Optimal design for nonlinear response models

Content: Regression Models and Their Analysis Linear Model, Single Response More about Information Matrix Generalized Versions of Linear Regression Model Nonlinear Models Maximum Likelihood and Fisher Information Matrix Generalized Regression and Elemental Fisher Information Matrices Nonlinear Regression with Normally Distributed Observations Convex Design Theory From Optimal Estimators to Optimal Designs Optimality Criteria Properties of Optimality Criteria Continuous Optimal Designs Sensitivity Function and Equivalence Theorems Equivalence Theorem, Examples Optimal Designs with Prior Information Regularization Optimality Criterion Depends on Estimated Parameters or Unknown Constants Response Function Contains Uncontrolled and Unknown Independent Variables Response Models with Random Parameters Algorithms and Numerical Techniques First-Order Algorithm: D-Criterion First-Order Algorithm: General Case Finite Sample Size Other Algorithms Optimal Design under Constraints Single Constraint Multiple Constraints Constraints for Auxiliary Criteria Directly Constrained Design Measures Nonlinear Response Models Bridging Linear and Nonlinear Cases Mitigating Dependence on Unknown Parameters Box and Hunter Adaptive Design Generalized Nonlinear Regression: Use of Elemental Information Matrices Model Discrimination Locally Optimal Designs in Dose Finding Binary Models Normal Regression Models Dose Finding for Efficacy-Toxicity Response Bivariate Probit Model for Correlated Binary Responses Examples of Optimal Designs in PK/PD Studies Introduction PK Models with Serial Sampling: Estimation of Model Parameters Estimation of PK Metrics Pharmacokinetic Models Described by Stochastic Differential Equations Software for Constructing Optimal Population PK/PD Designs Adaptive Model-Based Designs Adaptive Design for Emax model Adaptive Designs for Bivariate Cox Model Adaptive Designs for Bivariate Probit Model Other Applications of Optimal Designs Methods of Selecting Informative Variables Best Intention Designs in DoseFinding Studies Useful Matrix Formulae Symbols and Notation Definitions Matrix Derivatives Partitioned Matrices Kronecker Products Equalities Inequalities Bibliography Index