ISBN: 3790814008
TITLE: mODa 6 - Advances in Model-Oriented Design and Analysis
AUTHOR: Atkinson et al.
TOC:

Trend-free Repeated Measurement Designs 1
K. Afsarinejad
1 Introduction 1
2 Notation and definitions 2
3 Model and conditions for trend-free RMDS 3
4 Main results 4
Minimax Optimal Designs for Nonparametric Regression - A Further Optimality Property of the Uniform
Distribution 13
S. Biedermann, H. Dette
1 Introduction 13
2 Asymptotic representation of the integrated mean squared error of a nonparametric regression estimator 15
3 Optimal designs minimizing the maximum integrated mean squared error 16
Optimization of Monitoring Networks for Estimation of the
Semivariance Function 21
E.P.J. Boer, E.M.T. Hendrix, D.A.M.K. Rasch
1 Introduction 21
2 Theory 22
3 Case study 24
4 Results 25
5 Discussion and conclusions 27
A-optimal Chemical Balance Weighing Designs with Diagonal Covariance Matrix of Errors 29
B. Ceranka, K. Katulska
1 Introduction 29
2 A lower bound for tr(X'G^-1X)^-l 30
3 A-optimal weighing designs 33
Replications with Grbner Bases 37
A.M. Cohen, A. Di Bucchianico, E. Riccomagno
1 Introduction 37
2 Basic setup 38
3 Identifiability of linear models 39
4 A polynomial algebraic representation of L(D) 40
5 Examples 42
Extracting Information from the Variance Function: Optimal Design 45
D. Downing, V.V. Fedorov, S. Leonov
1 Model, MLE and iterated estimators 45
2 Optimal design 48
3 Examples 50
Model Validity Range in Multicentre Clinical Trials 53
V. Dragalin, V. V. Fedorov
1 Combined response to treatment: definitions and models 53
2 Estimators and model validity range 54
3 Conclusions 61
Two Models of Nonadaptive Group Testing for Designing Screening Experiments 63
A.G. D'yachkov, A. J. Macula, D.C. Torney, P.A. Vilenkin

1 Description of the models 63
2 Superimposed codes 66
3 Concatenated construction for superimposed codes 70
4 Examples 73
Optimal Designs for a Continuation-ratio Model 77
S.K. Fan, K. Chaloner
1 Introduction 77
2 Locally D-optimal designs 80
3 Bayesian D-optimal designs 81
4 c-optimal designs 84
5 Conclusion 85
Bayesian Interpolation Schemes for Monitoring Systems 87
K. Felsenstein
1 Introduction 87
2 Estimation of monitoring functions 89
3 Interpolation 91 
4 Applications 94
Optimality of the Wald SPRT for Processes with Continuous Time Parameter 97
L.I. Galtchouk
1 Introduction  97
2 Optimality of the Wald sequential test in the Bayesian setting 98
3 Main result 105
4 Examples and an auxiliary proposition 107
Efficient Paired Comparison Designs for Utility Elicitation 111
H. Gromann, U. Grahoff, H. Holling, R. Schwabe
1 Introduction 111
2 Reduction to the canonical form 113
3 The best two-point design 114
4 Efficient three-point designs 114
5 Discussion 116

