{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,10,9]],"date-time":"2026-10-09T07:09:37Z","timestamp":1791529777083,"version":"4.3.4"},"reference-count":24,"publisher":"Institute of Mathematical Statistics","issue":"3","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Bayesian Anal."],"published-print":{"date-parts":[[2017,9,1]]},"abstract":"<jats:p>We propose a Bayesian nonparametric utility-based group sequential design for a randomized clinical trial to compare a gel sealant to standard care for resolving air leaks after pulmonary resection. Clinically, resolving air leaks in the days soon after surgery is highly important, since longer resolution time produces undesirable complications that require extended hospitalization. The problem of comparing treatments is complicated by the fact that the resolution time distributions are skewed and multi-modal, so using means is misleading. We address these challenges by assuming Bayesian nonparametric probability models for the resolution time distributions and basing the comparative test on weighted means. The weights are elicited as clinical utilities of the resolution times. The proposed design uses posterior expected utilities as group sequential test criteria. The procedure\u2019s frequentist properties are studied by extensive simulations.<\/jats:p>","DOI":"10.1214\/16-ba1016","type":"journal-article","created":{"date-parts":[[2016,7,26]],"date-time":"2016-07-26T13:16:19Z","timestamp":1469538979000},"page":"639-652","source":"Crossref","is-referenced-by-count":5,"title":["A Decision-Theoretic Comparison of Treatments to Resolve Air Leaks After Lung Surgery Based on Nonparametric Modeling"],"prefix":"10.1214","volume":"12","author":[{"given":"Yanxun","family":"Xu","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Peter F.","family":"Thall","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Peter","family":"M\u00fcller","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Mehran J.","family":"Reza","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"108","reference":[{"key":"7","unstructured":"Fink, D. (1997). \u201cA compendium of conjugate priors.\u201d See <a href=\"http:\/\/www.leg.ufpr.br\/lib\/exe\/fetch.php\/projetos:mci:tabelasprioris.pdf\">http:\/\/www.leg.ufpr.br\/lib\/exe\/fetch.php\/projetos:mci:tabelasprioris.pdf<\/a>, 46."},{"key":"4","doi-asserted-by":"publisher","unstructured":"De Iorio, M., M\u00fcller, P., Rosner, G. L., and MacEachern, S. N. (2004). \u201cAn ANOVA model for dependent random measures.\u201d <i>Journal of the American Statistical Association<\/i>, 99(465): 205\u2013215.","DOI":"10.1198\/016214504000000205"},{"key":"1","doi-asserted-by":"crossref","unstructured":"Allen, M. S., Wood, D. E., Hawkinson, R. W., Harpole, D. H., McKenna, R. J., Walsh, G. L., Vallieres, E., Miller, D. L., Nichols, F. C., Smythe, W. R., et al. (2004). \u201cProspective randomized study evaluating a biodegradable polymeric sealant for sealing intraoperative air leaks that occur during pulmonary resection.\u201d <i>The Annals of Thoracic Surgery<\/i>, 77(5): 1792\u20131801.","DOI":"10.1016\/j.athoracsur.2003.10.049"},{"key":"2","doi-asserted-by":"publisher","unstructured":"Barrientos, A. F., Jara, A., Quintana, F. A., et al. (2012). \u201cOn the support of MacEachern\u2019s dependent Dirichlet processes and extensions.\u201d <i>Bayesian Analysis<\/i>, 7(2): 277\u2013310.","DOI":"10.1214\/12-BA709"},{"key":"3","unstructured":"Bellman, R. E. (1957). <i>Dynamic Programming<\/i>. Princeton University Press."},{"key":"5","doi-asserted-by":"crossref","unstructured":"Dunson, D. B. and Peddada, S. D. (2008). \u201cBayesian nonparametric inference on stochastic ordering.\u201d <i>Biometrika<\/i>, 95(4): 859\u2013874.","DOI":"10.1093\/biomet\/asn043"},{"key":"6","doi-asserted-by":"publisher","unstructured":"Ferguson, T. S. (1973). \u201cA Bayesian analysis of some nonparametric problems.\u201d <i>The Annals of Statistics<\/i>, 209\u2013230.","DOI":"10.1214\/aos\/1176342360"},{"key":"8","doi-asserted-by":"crossref","unstructured":"Gelfand, A. E. and Kottas, A. (2001). \u201cNonparametric Bayesian modeling for stochastic order.