## mODa 11 - Advances in Model-Oriented Design and Analysis: Proceedings of the 11th International Workshop in Model-Oriented Design and Analysis held in Hamminkeln, Germany, June 12-17, 2016Joachim Kunert, Christine H. Müller, Anthony C. Atkinson
This volume contains pioneering contributions to both the theory and practice of optimal experimental design. Topics include the optimality of designs in linear and nonlinear models, as well as designs for correlated observations and for sequential experimentation. There is an emphasis on applications to medicine, in particular, to the design of clinical trials. Scientists from Europe, the US, Asia, Australia and Africa contributed to this volume of papers from the 11th Workshop on Model Oriented Design and Analysis. |

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### Contents

1 | |

11 | |

Optimum Experiments with Sets of Treatment Combinations | 19 |

Design Keys for Multiphase Experiments | 27 |

On Designs for Recursive Least Squares Residuals to DetectAlternatives | 37 |

A Multiobjective Bayesian Sequential Design Based on Pareto Optimality | 47 |

Optimum Design via IDivergence for Stable Estimation in Generalized Regression Models | 55 |

On MultipleObjective Nonlinear Optimal Designs | 63 |

Optimal Design for the Rasch PoissonGamma Model | 133 |

Regular Fractions of Factorial Arrays | 143 |

LikelihoodFree Extensions for Bayesian Sequentially Designed Experiments | 153 |

A Confidence Interval Approach in SelfDesigning Clinical Trials | 163 |

Conditional Inference in TwoStage Adaptive Experiments via the Bootstrap | 173 |

Study Designs for the Estimation of the Hill Parameter in Sigmoidal Response Models | 183 |

A Principle | 191 |

Adaptive Designs for Optimizing Online Advertisement Campaigns | 199 |

Design for Smooth Models over Complex Regions | 71 |

PKLOptimality Criterion in Copula Models for EfficacyToxicity Response | 79 |

Efficient Circular Crossover Designs for Models with Interaction | 87 |

Survival Models with Censoring Driven by Random Enrollment | 95 |

Optimal Design for Prediction in Random Field Models via Covariance Kernel Expansions | 103 |

Asymptotic Properties of an Adaptive Randomly Reinforced Urn Model | 113 |

Design of Computer Experiments Using Competing Distances Between SetValued Inputs | 123 |

Optimal Design for Prediction | 209 |

Invariance and Equivariance in Experimental Design for Nonlinear Models | 217 |

Properties of the Random Block Design for Clinical Trials | 225 |

Functional Data Analysis in Designed Experiments | 235 |

Analysis and Design in the Problem of Vector Deconvolution | 243 |

252 | |

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### Common terms and phrases

ˇ ˇ ˇ adaptive Advances in Model-Oriented algorithm allocation applied approach array assume asymptotic Bayesian block Bmax bootstrap CC regularity clinical trials coefficient computed confidence interval consider Contributions to Statistics convergence copula corresponding covariance covariance matrix criterion D-optimal defined denote dependence Design and Analysis design key design matrix Design of Experiments design points design problem distance distribution e-mail effects efficiency example F-type factors Fisher information matrix given Hill parameter information matrix International Publishing Switzerland interpolation Kunert likelihood linear models locally optimal designs mean squared error methods minimizes mODa 11 Model-Oriented Design nonlinear normal distribution observations obtained optimal designs optimum orthogonal P-optimal dose Poisson polynomial prediction Publishing Switzerland 2016 random regression model Residual respect Schwabe Sect sequence sigmoid EMax model simulated Springer International Publishing symmetric Table treatment values variable variance vector weights