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Douglas C. Montgomery

Design and Analysis of Experiments

€ 59.95

  • The eigth edition of this best selling text includes design and analyse experiments for improving the quality and efficiency of working systems.  
  • This new editon maintains its comprehensive coverage by including new examples, exercises, and problems.


    Taal / Language : English

    Inhoudsopgave:
    Preface v

    1 Introduction 1

    1.1 Strategy of Experimentation 1

    1.2 Some Typical Applications of Experimental Design 8

    1.3 Basic Principles 11

    1.4 Guidelines for Designing Experiments 14

    1.5 A Brief History of Statistical Design 21

    1.6 Summary: Using Statistical Techniques in Experimentation 22

    1.7 Problems 23

    2 Simple Comparative Experiments 25

    2.1 Introduction 25

    2.2 Basic Statistical Concepts 27

    2.3 Sampling and Sampling Distributions 30

    2.4 Inferences About the Differences in Means, Randomized Designs 36

    2.5 Inferences About the Differences in Means, Paired Comparison Designs 53

    2.6 Inferences About the Variances of Normal Distributions 57

    2.7 Problems 59

    3 Experiments with a Single Factor: The Analysis of Variance 65

    3.1 An Example 66

    3.2 The Analysis of Variance 68

    3.3 Analysis of the Fixed Effects Model 70

    3.4 Model Adequacy Checking 80

    3.5 Practical Interpretation of Results 89

    3.6 Sample Computer Output 102

    3.7 Determining Sample Size 105

    3.8 Other Examples of Single-Factor Experiments 110

    3.9 The Random Effects Model 116

    3.10 The Regression Approach to the Analysis of Variance 125

    3.11 Nonparametric Methods in the Analysis of Variance 128

    3.12 Problems 130

    4 Randomized Blocks, Latin Squares, and Related Designs 139

    4.1 The Randomized Complete Block Design 139

    4.2 The Latin Square Design 158

    4.3 The Graeco-Latin Square Design 165

    4.4 Balanced Incomplete Block Designs 168

    4.5 Problems 177

    5 Introduction to Factorial Designs 183

    5.1 Basic Definitions and Principles 183

    5.2 The Advantage of Factorials 186

    5.3 The Two-Factor Factorial Design 187

    5.4 The General Factorial Design 206

    5.5 Fitting Response Curves and Surfaces 211

    5.6 Blocking in a Factorial Design 219

    5.7 Problems 225

    6 The 2k Factorial Design 233

    6.1 Introduction 233

    6.2 The 22 Design 234

    6.3 The 23 Design 241

    6.4 The General 2k Design 253

    6.5 A Single Replicate of the 2k Design 255

    6.6 Additional Examples of Unreplicated 2k Design 269

    6.7 2k Designs are Optimal Designs 280

    6.8 The Addition of Center Points to the 2k Design 285

    6.9 Why We Work with Coded Design Variables 290

    6.10 Problems 292

    7 Blocking and Confounding in the 2k Factorial Design 304

    7.1 Introduction 304

    7.2 Blocking a Replicated 2k Factorial Design 305

    7.3 Confounding in the 2k Factorial Design 306

    7.4 Confounding the 2k Factorial Design in Two Blocks 306

    7.5 Another Illustration of Why Blocking Is Important 312

    7.6 Confounding the 2k Factorial Design in Four Blocks 313

    7.7 Confounding the 2k Factorial Design in 2p Blocks 315

    7.8 Partial Confounding 316

    7.9 Problems 319

    8 Two-Level Fractional Factorial Designs 320

    8.1 Introduction 320

    8.2 The One-Half Fraction of the 2k Design 321

    8.3 The One-Quarter Fraction of the 2k Design 333

    8.4 The General 2k-p Fractional Factorial Design 340

    8.5 Alias Structures in Fractional Factorials and other Designs 349

    8.6 Resolution III Designs 351

    8.7 Resolution IV and V Designs 366

