Montgomery, Douglas C.

Design and analysis of experiments / Douglas C. Montgomery, Arizona State University. - Eighth edition. - Hoboken, NJ : John Wiley & Sons, Inc., [2013] New Delhi: Wiley India Pvt. Ltd.; 2013. - xvii, 730 pages : illustrations ; 26 cm.

Includes bibliographical references (pages 719-724) and index.

Preface --
1 Introduction --
1.1 Strategy of Experimentation --
1.2 Some Typical Applications of Experimental Design --
1.3 Basic Principles --
1.4 Guidelines for Designing Experiments --
1.5 A Brief History of Statistical Design --
1.6 Summary: Using Statistical Techniques in Experimentation --
1.7 Problems --
2 Simple Comparative Experiments --
2.1 Introduction --
2.2 Basic Statistical Concepts --
2.3 Sampling and Sampling Distributions --
2.4 Inferences About the Differences in Means, Randomized Designs --
2.5 Inferences About the Differences in Means, Paired Comparison Designs --
2.6 Inferences About the Variances of Normal Distributions --
2.7 Problems --
3 Experiments with a Single Factor: The Analysis of Variance --
3.1 An Example --
3.2 The Analysis of Variance --
3.3 Analysis of the Fixed Effects Model --
3.4 Model Adequacy Checking --
3.5 Practical Interpretation of Results --
3.6 Sample Computer Output --
3.7 Determining Sample Size --
3.8 Other Examples of Single-Factor Experiments --
3.9 The Random Effects Model --
3.10 The Regression Approach to the Analysis of Variance --
3.11 Nonparametric Methods in the Analysis of Variance --
3.12 Problems --
4 Randomized Blocks, Latin Squares, and Related Designs --
4.1 The Randomized Complete Block Design --
4.2 The Latin Square Design --
4.3 The Graeco-Latin Square Design --
4.4 Balanced Incomplete Block Designs --
4.5 Problems --
5 Introduction to Factorial Designs. 5.1 Basic Definitions and Principles --
5.2 The Advantage of Factorials --
5.3 The Two-Factor Factorial Design --
5.4 The General Factorial Design --
5.5 Fitting Response Curves and Surfaces --
5.6 Blocking in a Factorial Design --
5.7 Problems --
6 The 2k Factorial Design --
6.1 Introduction --
6.2 The 22 Design --
6.3 The 23 Design --
6.4 The General 2k Design --
6.5 A Single Replicate of the 2k Design --
6.6 Additional Examples of Unreplicated 2k Design --
6.7 2k Designs are Optimal Designs --
6.8 The Addition of Center Points to the 2k Design --
6.9 Why We Work with Coded Design Variables --
6.10 Problems --
7 Blocking and Confounding in the 2k Factorial Design --
7.1 Introduction --
7.2 Blocking a Replicated 2k Factorial Design --
7.3 Confounding in the 2k Factorial Design --
7.4 Confounding the 2k Factorial Design in Two Blocks --
7.5 Another Illustration of Why Blocking Is Important --
7.6 Confounding the 2k Factorial Design in Four Blocks --
7.7 Confounding the 2k Factorial Design in 2p Blocks --
7.8 Partial Confounding --
7.9 Problems --
8 Two-Level Fractional Factorial Designs --
8.1 Introduction --
8.2 The One-Half Fraction of the 2k Design --
8.3 The One-Quarter Fraction of the 2k Design --
8.4 The General 2k_p Fractional Factorial Design --
8.5 Alias Structures in Fractional Factorials and other Designs --
8.6 Resolution III Designs --
8.7 Resolution IV and V Designs --
8.8 Supersaturated Designs --
8.9 Summary --
8.10 Problems. 9 Additional Design and Analysis Topics for Factorial and Fractional Factorial Designs --
9.1 The 3k Factorial Design --
9.2 Confounding in the 3k Factorial Design --
9.3 Fractional Replication of the 3k Factorial Design --
9.4 Factorials with Mixed Levels --
9.5 Nonregular Fractional Factorial Designs --
9.6 Constructing Factorial and Fractional Factorial Designs Using an Optimal Design Tool --
9.7 Problems --
10 Fitting Regression Models --
10.1 Introduction --
10.2 Linear Regression Models --
10.3 Estimation of the Parameters in Linear Regression Models --
10.4 Hypothesis Testing in Multiple Regression --
10.5 Confidence Intervals in Multiple Regression --
10.6 Prediction of New Response Observations --
10.7 Regression Model Diagnostics --
10.8 Testing for Lack of Fit --
10.9 Problems --
11 Response Surface Methods and Designs --
11.1 Introduction to Response Surface Methodology --
11.2 The Method of Steepest Ascent --
11.3 Analysis of a Second-Order Response Surface --
11.4 Experimental Designs for Fitting Response Surfaces --
11.5 Experiments with Computer Models --
11.6 Mixture Experiments --
11.7 Evolutionary Operation --
11.8 Problems --
12 Robust Parameter Design and Process Robustness Studies --
12.1 Introduction --
12.2 Crossed Array Designs --
12.3 Analysis of the Crossed Array Design --
12.4 Combined Array Designs and the Response Model Approach --
12.5 Choice of Designs --
12.6 Problems --
13 Experiments with Random Factors. 13.1 Random Effects Models --
13.2 The Two-Factor Factorial with Random Factors --
13.3 The Two-Factor Mixed Model --
13.4 Sample Size Determination with Random Effects --
13.5 Rules for Expected Mean Squares --
13.6 Approximate F Tests --
13.7 Some Additional Topics on Estimation of Variance Components --
13.8 Problems --
14 Nested and Split-Plot Designs --
14.1 The Two-Stage Nested Design --
14.2 The General m-Stage Nested Design --
14.3 Designs with Both Nested and Factorial Factors --
14.4 The Split-Plot Design --
14.5 Other Variations of the Split-Plot Design --
14.6 Problems --
15 Other Design and Analysis Topics. 15.1 Nonnormal Responses and Transformations --
15.2 Unbalanced Data in a Factorial Design --
15.3 The Analysis of Covariance --
15.4 Repeated Measures --
15.5 Problems --
Appendix --
Table I. Cumulative Standard Normal Distribution --
Table II. Percentage Points of the t Distribution --
Table III. Percentage Points of the _2 Distribution --
Table IV. Percentage Points of the F Distribution --
Table V. Operating Characteristic Curves for the Fixed Effects Model Analysis of Variance --
Table VI. Operating Characteristic Curves for the Random Effects Model Analysis of Variance --
Table VII. Percentage Points of the Studentized Range Statistic --
Table VIII. Critical Values for Dunnett's Test for Comparing Treatments with a Control --
Table IX. Coefficients of Orthogonal Polynomials --
Table X. Alias Relationships for 2k_p Fractional Factorial Designs with k 15 and n 64 --
Bibliography --
Index. Table of contents

"The eighth edition of Design and Analysis of Experiments continues to provide extensive and in-depth information on engineering, business, and statistics-as well as informative ways to help readers design and analyze experiments for improving the quality, efficiency and performance of working systems. Furthermore, the text maintains its comprehensive coverage by including: new examples, exercises, and problems (including in the areas of biochemistry and biotechnology); new topics and problems in the area of response surface; new topics in nested and split-plot design; and the residual maximum likelihood method is now emphasized throughout the book"--



9788126540501 9781118146927 (hbk. : acidfree paper)

2012000877


Experimental design.
TECHNOLOGY & ENGINEERING / Industrial Engineering.

QA279 / .M66 2013

519.57 / MOD 2013

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