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| Preface | |
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| Introduction. | |
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| Strategy of Experimentation | |
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| Some Typical Applications of Experimental Design | |
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| Basic Principles | |
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| Guidelines for Designing Experiments | |
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| A Brief History of Statistical Design | |
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| Summary: Using Statistical Techniques in Experimentation | |
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| Problems | |
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| Simple Comparative Experiments. | |
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| Introduction | |
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| Basic Statistical Concepts | |
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| Sampling and Sampling Distributions | |
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| Inferences About the Differences in Means, Randomized Designs | |
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| Inferences About the Differences in Means, Paired Comparison Designs | |
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| Inferences About the Variances of Normal Distributions | |
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| Problems | |
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| Experiments with a Single Factor: The Analysis of Variance. | |
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| An Example | |
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| The Analysis of Variance | |
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| Analysis of the Fixed Effects Model | |
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| Model Adequacy Checking | |
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| Practical Interpretation of Results | |
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| Sample Computer Output | |
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| Determining Sample Size | |
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| A Real Economy Application of a Designed Experiment | |
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| Discovering Dispersion Effects | |
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| The Regression Approach to the Analysis of Variance | |
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| Nonparametric Methods in the Analysis of Variance | |
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| Problems | |
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| Randomized Blocks, Latin Squares, and Related Designs. | |
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| The Randomized Complete Block Design | |
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| The Latin Square Design | |
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| The Graeco-Latin Square Design | |
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| Balanced Incomplete Block Designs | |
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| Problems | |
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| Introduction to Factorial Designs. | |
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| Basic Definitions and Principles | |
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| The Advantage of Factorials | |
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| The Two-Factor Factorial Design | |
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| The General Factorial Design | |
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| Fitting Response Curves and Surfaces | |
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| Blocking in a Factorial Design | |
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| Problems | |
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| The 2<sup>k</sup> Factorial Design. | |
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| Introduction | |
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| The 2<sup>2</sup> Design | |
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| The 2<sup>3</sup> Design | |
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| The General 2<sup>k</sup> Design | |
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| A Single Replicate of the 2<sup>k</sup> Design | |
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| Additional Examples of Unreplicated 2<sup>k</sup> Design | |
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| 2<sup>k</sup> Designs are Optimal Designs | |
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| The Addition of Center Points to the 2<sup>k</sup> Design | |
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| Why We Work with Coded Design Variables | |
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| Problems | |
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| Blocking and Confounding in the 2<sup>k</sup> Factorial Design. | |
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| Introduction | |
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| Blocking a Replicated 2<sup>k</sup> Factorial Design | |
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| Confounding in the 2<sup>k</sup> Factorial Design | |
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| Confounding the 2<sup>k</sup> Factorial Design in Two Blocks | |
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| Another Illustration of Why Blocking Is Important | |
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| Confounding the 2<sup>k</sup> Factorial Design in Four Blocks | |
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| Confounding the 2<sup>k</sup> Factorial Design in 2<sup>p</sup> Blocks | |
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| Partial Confounding | |
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| Problems | |
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| Two-Level Fractional Factorial Designs. | |
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| Introduction | |
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| The One-Half Fraction of the 2<sup>k</sup> Design | |
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| The One-Quarter Fraction of the 2<sup>k</sup> Design | |
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| The General 2<sup>k�p</sup> Fractional Factorial Design | |
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| Alias Structures in Fractional Factorials and other Designs | |
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| Resolution III Designs | |
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| Resolution IV and V Designs | |
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| Supersaturated Designs | |
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| Summary | |
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| Problems | |
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| Three-Level and Mixed-Level Factorial and Fractional Factorial Designs. | |
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| The 3<sup>k</sup> Factorial Design | |
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| Confounding in the 3<sup>k</sup> Factorial Design | |
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| Fractional Replication of the 3<sup>k</sup> Factorial Design | |
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| Factorials with Mixed Levels | |
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| Fitting Regression Models. | |
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| Introduction | |
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| Linear Regression Models | |
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| Estimation of the Parameters in Linear Regression Models | |
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| Hypothesis Testing in Multiple Regression | |
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| Confidence Intervals in Multiple Regression | |
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| Prediction of New Response Observations | |
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| Regression Model Diagnostics | |
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| Testing for Lack of Fit | |
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| Problems | |
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| Response Surface Methods and Designs. | |
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| The Method of Steepest Ascent | |
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| Analysis of a Second-Order Response Surface | |
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| Experimental Designs for Fitting Response Surfaces | |
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| Experiments with Computer Models | |
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| Mixture Experiments | |
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| Evolutionary Operation | |
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| Problems | |
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| Robust Parameter Design and Process Robustness Studies. | |
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| Introduction | |
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| Crossed Array Designs | |
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| Analysis of the Crossed Array Design | |
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| Combined Array Design and the Response Model Approach | |
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| Choice of Designs | |
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| Problems | |
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| Experiments with Random Factors. | |
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| The Random Effects Model | |
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| The Two-Factor Factorial with Random Factors | |
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| The Two-Factor Mixed Model | |
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| Sample Size Determination with Random Effects | |
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| Rules for Expected Mean Squares | |
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| Approximate F Tests | |
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| Some Additional Topics on Estimation of Variance Components | |
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| Problems | |
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| Nested and Split-Plot Designs. | |
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| The Two-Stage Nested Design | |
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| The General m-Stage Nested Design | |
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| Designs with Both Nested and Factorial Factors | |
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| The Split-Plot Design | |
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| Other Variations of the Split-Plot Design | |
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| Problems | |
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| Other Design and Analysis Topics. | |
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| Nonnormal Responses and Transformations | |
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| Unbalanced Data in a Factorial Design | |
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| The Analysis of Covariance | |
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| Repeated Measures | |
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| Problems | |
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| Appendix | |
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| Cumulative Standard Normal Distribution | |
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| Percentage Points of the t Distribution | |
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| Percentage Points of the X<sup>2</sup> Distribution | |
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| Percentage Points of the F Distribution | |
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| Operating Characteristic Curves for the Fixed Effects Model Analysis of Variance | |
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| Operating Characteristic Curves for the Random Effects Model Analysis of Variance | |
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| Percentage Points of the Studentized Range Statistic | |
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| Critical Values for Dunnett�s Test for Comparing Treatments with a Control | |
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| Coefficients of Orthogonal Polynomials | |
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| Alias Relationships for 2<sup>k�p</sup> Fractional Factorial Designs with k <u><</u></u>15 and n <u><</u></u>64 | |
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| Bibliography. | |
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| Index. | |