A. Strategy of Experimentation

B. Some Typical Applications of Experimental Design

C. Basic Principles

D. Guidelines for Designing Experiments

E. A Brief History of Statistical Design

F. Summary: Using Statistical Techniques in Experimentation

A. Introduction

B. Basic Statistical Concepts

C. Sampling and Sampling Distributions

D. Inferences About the Differences in Means, Randomized Designs

E. Inferences About the Differences in Means, Paired Comparison Designs

F. Inferences About the Variances of Normal Distributions

A. An Example

B. The Analysis of Variance

C. Analysis of the Fixed Effects Model

D. Model Adequacy Checking

E. Practical Interpretation of Results

F. Sample Computer Output

G. Determining Sample Size

H. Other Examples of Single-Factor Experiments

I. The Random Effects Model

J. Nonparametric Methods in the Analysis of Variance

A. The Randomized Complete Block Design

B. The Latin Square Design

C. The Graeco-Latin Square Design

D. Balanced Incomplete Block Designs

A. Basic Definitions and Principles

B. The Advantage of Factorials

C. The Two-Factor Factorial Design

D. The General Factorial Design

E. Fitting Response Curves and Surfaces

F. Blocking in a Factorial Design

A. Introduction

B. The 2^2 Design

C. The 2^3 Design

D. The General 2^k Design

E. A Single Replicate of the 2^k Design

F. Additional Examples of Unreplicated 2^k Designs

G. 2^k Designs are Optimal Designs

H. The Addition of Center Points to the 2^k Design

I. Why We Work with Coded Design Variables

A. Introduction

B. Blocking a Replicated 2^k Factorial Design

C. Confounding in the 2^k Factorial Design

D. Confounding the 2^k Factorial Design in Two Blocks

E. Another Illustration of Why Blocking Is Important

F. Confounding the 2^k Factorial Design in Four Blocks

G. Confounding the 2^k Factorial Design in 2^p Blocks

H. Partial Confounding

A. Introduction

B. The One-Half Fraction of the 2^k Design

C. The One-Quarter Fraction of the 2^k Design

D. The General 2^(k-p) Fractional Factorial Design

E. Alias Structures in Fractional Factorials and Other Designs

F. Resolution III Designs

G. Resolution IV and V Designs

H. Supersaturated Designs

A. The 3k Factorial Design

B. Confounding in the 3k Factorial Design

C. Fractional Replication of the 3k Factorial Design

D. Factorials with Mixed Levels

E. Nonregular Fractional Factorial Designs

F. Constructing Factorial and Fractional Factorial Designs Using an Optimal Design Tool

A. Introduction

B. Linear Regression Models

C. Estimation of the Parameters in Linear Regression Models

D. Hypothesis Testing in Multiple Regression

E. Confidence Intervals in Multiple Regression

F. Prediction of New Response Observations

G. Regression Model Diagnostics

H. Testing for Lack of Fit

A. Introduction to Response Surface Methodology

B. The Method of Steepest Ascent

C. Analysis of a Second-Order Response Surface

D. Experimental Designs for Fitting Response Surfaces

E. Experiments with Computer Models

F. Mixture Experiments

G. Evolutionary Operation

A. Introduction

B. Crossed Array Designs

C. Analysis of the Crossed Array Design

D. Combined Array Designs and the Response Model Approach

E. Choice of Designs

A. Random Effects Models

B. The Two-Factor Factorial with Random Factors

C. The Two-Factor Mixed Model

D. Rules for Expected Mean Squares

E. Approximate F-Tests

F. Some Additional Topics on Estimation of Variance Components

A. The Two-Stage Nested Design

B. The General m-Stage Nested Design

C. Designs with Both Nested and Factorial Factors

D. The Split-Plot Design

E. Other Variations of the Split-Plot Design