Schorning K, Dette H, Kettelhake K, Wong WK, Bretz F. Optimal designs for active controlled dose-finding trials with efficacy-toxicity outcomes.
Biometrika 2018;
104:1003-1010. [PMID:
29430043 PMCID:
PMC5793717 DOI:
10.1093/biomet/asx057]
[Citation(s) in RCA: 6] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/13/2016] [Indexed: 11/12/2022] Open
Abstract
We derive optimal designs to estimate efficacy and toxicity in active controlled dose-finding trials when the bivariate continuous outcomes are described using nonlinear regression models. We determine upper bounds on the required number of different doses and provide conditions under which the boundary points of the design space are included in the optimal design. We provide an analytical description of minimally supported optimal designs and show that they do not depend on the correlation between the bivariate outcomes.
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