mODa 11 - Advances in Model-Oriented Design and Analysis

Name: 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, 2016
Brand: Springer
Price: 96.29 EUR
Availability: OnlineOnly

Proceedings of the 11th International Workshop in Model-Oriented Design and Analysis held in Hamminkeln, Germany, June 12-17, 2016

Joachim Kunert Christine H. Müller Anthony C. Atkinson(Editor)

Springer (Publisher)

Published on 6. June 2016

XIV, 254 pages

E-Book

PDF with digital watermarking

System requirements

978-3-319-31266-8 (ISBN)

€96.29incl. 7% vat

System requirements

for PDF with digital watermarking

E-Book Single Licence

Available for download

Description

More details

Other editions

Persons

Content

Intro
Preface
Contents
List of Contributors
On Applying Optimal Design of Experiments when Functional Observations Occur
1 Introduction
2 Model Description
3 Infinite and Finite-Dimensional Results
4 Optimal Designs
4.1 Interpretation
4.1.1 Functional D-Optimum Designs
4.1.2 Functional A-Optimum Designs
4.1.3 Functional E-Optimum Designs
5 Future Developments
References
Optimal Designs for Implicit Models
1 Introduction
1.1 Case Study Background
1.2 Optimal Experimental Design: General Background
2 Inverse Function Theorem for Computing the FIM
3 Optimal Designs for the Case Study
4 Concluding Remarks
References
Optimum Experiments with Sets of Treatment Combinations
1 Introduction
2 A Simple Response Surface Example
3 Equivalence Theorem
4 Algorithms
5 Extensions
References
Design Keys for Multiphase Experiments
1 Experiments with a Single Phase
2 Two-Phase Experiments
3 Generalizations
References
On Designs for Recursive Least Squares Residuals to DetectAlternatives
1 Introduction
2 Recursive Residuals
3 Designs for Detecting Alternatives
4 Some Proofs
References
A Multi-objective Bayesian Sequential Design Based on Pareto Optimality
1 Introduction
2 Some Concepts from Multi-objective Optimisation
3 The Multi-objective Bayesian Sequential DOE Approach
3.1 The Proposed Bayesian Utility Function
4 Simulated Case Study
4.1 Performance Indicators
4.2 Results
5 Conclusions
References
Optimum Design via I-Divergence for Stable Estimation in Generalized Regression Models
1 Introduction
2 Basic Properties of Model (1)
3 Variability, Stability and I-Divergence
4 Extended Optimality Criteria
References
On Multiple-Objective Nonlinear Optimal Designs
1 Introduction
2 Set Up and Notation
3 Algorithm
The Main Algorithm
3.1 Convergence and Computational Cost
4 Numerical Examples
5 Discussion
References
Futher Reading
Design for Smooth Models over Complex Regions
1 Introduction
2 Smooth Supersaturated Model (SSM)
2.1 Univariate Polynomial Formulation
2.2 Multivariate Polynomial Formulation
2.3 Fitting the Interpolator to Data
3 Smoothing over Complex Regions
3.1 Boxing the Region
3.2 Polyhedral Regions
3.3 Gram-Schmidt Orthogonalization of SSM Bases
4 Designing for SSM in Complex Regions
4.1 Design Using Roughness ?2
4.2 Design for Distortion J
5 Discussion and Future Work
References
PKL-Optimality Criterion in Copula Models for Efficacy-Toxicity Response
1 Introduction
2 Bivariate Copula-Based Model
3 Binary Model for Efficacy and Toxicity
4 PKL-Optimality Criterion
5 Simulation
References
Efficient Circular Cross-over Designs for Models with Interaction
1 Introduction
2 Interaction Repeated Measurement Models and Information Matrices
3 Universally Optimal Approximate Designs
4 Examples of Optimal Designs
4.1 k=4, t=4
4.2 k=5, t=5
4.3 k=6, t=6
4.4 k=7, t=7
4.5 k=8, t=4
References
Survival Models with Censoring Driven by Random Enrollment
1 Introduction
2 Model
2.1 Assumptions and Notation
2.2 Elemental Information Matrix in Survival Analysis Setting
3 Random Subject Accrual
4 Example: Proportional Hazard Family
5 Conclusion
References
Optimal Design for Prediction in Random Field Models via Covariance Kernel Expansions
1 Introduction
2 Bayesian Linear Models
3 Optimal Design
4 Kernel Reduction for Models with Parametric Trend
References
Asymptotic Properties of an Adaptive Randomly Reinforced Urn Model
