{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,9,20]],"date-time":"2026-09-20T17:11:53Z","timestamp":1789924313747,"version":"4.0.1"},"reference-count":16,"publisher":"Wiley","issue":"5","license":[{"start":{"date-parts":[[2025,9,5]],"date-time":"2025-09-05T00:00:00Z","timestamp":1757030400000},"content-version":"vor","delay-in-days":4,"URL":"http:\/\/onlinelibrary.wiley.com\/termsAndConditions#vor"}],"funder":[{"DOI":"10.13039\/100000002","name":"National Institutes of Health","doi-asserted-by":"publisher","award":["NIH\/NAIDS P30\u2010AI 060354"],"award-info":[{"award-number":["NIH\/NAIDS P30\u2010AI 060354"]}],"id":[{"id":"10.13039\/100000002","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["Pharmaceutical Statistics"],"published-print":{"date-parts":[[2025,9]]},"abstract":"<jats:title>ABSTRACT<\/jats:title><jats:p>In this paper, we carried out extensive simulation studies to compare the performances of partial and maximum likelihood based methods for estimating the area under the bi\u2010Weibull ROC curve. Further, real data sets from HIV\/AIDS research were analyzed for illustrative purposes. Simulation results suggest that both methods perform well and yield similar results for Weibull data. However, for non\u2010Weibull data, both methods perform poorly. The bi\u2010Weibull model yields smooth estimates of ROC curves and a closed\u2010form expression for the area under the ROC curve. Moreover, by adjusting its shape parameter, the bi\u2010Weibull model can represent a variety of distributions, such as exponential, Rayleigh, normal, and extreme value distributions. Its compatibility with Cox's proportional hazards model facilitates the derivation of covariate\u2010adjusted ROC curves and supports analyses involving correlated and longitudinal biomarkers. These properties make the model very useful in the ROC curve analyses. Thus, the bi\u2010Weibull model should be considered as an alternative when the restrictive distributional assumptions of the commonly used parametric models (e.g., binormal model) are not met.<\/jats:p>","DOI":"10.1002\/pst.70038","type":"journal-article","created":{"date-parts":[[2025,9,5]],"date-time":"2025-09-05T13:54:05Z","timestamp":1757080445000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["Comparing Estimation Methods for the Area Under the <scp>Bi\u2010Weibull<\/scp><scp>ROC<\/scp> Curve"],"prefix":"10.1002","volume":"24","author":[{"given":"Ruhul Ali","family":"Khan","sequence":"first","affiliation":[{"name":"The Ragon Institute and Harvard Medical School  Cambdrige Massachusetts USA"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-8572-1944","authenticated-orcid":false,"given":"Musie","family":"Ghebremichael","sequence":"additional","affiliation":[{"name":"The Ragon Institute and Harvard Medical School  Cambdrige Massachusetts USA"},{"name":"Massachusetts General Hospital Biostatistics  Somerville Massachusetts USA"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"311","published-online":{"date-parts":[[2025,9,5]]},"reference":[{"key":"e_1_2_8_2_1","doi-asserted-by":"publisher","DOI":"10.1016\/0022-2496(69)90019-4"},{"key":"e_1_2_8_3_1","doi-asserted-by":"publisher","DOI":"10.1214\/aos\/1033066197"},{"key":"e_1_2_8_4_1","doi-asserted-by":"publisher","DOI":"10.1002\/(SICI)1097-0258(19971015)16:19<2143::AID-SIM655>3.0.CO;2-3"},{"key":"e_1_2_8_5_1","doi-asserted-by":"publisher","DOI":"10.1002\/sim.1228"},{"key":"e_1_2_8_6_1","doi-asserted-by":"publisher","DOI":"10.1177\/0272989X09360067"},{"key":"e_1_2_8_7_1","doi-asserted-by":"publisher","DOI":"10.3844\/jmssp.2019.55.64"},{"key":"e_1_2_8_8_1","doi-asserted-by":"publisher","DOI":"10.1109\/TR.2006.874918"},{"key":"e_1_2_8_9_1","doi-asserted-by":"publisher","DOI":"10.22237\/jmasm\/1398917940"},{"key":"e_1_2_8_10_1","doi-asserted-by":"publisher","DOI":"10.1111\/j.2517-6161.1972.tb00899.x"},{"key":"e_1_2_8_11_1","doi-asserted-by":"publisher","DOI":"10.1093\/biomet\/62.2.269"},{"key":"e_1_2_8_12_1","doi-asserted-by":"publisher","DOI":"10.1080\/03610918.2022.2032159"},{"key":"e_1_2_8_13_1","doi-asserted-by":"publisher","DOI":"10.1001\/jama.296.3.292"},{"key":"e_1_2_8_14_1","doi-asserted-by":"publisher","DOI":"10.1080\/02664763.2017.1420758"},{"key":"e_1_2_8_15_1","doi-asserted-by":"publisher","DOI":"10.1186\/s12879-020-05458-w"},{"key":"e_1_2_8_16_1","doi-asserted-by":"publisher","DOI":"10.1097\/OLQ.0b013e3181a866b8"},{"key":"e_1_2_8_17_1","doi-asserted-by":"publisher","DOI":"10.1097\/01.olq.0000218878.29220.8e"}],"container-title":["Pharmaceutical Statistics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1002\/pst.70038","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,9,15]],"date-time":"2025-09-15T16:03:18Z","timestamp":1757952198000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1002\/pst.70038"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2025,9]]},"references-count":16,"journal-issue":{"issue":"5","published-print":{"date-parts":[[2025,9]]}},"alternative-id":["10.1002\/pst.70038"],"URL":"https:\/\/doi.org\/10.1002\/pst.70038","archive":["Portico"],"relation":{},"ISSN":["1539-1604","1539-1612"],"issn-type":[{"value":"1539-1604","type":"print"},{"value":"1539-1612","type":"electronic"}],"subject":[],"published":{"date-parts":[[2025,9]]},"assertion":[{"value":"2025-02-18","order":0,"name":"received","label":"Received","group":{"name":"publication_history","label":"Publication History"}},{"value":"2025-08-15","order":2,"name":"accepted","label":"Accepted","group":{"name":"publication_history","label":"Publication History"}},{"value":"2025-09-05","order":3,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}],"article-number":"e70038"}}