A study of the performance of 2-stage adaptive optimal designs in a logistic dose-response model. Issue 5 (3rd May 2020)

• Record Type: Journal Article
• Authors: Nandy, Karabi; Nandy, Rajesh Ranjan
• Is Part Of: Communications in statistics. Volume 49:Issue 5(2020)
• Page Start: 1118
• Page End: 1141
• Publication Date: 2020-05-03
• Subjects: A-optimality -- D-optimality -- Dose-response model -- Information matrix -- Logistic regression model -- 2-Stage design; Mathematical statistics -- Periodicals; Mathematical statistics -- Data processing -- Periodicals; Digital computer simulation -- Periodicals; 519.5
• DOI: 10.1080/03610918.2015.1089284
• Languages: English
• ISSNs: 0361-0918

Abstract

Abstract: It is well-known that optimal designs for logistics regression models depend on the unknown parameter values. In practice, guess values are used as proxies. Thus the actual design implemented is a pseudo optimal design. In this article, we assess whether this problem in optimality from ill-guessed parameter values can be improved by a 2-stage optimal design. We examine the optimal allocation of resources to each stage and how the 2-stage optimal design compares to the single-stage pseudo optimal design for various departures of the guess values from the true parameter values. We restrict our study to A - and D -optimality.