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