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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>kï¿½p</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 Dunnettï¿½s Test for Comparing Treatments with a Control | |

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Coefficients of Orthogonal Polynomials | |

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Alias Relationships for 2<sup>kï¿½p</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. | |