]}],"id":[{"id":"10.13039\/100000062","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100006545","name":"National Institute on Minority Health and Health Disparities","doi-asserted-by":"publisher","award":["U54MD008620"],"award-info":[{"award-number":["U54MD008620"]}],"id":[{"id":"10.13039\/100006545","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100000054","name":"National Cancer Institute","doi-asserted-by":"publisher","award":["P30CA077598"],"award-info":[{"award-number":["P30CA077598"]}],"id":[{"id":"10.13039\/100000054","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100000072","name":"National Institute of Dental and Craniofacial Research","doi-asserted-by":"publisher","award":["R03DE024750"],"award-info":[{"award-number":["R03DE024750"]}],"id":[{"id":"10.13039\/100000072","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100000060","name":"National Institute of Allergy and Infectious Diseases","doi-asserted-by":"publisher","award":["R21AI103012"],"award-info":[{"award-number":["R21AI103012"]}],"id":[{"id":"10.13039\/100000060","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["Research Synthesis Methods"],"published-print":{"date-parts":[[2018,6]]},"abstract":"<jats:p>In medical sciences, a disease condition is typically associated with multiple risk and protective factors. Although many studies report results of multiple factors, nearly all meta\u2010analyses separately synthesize the association between each factor and the disease condition of interest. The collected studies usually report different subsets of factors, and the results from separate analyses on multiple factors may not be comparable because each analysis may use different subpopulation. This may impact on selecting most important factors to design a multifactor intervention program. This article proposes a new concept, multivariate meta\u2010analysis of multiple factors (MVMA\u2010MF), to synthesize all available factors simultaneously. By borrowing information across factors, MVMA\u2010MF can improve statistical efficiency and reduce biases compared with separate analyses when factors were missing not at random. As within\u2010study correlations between factors are commonly unavailable from published articles, we use a Bayesian hybrid model to perform MVMA\u2010MF, which effectively accounts for both within\u2010 and between\u2010study correlations. The performance of MVMA\u2010MF and the conventional methods are compared using simulations and an application to a pterygium dataset consisting of 29 studies on 8 risk factors.<\/jats:p>","DOI":"10.1002\/jrsm.1293","type":"journal-article","created":{"date-parts":[[2018,2,10]],"date-time":"2018-02-10T01:37:52Z","timestamp":1518226672000},"page":"261-272","update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":19,"title":["Bayesian multivariate meta\u2010analysis of multiple factors"],"prefix":"10.1002","volume":"9","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-3562-9816","authenticated-orcid":false,"given":"Lifeng","family":"Lin","sequence":"first","affiliation":[{"name":"Department of Statistics Florida State University  Tallahassee FL 32306 USA"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-0932-598X","authenticated-orcid":false,"given":"Haitao","family":"Chu","sequence":"additional","affiliation":[{"name":"Division of Biostatistics, School of Public Health University of Minnesota  Minneapolis MN 55455 USA"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2018,3,24]]},"reference":[{"issue":"12","key":"e_1_2_9_2_1","doi-asserted-by":"crossref","first-page":"1465","DOI":"10.1001\/jama.1982.03330120023025","article-title":"Multiple risk factor intervention trial","volume":"248","author":"Multiple Risk Factor Intervention Trial Research Group","year":"1982","journal-title":"JAMA"},{"key":"e_1_2_9_3_1","doi-asserted-by":"publisher","DOI":"10.2337\/diacare.16.2.434"},{"key":"e_1_2_9_4_1","doi-asserted-by":"publisher","DOI":"10.1016\/S0140-6736(02)11403-6"},{"key":"e_1_2_9_5_1","doi-asserted-by":"publisher","DOI":"10.1056\/NEJMoa1205409"},{"key":"e_1_2_9_6_1","doi-asserted-by":"publisher","DOI":"10.1136\/bmj.314.7095.1666"},{"key":"e_1_2_9_7_1","doi-asserted-by":"publisher","DOI":"10.1176\/appi.ajp.160.6.1147"},{"key":"e_1_2_9_8_1","doi-asserted-by":"publisher","DOI":"10.1016\/S0140-6736(10)62233-7"},{"key":"e_1_2_9_9_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.jclinepi.2015.09.004"},{"key":"e_1_2_9_10_1","doi-asserted-by":"publisher","DOI":"10.1002\/sim.3602"},{"key":"e_1_2_9_11_1","doi-asserted-by":"publisher","DOI":"10.1002\/sim.4172"},{"key":"e_1_2_9_12_1","doi-asserted-by":"publisher","DOI":"10.1111\/j.1541-0420.2012.01761.x"},{"key":"e_1_2_9_13_1","doi-asserted-by":"publisher","DOI":"10.1080\/01621459.2014.899235"},{"key":"e_1_2_9_14_1","doi-asserted-by":"publisher","DOI":"10.1002\/sim.2524"},{"key":"e_1_2_9_15_1","doi-asserted-by":"publisher","DOI":"10.1002\/sim.5356"},{"key":"e_1_2_9_16_1","doi-asserted-by":"publisher","DOI":"10.1136\/bmj.j3932"},{"key":"e_1_2_9_17_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.jclinepi.2005.02.022"},{"key":"e_1_2_9_18_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.jclinepi.2006.06.011"},{"key":"e_1_2_9_19_1","doi-asserted-by":"publisher","DOI":"10.1177\/0962280213492588"},{"key":"e_1_2_9_20_1","doi-asserted-by":"publisher","DOI":"10.1002\/sim.4780122405"},{"key":"e_1_2_9_21_1","doi-asserted-by":"publisher","DOI":"10.1002\/(SICI)1097-0258(19960315)15:5<537::AID-SIM176>3.0.CO;2-S"},{"key":"e_1_2_9_22_1","doi-asserted-by":"publisher","DOI":"10.1002\/sim.1875"},{"key":"e_1_2_9_23_1","doi-asserted-by":"publisher","DOI":"10.1177\/0962280207080643"},{"key":"e_1_2_9_24_1","doi-asserted-by":"publisher","DOI":"10.1002\/jrsm.1037"},{"key":"e_1_2_9_25_1","doi-asserted-by":"publisher","DOI":"10.1177\/1740774513498322"},{"key":"e_1_2_9_26_1","doi-asserted-by":"publisher","DOI":"10.18637\/jss.v080.i05"},{"key":"e_1_2_9_27_1","doi-asserted-by":"publisher","DOI":"10.1097\/EDE.0000000000000482"},{"key":"e_1_2_9_28_1","doi-asserted-by":"publisher","DOI":"10.1111\/j.1467-985X.2008.00593.x"},{"key":"e_1_2_9_29_1","doi-asserted-by":"publisher","DOI":"10.1093\/biostatistics\/kxm023"},{"key":"e_1_2_9_30_1","doi-asserted-by":"publisher","DOI":"10.1177\/1536867X1101100206"},{"key":"e_1_2_9_31_1","doi-asserted-by":"publisher","DOI":"10.1093\/biostatistics\/kxp032"},{"key":"e_1_2_9_32_1","doi-asserted-by":"publisher","DOI":"10.1002\/sim.5745"},{"key":"e_1_2_9_33_1","doi-asserted-by":"publisher","DOI":"10.1076\/opep.6.3.219.1504"},{"key":"e_1_2_9_34_1","doi-asserted-by":"publisher","DOI":"10.1002\/jrsm.12"},{"key":"e_1_2_9_35_1","doi-asserted-by":"publisher","DOI":"10.1136\/bmj.d549"},{"key":"e_1_2_9_36_1","doi-asserted-by":"publisher","DOI":"10.1093\/ije\/dyn204"},{"key":"e_1_2_9_37_1","doi-asserted-by":"publisher","DOI":"10.1002\/sim.4780080202"},{"key":"e_1_2_9_38_1","volume-title":"Meta\u2010Analysis, Decision Analysis, and Cost\u2010Effectiveness Analysis: Methods for Quantitative Synthesis in Medicine","author":"Petitti DB","year":"2000"},{"key":"e_1_2_9_39_1","doi-asserted-by":"publisher","DOI":"10.1214\/13-STS415"},{"key":"e_1_2_9_40_1","doi-asserted-by":"publisher","DOI":"10.1214\/009053607000000758"},{"key":"e_1_2_9_41_1","doi-asserted-by":"publisher","DOI":"10.1111\/1467-9868.00353"},{"key":"e_1_2_9_42_1","doi-asserted-by":"publisher","DOI":"10.1214\/07-STS243"},{"key":"e_1_2_9_43_1","doi-asserted-by":"publisher","DOI":"10.1002\/jrsm.1063"},{"key":"e_1_2_9_44_1","doi-asserted-by":"publisher","DOI":"10.1177\/1740774508091600"},{"key":"e_1_2_9_45_1","doi-asserted-by":"publisher","DOI":"10.1002\/0470870168"},{"key":"e_1_2_9_46_1","doi-asserted-by":"publisher","DOI":"10.1053\/j.ajkd.2016.11.003"},{"key":"e_1_2_9_47_1","doi-asserted-by":"publisher","DOI":"10.1080\/01621459.2000.10473905"}],"container-title":["Research Synthesis Methods"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.wiley.com\/onlinelibrary\/tdm\/v1\/articles\/10.1002%2Fjrsm.1293","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1002\/jrsm.1293","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,9,23]],"date-time":"2023-09-23T14:38:51Z","timestamp":1695479931000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1002\/jrsm.1293"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018,3,24]]},"references-count":46,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2018,6]]}},"alternative-id":["10.1002\/jrsm.1293"],"URL":"https:\/\/doi.org\/10.1002\/jrsm.1293","archive":["Portico"],"relation":{},"ISSN":["1759-2879","1759-2887"],"issn-type":[{"value":"1759-2879","type":"print"},{"value":"1759-2887","type":"electronic"}],"subject":[],"published":{"date-parts":[[2018,3,24]]},"assertion":[{"value":"2016-11-21","order":0,"name":"received","label":"Received","group":{"name":"publication_history","label":"Publication History"}},{"value":"2018-01-17","order":1,"name":"accepted","label":"Accepted","group":{"name":"publication_history","label":"Publication History"}},{"value":"2018-03-24","order":2,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}]}}