2001
DOI: 10.1177/009286150103500433
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Optimal Design of Dose Response Experiments: A Model-Oriented Approach

Abstract: We discuss optimal experimental design issues for nonlinear models arising in dose response studies. The optimization is pegormed with respect to various criteria which depend on the Fisher information matrix. Special attention is given to models with a variance component that depends on unknown parameters.

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Cited by 25 publications
(18 citation statements)
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“…The Emax-sigmoid model and the 4-parameter logistic model have been frequently used for concentration-response or dose-response modeling. [27][28][29][30][31] The absolute difference between the best 4PL approximation and these dose response curves is less than 0.1 at all doses. The parametrization we use for 4PL is:…”
Section: Analysis Models For Phase 2 Efficacy Datamentioning
confidence: 97%
“…The Emax-sigmoid model and the 4-parameter logistic model have been frequently used for concentration-response or dose-response modeling. [27][28][29][30][31] The absolute difference between the best 4PL approximation and these dose response curves is less than 0.1 at all doses. The parametrization we use for 4PL is:…”
Section: Analysis Models For Phase 2 Efficacy Datamentioning
confidence: 97%
“…In addition to (number of) dose levels, other design factors can be optimized to ensure collection of informative data in exploratory trials, such as number of patients (study size), number of samples, sampling times, and study duration. [63][64][65][66][67][68][69] A major challenge in optimal design of nonlinear models is that the FIM is a function of unknown parameters. Such parameter estimates can sometimes be obtained from previous studies or another relevant study i.e., another drug in the class.…”
Section: Multiple Comparison Procedures and Modeling (Mcp-mod)mentioning
confidence: 99%
“…Although the consideration of optimal designs for dose response models has found considerable interest in the recent literature [see for example Fedorov and Leonov (2001), Wang (2006), Zhu and Wong (2000), Dette et al (2008), Dragalin et al (2010) and Dette et al (2013) among many others], we are not aware of any work on design of experiments for the comparison of two parametric regression curves. However, the effective planning of the experiments in the comparison of curves will yield to a substantially more accurate statistical inference.…”
Section: Introductionmentioning
confidence: 99%