\u201d <i>Annals of the Institute of Statistical Mathematics<\/i>, 53(4): 865\u2013876.","DOI":"10.1023\/A:1014629724913"},{"key":"9","doi-asserted-by":"crossref","unstructured":"Hjort, N. L., Holmes, C., M\u00fcller, P., and Walker, S. (2010). <i>Bayesian Nonparametrics<\/i>. Cambridge, UK: Cambridge University Press.","DOI":"10.1017\/CBO9780511802478"},{"key":"10","doi-asserted-by":"crossref","unstructured":"Hoff, P. D. (2003). \u201cBayesian methods for partial stochastic orderings.\u201d <i>Biometrika<\/i>, 90(2): 303\u2013317.","DOI":"10.1093\/biomet\/90.2.303"},{"key":"11","doi-asserted-by":"publisher","unstructured":"Ishwaran, H. and James, L. F. (2001). \u201cGibbs sampling methods for stick-breaking priors.\u201d <i>Journal of the American Statistical Association<\/i>, 96(453).","DOI":"10.1198\/016214501750332758"},{"key":"12","doi-asserted-by":"crossref","unstructured":"Ishwaran, H. and James, L. F. (2002). \u201cApproximate Dirichlet Process computing in finite normal mixtures.\u201d <i>Journal of Computational and Graphical Statistics<\/i>, 11(3).","DOI":"10.1198\/106186002411"},{"key":"13","doi-asserted-by":"crossref","unstructured":"Klijian, A. (2012). \u201cA novel approach to control air leaks in complex lung surgery: a retrospective review.\u201d <i>Journal of Cardiothoracic Surgery<\/i>, 7: 49\u201354.","DOI":"10.1186\/1749-8090-7-49"},{"key":"14","doi-asserted-by":"crossref","unstructured":"Kobayashi, H., Sekine, T., Nakamura, T., and Shimizu, Y. 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E., Singhal, S., and Shrager, J. B. (2010). \u201cEvidence-based suggestions for management of air leaks.\u201d <i>Thoracic Surgery Clinics<\/i>, 20(3): 435\u2013448.","DOI":"10.1016\/j.thorsurg.2010.03.005"},{"key":"19","doi-asserted-by":"publisher","unstructured":"Neal, R. M. (2000). \u201cMarkov chain sampling methods for Dirichlet process mixture models.\u201d <i>Journal of Computational and Graphical Statistics<\/i>, 9(2): 249\u2013265.","DOI":"10.2307\/1390653"},{"key":"20","unstructured":"Randles, R. H. and Wolfe, D. A. (1979). <i>Introduction to the Theory of Nonparametric Statistics<\/i>, volume 1. New York: Wiley."},{"key":"21","doi-asserted-by":"crossref","unstructured":"Serra-Mitjans, M. and Belda-Sanch\u00eds, J. (2005). \u201cSurgical sealant for preventing air leaks after pulmonary resections in patients with lung cancer.\u201d <i>The Cochrane Library<\/i>.","DOI":"10.1002\/14651858.CD003051.pub2"},{"key":"22","doi-asserted-by":"crossref","unstructured":"Singhal, S., Ferraris, V. A., Bridges, C. R., Clough, E. R., Mitchell, J. D., Fernando, H. C., and Shrager, J. B. (2010). \u201cManagement of alveolar air leaks after pulmonary resection.\u201d <i>The Annals of Thoracic Surgery<\/i>, 89(4): 1327\u20131335.","DOI":"10.1016\/j.athoracsur.2009.09.020"},{"key":"23","doi-asserted-by":"crossref","unstructured":"Thall, P. F. and Nguyen, H. Q. (2012). \u201cAdaptive randomization to improve utility-based dose-finding with bivariate ordinal outcomes.\u201d <i>Journal of Biopharmaceutical Statistics<\/i>, 22(4): 785\u2013801.","DOI":"10.1080\/10543406.2012.676586"},{"key":"24","doi-asserted-by":"crossref","unstructured":"Xu, D., Thall, P. F., M\u00fcller, P., and Reza, M. J. (2016). \u201cSupplement: A decision-theoretic comparison of treatments to resolve air leaks after lung surgery based on nonparametric modeling.\u201d <i>Bayesian Analysis<\/i>.","DOI":"10.1214\/16-BA1016"}],"container-title":["Bayesian Analysis"],"original-title":[],"link":[{"URL":"https:\/\/projecteuclid.org\/download\/pdfview_1\/euclid.ba\/1469553354","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,10,8]],"date-time":"2026-10-08T18:23:10Z","timestamp":1791483790000},"score":1,"resource":{"primary":{"URL":"https:\/\/projecteuclid.org\/journals\/bayesian-analysis\/volume-12\/issue-3\/A-Decision-Theoretic-Comparison-of-Treatments-to-Resolve-Air-Leaks\/10.1214\/16-BA1016.full"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017,9,1]]},"references-count":24,"journal-issue":{"issue":"3","published-online":{"date-parts":[[2017,9,1]]}},"URL":"https:\/\/doi.org\/10.1214\/16-ba1016","relation":{},"ISSN":["1936-0975","1931-6690"],"issn-type":[{"value":"1936-0975","type":"print"},{"value":"1931-6690","type":"electronic"}],"subject":[],"published":{"date-parts":[[2017,9,1]]}}}