{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,28]],"date-time":"2025-11-28T12:15:53Z","timestamp":1764332153416,"version":"build-2065373602"},"reference-count":41,"publisher":"Wiley","issue":"2","license":[{"start":{"date-parts":[[2013,8,5]],"date-time":"2013-08-05T00:00:00Z","timestamp":1375660800000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/onlinelibrary.wiley.com\/termsAndConditions#vor"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Brit J Math &amp;amp; Statis"],"published-print":{"date-parts":[[2014,5]]},"abstract":"<jats:p>Missing values are a practical issue in the analysis of longitudinal data. Multiple imputation (MI) is a well\u2010known likelihood\u2010based method that has optimal properties in terms of efficiency and consistency if the imputation model is correctly specified. Doubly robust (DR) weighing\u2010based methods protect against misspecification bias if one of the models, but not necessarily both, for the data or the mechanism leading to missing data is correct. We propose a new imputation method that captures the simplicity of MI and protection from the DR method. This method integrates MI and DR to protect against misspecification of the imputation model under a missing at random assumption. Our method avoids analytical complications of missing data particularly in multivariate settings, and is easy to implement in standard statistical packages. Moreover, the proposed method works very well with an intermittent pattern of missingness when other DR methods can not be used. Simulation experiments show that the proposed approach achieves improved performance when one of the models is correct. The method is applied to data from the fireworks disaster study, a randomized clinical trial comparing therapies in disaster\u2010exposed children. We conclude that the new method increases the robustness of imputations.<\/jats:p>","DOI":"10.1111\/bmsp.12021","type":"journal-article","created":{"date-parts":[[2013,8,5]],"date-time":"2013-08-05T01:36:37Z","timestamp":1375666597000},"page":"197-212","source":"Crossref","is-referenced-by-count":7,"title":["Dual imputation model for incomplete longitudinal data"],"prefix":"10.1111","volume":"67","author":[{"given":"Shahab","family":"Jolani","sequence":"first","affiliation":[{"name":"Department of Methodology and Statistics Utrecht University The Netherlands"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Laurence E.","family":"Frank","sequence":"additional","affiliation":[{"name":"Department of Methodology and Statistics Utrecht University The Netherlands"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Stef","family":"van Buuren","sequence":"additional","affiliation":[{"name":"Department of Methodology and Statistics Utrecht University The Netherlands"},{"name":"Department of Statistics TNO Leiden The Netherlands"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2013,8,5]]},"reference":[{"key":"e_1_2_9_2_1","doi-asserted-by":"publisher","DOI":"10.1080\/03610910802255840"},{"key":"e_1_2_9_3_1","doi-asserted-by":"publisher","DOI":"10.1111\/j.1541\u20100420.2005.00377.x"},{"key":"e_1_2_9_4_1","doi-asserted-by":"publisher","DOI":"10.1002\/sim.2619"},{"key":"e_1_2_9_5_1","doi-asserted-by":"publisher","DOI":"10.1093\/biomet\/asp033"},{"key":"e_1_2_9_6_1","doi-asserted-by":"publisher","DOI":"10.1111\/j.1467\u2010985X.2006.00407.x"},{"key":"e_1_2_9_7_1","doi-asserted-by":"publisher","DOI":"10.2307\/2528036"},{"key":"e_1_2_9_8_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.csda.2011.10.006"},{"key":"e_1_2_9_9_1","doi-asserted-by":"publisher","DOI":"10.1080\/10629360600903866"},{"key":"e_1_2_9_10_1","doi-asserted-by":"publisher","DOI":"10.3402\/ejpt.v2i0.5694"},{"key":"e_1_2_9_11_1","doi-asserted-by":"publisher","DOI":"10.2307\/2986113"},{"volume-title":"Bayesian data analysis (2nd ed., Chaps 6 and 7)","year":"2004","author":"Gelman A.","key":"e_1_2_9_12_1"},{"key":"e_1_2_9_13_1","doi-asserted-by":"publisher","DOI":"10.1214\/ss\/1009213728"},{"key":"e_1_2_9_14_1","doi-asserted-by":"publisher","DOI":"10.1080\/00949655.2011.639773"},{"key":"e_1_2_9_15_1","doi-asserted-by":"publisher","DOI":"10.1214\/07\u2010STS227"},{"key":"e_1_2_9_16_1","doi-asserted-by":"publisher","DOI":"10.1002\/(SICI"},{"key":"e_1_2_9_17_1","doi-asserted-by":"publisher","DOI":"10.1093\/aje\/kwp425"},{"key":"e_1_2_9_18_1","doi-asserted-by":"publisher","DOI":"10.1002\/9781119013563"},{"key":"e_1_2_9_19_1","unstructured":"Liu J. 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