2012
DOI: 10.1080/10543406.2011.580484
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Comparison of Robust Criteria for D-Optimal Designs

Abstract: This study compared the performance of a local and three robust optimality criteria in terms of the standard error for a one-parameter and a two-parameter nonlinear model with uncertainty in the parameter values. The designs were also compared in conditions where there was misspecification in the prior parameter distribution. The impact of different correlation between parameters on the optimal design was examined in the two-parameter model. The designs and standard errors were solved analytically whenever pos… Show more

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Cited by 11 publications
(9 citation statements)
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References 9 publications
(11 reference statements)
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“…Alternatives such as Monte Carlo integration [61], Laplace approximation [62], or adaptive Gaussian quadrature [63] could be used with our models. Wide ranges of individual RSE were also observed from CTS for the same parameters, which suggested the development of robust criteria based on M BF that take into account extreme individuals, inspired from those already developed for M PF [64]. Previously, it has been shown that the optimal population design gives satisfactory efficiency for MAP estimation of individual parameters [20], that is why here we optimized first the best one group population design and then evaluated it for individual estimation.…”
Section: Discussionmentioning
confidence: 84%
“…Alternatives such as Monte Carlo integration [61], Laplace approximation [62], or adaptive Gaussian quadrature [63] could be used with our models. Wide ranges of individual RSE were also observed from CTS for the same parameters, which suggested the development of robust criteria based on M BF that take into account extreme individuals, inspired from those already developed for M PF [64]. Previously, it has been shown that the optimal population design gives satisfactory efficiency for MAP estimation of individual parameters [20], that is why here we optimized first the best one group population design and then evaluated it for individual estimation.…”
Section: Discussionmentioning
confidence: 84%
“…13 More efficient algorithms could also be explored, such as stochastic approximation, annealing methods, randomized exchange algorithm, 45 multiplicative method 46 or particle swarm optimization. 47,48 It is also important to account for uncertainty in parameters in addition to uncertainty in models, 49,50 by evaluating the expectation of the FIM over the distribution of population parameters instead of assuming known values of these parameters. We also plan to integrate these robust design methods (over the parameter distribution and over the models) in a next version of PFIM, which is the software program for designing longitudinal studies developed by our team (www.pfim.biostat.fr).…”
Section: Discussionmentioning
confidence: 99%
“…However, it requires a priori knowledge of the model and its parameters, which can usually be obtained from previous experiments and which leads to locally optimal designs. Alternatives to locally optimal designs are robust designs, relying on a priori distribution of parameters [24,25], or adaptive designs, which use accumulating information in order to decide how to modify predefined aspects of the study during its implementation instead of leaving them fixed until the end [26,27]. An adaptive design approach in NLMEMs that optimizes the design of each cohort while taking into account previous FIM obtained from previous cohorts has been proposed [28,29].…”
Section: Introductionmentioning
confidence: 99%