{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,7,10]],"date-time":"2024-07-10T13:10:37Z","timestamp":1720617037537},"reference-count":31,"publisher":"Oxford University Press (OUP)","issue":"1","license":[{"start":{"date-parts":[[2018,9,17]],"date-time":"2018-09-17T00:00:00Z","timestamp":1537142400000},"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":[[2019,2,1]]},"abstract":"<jats:title>Summary<\/jats:title><jats:p>Optimal designs for multiple-regression models are determined. We consider a general class of non-linear models including proportional hazards models with different censoring schemes, the Poisson and the negative binomial model. For these models we provide a complete characterization of c-optimal designs for all vectors c in the case of a single covariate. For multiple regression with an arbitrary number of covariates, c-optimal designs for certain vectors c are derived analytically. Using some general results on the structure of optimal designs for multiple regression, we determine L- and \u03d5k-optimal designs for models with an arbitrary number of covariates.<\/jats:p>","DOI":"10.1111\/rssb.12292","type":"journal-article","created":{"date-parts":[[2018,9,18]],"date-time":"2018-09-18T03:09:32Z","timestamp":1537240172000},"page":"101-120","source":"Crossref","is-referenced-by-count":5,"title":["Characterization of<i>c<\/i>-,<i>L<\/i>- and<i>\u03d5<\/i><i>k<\/i>-optimal Designs for a Class of Non-Linear Multiple-Regression Models"],"prefix":"10.1093","volume":"81","author":[{"given":"Dennis","family":"Schmidt","sequence":"first","affiliation":[{"name":"Otto-von-Guericke-Universit\u00e4t Magdeburg \u00a0 Germany"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"286","published-online":{"date-parts":[[2018,9,17]]},"reference":[{"key":"2023022002400972200_","doi-asserted-by":"crossref","DOI":"10.1093\/oso\/9780199296590.001.0001","volume-title":"Optimum Experimental Designs, with SAS","author":"Atkinson","year":"2007"},{"key":"2023022002400972200_","doi-asserted-by":"crossref","first-page":"586","DOI":"10.1214\/aoms\/1177728915","article-title":"Locally optimal designs for estimating parameters","volume":"24","author":"Chernoff","year":"1953","journal-title":"Ann. 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