This book contains interesting new results, both theoretical and computational.

1 Introduction.- 1.1 A practical design problem.- 1.2 Analysis of experiments.- 1.3 Design of experiments.- 1.4 Optimal designs.- 1.5 Standard response surface designs.- 1.6 Categorical designs.- 1.7 The D-optimality criterion.- 1.8 Updating the information matrix, its inverse and its determinant.- 1.9 Constructing discrete D-optimal designs.- 2 Advanced Topics in Optimal Design.- 2.1 Heterogeneous variance.- 2.2 Correlated observations.- 2.3 Blocking experiments.- 3 Compound Symmetric Error Structure.- 3.1 Restricted randomization.- 3.2 Model.- 3.3 Analysis.- 3.4 Information matrix.- 3.5 Equivalence of OLS and GLS.- 3.6 Small sample properties of the design criterion.- 4 Optimal Designs in the Presence of Random Block Effects.- 4.1 Introduction.- 4.2 The random block effects model.- 4.3 Optimal designs that do not depend on ?.- 4.4 Optimal designs when ? ? + ?.- 4.5 The general case.- 4.6 Computational results.- 4.7 Pastry dough mixing experiment..- 4.8 More than three factor levels.- 4.9 Efficiency of blocking.- 4.10 Optimal number of blocks and block sizes.- 4.11 Optimality of orthogonal blocking.- Appendix A. Design construction algorithm.- Appendix B. Adjustment algorithm.- 5 Optimal Designs for Quadratic Regression on One Variable and Blocks of Size Two.- 5.1 Introduction.- 5.2 Optometry experiment.- 5.3 Model.- 5.4 Continuous D-optimal designs.- 5.5 Exact D-optimal designs.- 5.6 Discussion.- 6 Constrained Split-Plot Designs.- 6.1 Introduction.- 6.2 Model.- 6.3 Analysis of a split-plot experiment.- 6.4 Design of a split-plot experiment.- 6.5 Some theoretical results.- 6.6 Design construction algorithm.- 6.7 Computational results.- 6.8 The protein extraction experiment.- 6.9 Algorithm evaluation.- 6.10 Cost efficiency and statistical efficiency.- Appendix A.Optimality of crossed split-plot designs.- Appendix B. V-optimality of 2m and 2m-f designs.- Appendix C. The construction algorithm.- Appendix D. Estimated expected efficiency.- 7 Optimal Split-Plot Designs in the Presence of Hard-to-Change Factors.- 7.1 Introduction.- 7.2 Model.- 7.3 Design construction algorithm.- 7.4 Computational results.- Appendix A. The construction algorithm.- Appendix B. Saturated designs with correlated observations.- 8 Optimal Split-Plot Designs.- 8.1 Introduction.- 8.2 Increasing the number of level changes.- 8.3 Design construction.- 8.4 Computational results.- 8.5 Discussion.- Appendix. The construction algorithm.- 9 Two-Level Factorial and Fractional Factorial Designs.- 9.1 Introduction.- 9.2 Blocking 2m and 2m-f factorial designs.- 9.3 2m and 2m-f split-plot designs.- 9.4 Discussion.- 10 Summary and Future Research.