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Study Designs for the Estimation of the Hill Parameter in Sigmoidal Response Models

  • Tobias MielkeEmail author
Conference paper
Part of the Contributions to Statistics book series (CONTRIB.STAT.)

Abstract

Sigmoidal models are frequently considered for the description of the dose-response relationship in dose-finding studies. Designs for these models depend on unknown parameters, which enter the model in a nonlinear way. A particular problem in frequentistic analysis using the sigmoid EMax model is the estimation of the Hill parameter, which may be problematic to estimate. The estimation problem for the Hill parameter and a model-based design approach to limit this problem will be examined in this paper.

Keywords

Maximum Likelihood Estimator Asymptotic Normality Fisher Information Matrix EMax Model Piecewise Linear Model 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Notes

Acknowledgements

The author is grateful for very valuable discussions and input on this topic from Bjoern Bornkamp, Rainer Schwabe, Vladimir Dragalin and Valerii Fedorov.

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Copyright information

© Springer International Publishing Switzerland 2016

Authors and Affiliations

  1. 1.ICON Clinical ResearchCologneGermany

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