Optimal Design for the Testing of Anti-malarial Drugs 119
L.M. Haines, G.P. Y. Clarke, E. Gouws, W.F. Rosenberger
1 Introduction 119
2 Preliminaries 120
3 Optimal designs 121
4 Conclusions 125
Optimal Adaptive Designs for Delayed Response Models: Exponential Case 127
J. Hardwick, R. Oehmke, Q. F. Stout
1 Introduction 127
2 Models with exponential delay 128
3 A randomized play-the-winner rule 130
4 Results of comparisons  130
5 Conclusions 133
Non-D-optimality of the Simplex Centroid Design for Regression Models Homogeneous of Degree p 135
R.-D. Hilgers
1 Introduction 135
2 Non D-optimality 136
3 Comments 130
New Upper Bounds for Maximum-Entropy Sampling 143
A. Hoffman, J. Lee, J. Williams
1 Introduction 143
2 Partition bounds 145
3 Spectral partition bounds 148
Residuals 155
H. Luter
1 Introduction 155
2 Joint distribution of Y_1 and medY 156
3 Distribution of Y_1 - medY and Y_1 - Y 159
4 Consequences and recommendations 161
Asymptotically Optimal Sequential Discrimination between Markov Chains 163
M.B. Malyutov, I.I. Tsitovich
1 Introduction and setting of the problem 163
2 Results 165
3 Asymptotically optimal strategy 166
4 Proof 167
Optimum Experimental Designs for a Modified Inverse Linear Model 171
I. Martnez, I. Ortiz, C. Rodriguez
1 Introduction 171
2 D-optimal designs 173
3 Other optimal designs 177
4 Some numerical examples 178
Permutation Tests for Effects in Unbalanced Repeated
Measures Factorial Designs 183
D. Mazzaro, F. Pesarin, L. Salmaso
1 Introduction 183
2 Synchronized permutations in 2^2 balanced and unbalanced
designs 184
3 Permutation tests for balanced and unbalanced repeated measures designs 188
4 Simulation study 189
5 Conclusions 190
The Influence of the Design on the Breakdown Point of l_1-type M-estimators 193
I. Mizera, Ch.H. Mller
1 Introduction 193
2 Computation of M(X) 194
3 M(X) as a design criterion 197
4 Applications for leverage/influence diagnostics 198
Analytical Properties of Locally D-optimal Designs for Rational Models 201
V.B. Melas
1 Introduction 201
2 Outline of the problem 202
3 Preliminary results 203
4 Definition and properties of optimal design-functions 205
5 Examples 207
6 Concluding remarks 209
Understanding Aliasing Using Grbner Bases 211
G. Pistone, E. Riccomagno, H.P. Wynn
1 The Grbner basis method 211
2 A theorem on aliasing 212
3 Further examples 214
4 Conclusion 215
Average D-optimum Design for Randomly Varying Experiment
L. Pronzato
1 Introduction 217
2 Expected determinants 219
3 Examples 221
Constrained Bayesian Optimal Designs for Phase I Clinical Trials: Continuous Dose Space 225
W.F. Rosenberger, L.M. Haines, I. Perevozskaya
1 Motivation 225
2 Constrained Bayesian D-optimal designs 226
3 Numerical methods 228
4 Results 229
5 Conclusions 230
Trend-Robust and Budget Constrained Optimum Designs 235
L. Tack, M. Vandebroek
1 Introduction 235
2 Time trends in design of experiments 236
3 Cost-efficient design of experiments 237
4 Trend-resistant design of experiments under budget constraints 237
5 The cryogenic flow meter experiment 239
6 Conclusion 242
Minimax Designs for Logistic Regression in a Compact Interval 243
B. Torsney, J. Lpez-Fidalgo
1 Introduction 243
2 Some basic results 245
3 MV-optimal designs 246
4 Conditions of optimality for MV-criterion 248
5 Asymmetric design intervals 249
Sensor Motion Planning with Design Criteria in Output Space 251
D. Ucinki
1 Introduction 251
2 Sensor location problem 252
3 Optimal-control formulation 254
4 Minimization algorithm 255
5 Numerical example 256
6 Conclusion 257
Quality Improvement of Signal-Dependent Systems 259
I.N. Vuchkov, L.N. Boyadjieva
1 Introduction 259
2 Mean and variance models of the performance characteristics of signal-dependent systems 260
3 Variance models for performance characteristics depending on time 262
4 Example: quality improvement of a process with an observable and uncontrollable factor 264
Recursive Algorithm for Digital Diffusion Networks and Applications to Image Processing 267
G. Yin, P.A. Kelly, M.H. Dowell
1 Introduction 267
2 Properties of the digital diffusion networks 268
3 Application to image estimation 270
4 Further remarks 274
List of Authors 277
List of Referees 283
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