1 Introduction
2 Randomly Reinforced Urn Design
2.1 Asymptotic Results for an RRU Design
3 Adaptive Randomly Reinforced Urn Design
3.1 Consistency for an ARRU Model
3.2 Asymptotic Distribution for an ARRU Model
3.3 Conclusions
References
Design of Computer Experiments Using Competing Distances Between Set-Valued Inputs
1 Introduction
2 Motivating Case Study
3 Distance Methods: Basics and Considered Distances
4 Application Results
5 Conclusion and Perspectives
References
Optimal Design for the Rasch Poisson-Gamma Model
1 Introduction
2 The Poisson-Gamma Model for Count Data
3 Information and Design
4 Two Binary Predictors
5 Efficiency
6 Discussion
References
Regular Fractions of Factorial Arrays
1 Introduction
2 Generalized Word Length Patterns, SCCs, and R2 Values
3 The New Regularity Definitions
4 Final Remarks
References
Likelihood-Free Extensions for Bayesian Sequentially Designed Experiments
1 Introduction
2 Estimation Procedure
2.1 Sequential Monte Carlo Sampling for Sequential Design
2.2 Modifications for Intractable Likelihoods
2.3 Synthetic Likelihood
3 Example
3.1 Example Setup
3.2 Settings
3.3 Results
4 Conclusion
References
A Confidence Interval Approach in Self-Designing Clinical Trials
1 Introduction
2 Basic Principles of a Self-Designing Study
3 A Confidence Interval for the Mean Difference
4 Adaptive Planning for Sample Sizes and Weights
5 An Example Showing Switching from Non-inferiority to Superiority
6 Discussion
References
Conditional Inference in Two-Stage Adaptive Experiments via the Bootstrap
1 Introduction
2 The Model and an Illustration of the Problem
3 Conditional Bootstrap Inference
3.1 Technical Details for the Conditional Bootstrap
4 Adjusted Conditional Bootstrap Methods
References
Study Designs for the Estimation of the Hill Parameter in Sigmoidal Response Models
1 Introduction
2 Response Model and Problem Setting
3 Design Considerations
3.1 Designs for the Piecewise Linear Function
3.2 Design Criteria for the Sigmoid EMax Model
4 Design Evaluation
5 Discussion
References
Controlled Versus ``Random'' Experiments: A Principle
1 The Principle
2 A Simple Example
3 The General Regression Case
4 Future Research
References
Adaptive Designs for Optimizing Online Advertisement Campaigns
1 Introduction
2 Formal Statement of the Problem
2.1 Field-Aware Factorization Machines (FFM)
2.2 Gradient Boosting Machines (GBM)
3 Generic Adaptive Strategy for Maximizing the CTR of an Advertising Campaign
4 Analysis of Real Data
References
Interpolation and Extrapolation in Random Coefficient Regression Models: Optimal Design for Prediction
1 Introduction
2 Model Specification and Prediction
3 c-Optimal Design
4 Optimal Designs for Interpolation and Extrapolation
5 Discussion and Outlook
References
Invariance and Equivariance in Experimental Design for Nonlinear Models
1 Introduction
2 Model, Transformation and Local Optimality
3 Example
4 Weighted Optimality and Maximin Designs
5 Example (Continued)
6 Discussion
References
Properties of the Random Block Design for Clinical Trials
1 Introduction
2 Random Block Design
3 Exact Distribution of Dj
4 Selection Bias
5 Balancing Properties
6 Discussion
References
Functional Data Analysis in Designed Experiments
1 Introduction
2 Model and Analysis for Split-Plot Design
3 Hypothesis Tests
3.1 F-Type Test for Factor H
3.2 F-Type Tests for Factor A and for Interaction HA
4 Simulation Study
5 Conclusions
References
Analysis and Design in the Problem of Vector Deconvolution
1 Introduction
2 Solving the Estimation Problems
2.1 Matrix Form of the Convolution Operation
2.2 Solving the Estimation Problems
3 Solving the Design Problems
3.1 Solving Design Problem 1
3.2 Solving Design Problem 2
4 Application: Low-Rank Approximation of Hankel Matrices
References
Index

Content (PDF)

System requirements

Save as PDF Copy link into clipboard

Schweitzer Fachinformationen

mODa 11 - Advances in Model-Oriented Design and Analysis

Description

More details

Other editions

Additional editions

Persons

Content

System requirements