Intro; Foreword; Preface; References; Contents; 1 Introduction; 1.1 Experiments; 1.1.1 Examples; 1.1.2 Experimental Characteristics; 1.1.3 Type of Experiments; 1.2 Basic Terminologies Used; 1.3 Statistical Models; 1.3.1 Factorial Designs and ANOVA Models; 1.3.2 Fractional Factorial Designs; 1.3.3 Linear Regression Models; 1.3.4 Nonparametric Regression Models; 1.3.5 Robustness of Regression Models; 1.4 Word-Length Pattern: Resolution and Minimum Aberration; 1.4.1 Ordering; 1.4.2 Defining Relation; 1.4.3 Word-Length Pattern and Resolution; 1.4.4 Minimum Aberration Criterion and Its Extension

1.5 Implementation of Uniform Designs for Multifactor Experiments1.6 Applications of the Uniform Design; References; 2 Uniformity Criteria; 2.1 Overall Mean Model; 2.2 Star Discrepancy; 2.2.1 Definition; 2.2.2 Properties; 2.3 Generalized L2-Discrepancy; 2.3.1 Definition; 2.3.2 Centered L2-Discrepancy; 2.3.3 Wrap-around L2-Discrepancy; 2.3.4 Some Discussion on CD and WD; 2.3.5 Mixture Discrepancy; 2.4 Reproducing Kernel for Discrepancies; 2.5 Discrepancies for Finite Numbers of Levels; 2.5.1 Discrete Discrepancy; 2.5.2 Lee Discrepancy; 2.6 Lower Bounds of Discrepancies

2.6.1 Lower Bounds of the Centered L2-Discrepancy2.6.2 Lower Bounds of the Wrap-around L2-Discrepancy; 2.6.3 Lower Bounds of Mixture Discrepancy; 2.6.4 Lower Bounds of Discrete Discrepancy; 2.6.5 Lower Bounds of Lee Discrepancy; References; 3 Construction of Uniform Designs-Deterministic Methods; 3.1 Uniform Design Tables; 3.1.1 Background of Uniform Design Tables; 3.1.2 One-Factor Uniform Designs; 3.2 Uniform Designs with Multiple Factors; 3.2.1 Complexity of the Construction; 3.2.2 Remarks; 3.3 Good Lattice Point Method and Its Modifications; 3.3.1 Good Lattice Point Method

3.3.2 The Leave-One-Out glpm3.3.3 Good Lattice Point with Power Generator; 3.4 The Cutting Method; 3.5 Linear Level Permutation Method; 3.6 Combinatorial Construction Methods; 3.6.1 Connection Between Uniform Designs and Uniformly Resolvable Designs; 3.6.2 Construction Approaches via Combinatorics; 3.6.3 Construction Approach via Saturated Orthogonal Arrays; 3.6.4 Further Results; References; 4 Construction of Uniform Designs-Algorithmic Optimization Methods; 4.1 Numerical Search for Uniform Designs; 4.2 Threshold-Accepting Method; 4.3 Construction Method Based on Quadratic Form

4.3.1 Quadratic Forms of Discrepancies4.3.2 Complementary Design Theory; 4.3.3 Optimal Frequency Vector; 4.3.4 Integer Programming Problem Method; References; 5 Modeling Techniques; 5.1 Basis Functions; 5.1.1 Polynomial Regression Models; 5.1.2 Spline Basis; 5.1.3 Wavelets Basis; 5.1.4 Radial Basis Functions; 5.1.5 Selection of Variables; 5.2 Modeling Techniques: Kriging Models; 5.2.1 Models; 5.2.2 Estimation; 5.2.3 Maximum Likelihood Estimation; 5.2.4 Parametric Empirical Kriging; 5.2.5 Examples and Discussion; 5.3 A Case Study on Environmental Data-Model Selection; References