{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,10,8]],"date-time":"2026-10-08T08:27:33Z","timestamp":1791448053138,"version":"4.3.3"},"reference-count":21,"publisher":"Wiley","issue":"23","license":[{"start":{"date-parts":[[2013,4,12]],"date-time":"2013-04-12T00:00:00Z","timestamp":1365724800000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/onlinelibrary.wiley.com\/termsAndConditions#vor"},{"start":{"date-parts":[[2013,4,12]],"date-time":"2013-04-12T00:00:00Z","timestamp":1365724800000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/doi.wiley.com\/10.1002\/tdm_license_1.1"},{"start":{"date-parts":[[2013,4,12]],"date-time":"2013-04-12T00:00:00Z","timestamp":1365724800000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/onlinelibrary.wiley.com\/termsAndConditions#vor"}],"content-domain":{"domain":["wiley.com"],"crossmark-restriction":true},"short-container-title":["Statistics in Medicine"],"published-print":{"date-parts":[[2013,10,15]]},"abstract":"<jats:p>In this paper, we propose a class of Box\u2013Cox transformation regression models with multidimensional random effects for analyzing multivariate responses for individual patient data in meta\u2010analysis. Our modeling formulation uses a multivariate normal response meta\u2010analysis model with multivariate random effects, in which each response is allowed to have its own Box\u2013Cox transformation. Prior distributions are specified for the Box\u2013Cox transformation parameters as well as the regression coefficients in this complex model, and the deviance information criterion is used to select the best transformation model. Because the model is quite complex, we develop a novel Monte Carlo Markov chain sampling scheme to sample from the joint posterior of the parameters. This model is motivated by a very rich dataset comprising 26 clinical trials involving cholesterol\u2010lowering drugs where the goal is to jointly model the three\u2010dimensional response consisting of low density lipoprotein cholesterol (LDL\u2010C), high density lipoprotein cholesterol (HDL\u2010C), and triglycerides (TG) (LDL\u2010C, HDL\u2010C, TG). Because the joint distribution of (LDL\u2010C, HDL\u2010C, TG) is not multivariate normal and in fact quite skewed, a Box\u2013Cox transformation is needed to achieve normality. In the clinical literature, these three variables are usually analyzed univariately; however, a multivariate approach would be more appropriate because these variables are correlated with each other. We carry out a detailed analysis of these data by using the proposed methodology. Copyright \u00a9 2013 John Wiley &amp; Sons, Ltd.<\/jats:p>","DOI":"10.1002\/sim.5814","type":"journal-article","created":{"date-parts":[[2013,4,12]],"date-time":"2013-04-12T06:52:41Z","timestamp":1365749561000},"page":"3972-3990","update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":9,"title":["Bayesian inference for multivariate meta\u2010analysis Box\u2013Cox transformation models for individual patient data with applications to evaluation of cholesterol\u2010lowering drugs"],"prefix":"10.1002","volume":"32","author":[{"given":"Sungduk","family":"Kim","sequence":"first","affiliation":[{"name":"Division of Epidemiology, Statistics and Prevention Research Eunice Kennedy Shriver National Institute of Child Health and Human Development, NIH Rockville MD U.S.A."}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Ming\u2010Hui","family":"Chen","sequence":"additional","affiliation":[{"name":"Department of Statistics University of Connecticut Storrs CT 06269 U.S.A."}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Joseph G.","family":"Ibrahim","sequence":"additional","affiliation":[{"name":"Department of Biostatistics University of North Carolina at Chapel Hill Chapel Hill NC 27599 U.S.A."}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Arvind K.","family":"Shah","sequence":"additional","affiliation":[{"name":"Clinical Biostatistics Merck Research Laboratories Rahway NJ U.S.A."}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Jianxin","family":"Lin","sequence":"additional","affiliation":[{"name":"Clinical Biostatistics Merck Research Laboratories Rahway NJ U.S.A."}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"311","published-online":{"date-parts":[[2013,4,12]]},"reference":[{"key":"e_1_2_9_2_1","doi-asserted-by":"publisher","DOI":"10.1002\/sim.919"},{"key":"e_1_2_9_3_1","doi-asserted-by":"publisher","DOI":"10.1016\/S0301-2115(03)00098-8"},{"key":"e_1_2_9_4_1","doi-asserted-by":"publisher","DOI":"10.1186\/1472-6874-4-5"},{"key":"e_1_2_9_5_1","doi-asserted-by":"publisher","DOI":"10.1002\/art.20119"},{"key":"e_1_2_9_6_1","doi-asserted-by":"publisher","DOI":"10.1002\/sim.2050"},{"key":"e_1_2_9_7_1","doi-asserted-by":"publisher","DOI":"10.1002\/sim.2768"},{"key":"e_1_2_9_8_1","doi-asserted-by":"crossref","unstructured":"ZieglerR Grossarth\u2010MaticekR.Individual patient data meta\u2010analysis of survival and psychosomatic self\u2010regulation from published prospective controlled cohort studies for long\u2010term therapy of breast cancer patients with a mistletoe preparation (iscador).2008. 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