    8.8 Supersaturated Designs 374

    8.9 Summary 375

    8.10 Problems 376

    9 Additional Design and Analysis Topics for Factorial and Fractional Factorial Designs 394

    9.1 The 3k Factorial Design 395

    9.2 Confounding in the 3k Factorial Design 402

    9.3 Fractional Replication of the 3k Factorial Design 408

    9.4 Factorials with Mixed Levels 412

    9.5 Nonregular Fractional Factorial Designs 415

    9.6 Constructing Factorial and Fractional Factorial Designs Using an Optimal Design Tool 431

    9.7 Problems 444

    10 Fitting Regression Models 449

    10.1 Introduction 449

    10.2 Linear Regression Models 450

    10.3 Estimation of the Parameters in Linear Regression Models 451

    10.4 Hypothesis Testing in Multiple Regression 462

    10.5 Confidence Intervals in Multiple Regression 467

    10.6 Prediction of New Response Observations 468

    10.7 Regression Model Diagnostics 470

    10.8 Testing for Lack of Fit 473

    10.9 Problems 475

    11 Response Surface Methods and Designs 478

    11.1 Introduction to Response Surface Methodology 478

    11.2 The Method of Steepest Ascent 480

    11.3 Analysis of a Second-Order Response Surface 486

    11.4 Experimental Designs for Fitting Response Surfaces 500

    11.5 Experiments with Computer Models 523

    11.6 Mixture Experiments 530

    11.7 Evolutionary Operation 540

    11.8 Problems 544

    12 Robust Parameter Design and Process Robustness Studies 554

    12.1 Introduction 554

    12.2 Crossed Array Designs 556

    12.3 Analysis of the Crossed Array Design 558

    12.4 Combined Array Designs and the Response Model Approach 561

    12.5 Choice of Designs 567

    12.6 Problems 570

    13 Experiments with Random Factors 573

    13.1 Random Effects Models 573

    13.2 The Two-Factor Factorial with Random Factors 574

    13.3 The Two-Factor Mixed Model 581

    13.4 Sample Size Determination with Random Effects 587

    13.5 Rules for Expected Mean Squares 588

    13.6 Approximate F Tests 592

    13.7 Some Additional Topics on Estimation of Variance Components 596

    13.8 Problems 601

    14 Nested and Split-Plot Designs 604

    14.1 The Two-Stage Nested Design 604

    14.2 The General m-Stage Nested Design 614

    14.3 Designs with Both Nested and Factorial Factors 616

    14.4 The Split-Plot Design 621

    14.5 Other Variations of the Split-Plot Design 627

    14.6 Problems 637

    15 Other Design and Analysis Topics 642

    15.1 Nonnormal Responses and Transformations 643

    15.2 Unbalanced Data in a Factorial Design 652

    15.3 The Analysis of Covariance 655

    15.4 Repeated Measures 675

    15.5 Problems 677

    Appendix 681

    Table I. Cumulative Standard Normal Distribution 682

    Table II. Percentage Points of the t Distribution 684

    Table III. Percentage Points of the -2 Distribution 685

    Table IV. Percentage Points of the F Distribution 686

    Table V. Operating Characteristic Curves for the Fixed Effects Model Analysis of Variance 691

    Table VI. Operating Characteristic Curves for the Random Effects Model Analysis of Variance 695

    Table VII. Percentage Points of the Studentized Range Statistic 699

    Table VIII. Critical Values for Dunnett`s Test for Comparing Treatments with a Control 701

    Table IX. Coefficients of Orthogonal Polynomials 703

    Table X. Alias Relationships for 2k-p Fractional Factorial Designs with k 15 and n 64 704

    Bibliography 717

    Index 723
    Extra informatie: 
    Paperback / softback
    478 pagina's
    Januari 2012
    1254 gram
    249 x 201 x 25 mm
    John Wiley & Sons Inc gb

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