{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,3]],"date-time":"2026-06-03T12:19:59Z","timestamp":1780489199754,"version":"3.54.1"},"reference-count":48,"publisher":"Oxford University Press (OUP)","issue":"1","license":[{"start":{"date-parts":[[2013,8,12]],"date-time":"2013-08-12T00:00:00Z","timestamp":1376265600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/academic.oup.com\/journals\/pages\/open_access\/funder_policies\/chorus\/standard_publication_model"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2014,1,1]]},"abstract":"<jats:title>Summary<\/jats:title><jats:p>Dose finding studies often compare several doses of a new compound with a marketed standard treatment as an active control. In the past, however, research has focused mostly on experimental designs for placebo controlled dose finding studies. To the best of our knowledge, optimal designs for dose finding studies with an active control have not been considered so far. As the statistical analysis for an active controlled dose finding study can be formulated in terms of a mixture of two regression models, the related design problem is different from what has been investigated before in the literature. We present a rigorous approach to the problem of determining optimal designs for estimating the smallest dose achieving the same treatment effect as the active control. We determine explicitly the locally optimal designs for a broad class of models employed in such studies. We also discuss robust design strategies and determine related Bayesian and standardized minimax optimal designs. We illustrate the results by investigating alternative designs for a clinical trial which has recently appeared in a consulting project of one of the authors.<\/jats:p>","DOI":"10.1111\/rssb.12030","type":"journal-article","created":{"date-parts":[[2013,8,12]],"date-time":"2013-08-12T07:24:08Z","timestamp":1376292248000},"page":"265-295","source":"Crossref","is-referenced-by-count":10,"title":["Optimal Designs for Dose Finding Studies with an Active Control"],"prefix":"10.1093","volume":"76","author":[{"given":"Holger","family":"Dette","sequence":"first","affiliation":[{"name":"Ruhr-Universit\u00e4t Bochum Germany"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Christine","family":"Kiss,","sequence":"additional","affiliation":[{"name":"Ruhr-Universit\u00e4t Bochum Germany"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Norbert","family":"Benda","sequence":"additional","affiliation":[{"name":"Federal Institute for Drugs and Medical Devices , Bonn , Germany"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Frank","family":"Bretz","sequence":"additional","affiliation":[{"name":"Novartis Pharma, Basel , Switzerland"},{"name":"Shanghai University of Finance and Economics , People\ufffds Republic of China"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"286","published-online":{"date-parts":[[2013,8,12]]},"reference":[{"key":"2023031306055931900_","doi-asserted-by":"crossref","first-page":"469","DOI":"10.1198\/sbr.2010.08101","article-title":"Impact of dose selection strategies used in phase II on the probability of success in phase III","volume":"2","author":"Antonijevic","year":"2010","journal-title":"Statist. 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