Page 13 - Applied Statistics And Probability For Engineers

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CONTENTS xiii

13-2.4 More About Multiple 14-8 Blocking and Confounding in the 2 k
Comparisons (CD Only) 481 Design 543
13-2.5 Residual Analysis and Model 14-9 Fractional Replication of the 2 k
Checking 481 Design 549
13-2.6 Determining Sample Size 482 14-9.1 One Half Fraction of the
13-2.7 Technical Details about the 2 Design 549
k
Analysis of Variance 14-9.2 Smaller Fractions: The 2 k p
(CD Only) 485 Fractional Factorial 555
13-3 The Random Effects Model 487 14-10 Response Surface Methods and
13-3.1 Fixed Versus Random Designs (CD Only) 564
Factors 487
13-3.2 ANOVA and Variance CHAPTER 15 Nonparametric
Components 487 Statistics 571
13-3.3 Determining Sample Size in
the Random Model 15-1 Introduction 572
(CD Only) 490 15-2 Sign Test 572
13-4 Randomized Complete Block 15-2.1 Description of the Test 572
Design 491 15-2.2 Sign Test for Paired Samples 576
13-4.1 Design and Statistical 15-2.3 Type II Error for the Sign
Analysis 491 Test 578
13-4.2 Multiple Comparisons 497 15-2.4 Comparison to the t-Test 579
13-4.3 Residual Analysis and Model 15-3 Wilcoxon Signed-Rank Test 581
Checking 498 15-3.1 Description of the Test 581
13-4.4 Randomized Complete Block 15-3.2 Large-Sample
Design with Random Factors Approximation 583
(CD Only) 498 15-3.3 Paired Observations 583
15-3.4 Comparison to the t-Test 584
CHAPTER 14 Design of 15-4 Wilcoxon Rank-Sum Test 585
Experiments with Several 15-4.1 Description of the Test 585
Factors 505 15-4.2 Large-Sample
Approximation 587
14-1 Introduction 506 15-4.3 Comparison to the t-Test 588
14-2 Some Applications of Designed 15-5 Nonparametric Methods in the
Experiments (CD Only) 506 Analysis of Variance 589
14-3 Factorial Experiments 506 15-5.1 Kruskal-Wallis Test 589
14-4 Two-Factor Factorial 15-5.2 Rank Transformation 591
Experiments 510
14-4.1 Statistical Analysis of the Fixed- CHAPTER 16 Statistical Quality
Effects Model 511 Control 595
14-4.2 Model Adequacy Checking 517
14-4.3 One Observation Per Cell 517 16-1 Quality Improvement and
14-4.4 Factorial Experiments with Statistics 596
Random Factors: Overview 518 16-2 Statistical Quality Control 597
14-5 General Factorial Experiments 520 16-3 Statistical Process Control 597
14-6 Factorial Experiments with Random 16-4 Introduction to Control Charts 598
Factors (CD Only) 523 16-4.1 Basic Principles 598
k
14-7 2 Factorial Designs 523 16-4.2 Design of a Control Chart 602
2
14-7.1 2 Design 524 16-4.3 Rational Subgroups 603
k
14-7.2 2 Design for k 3 Factors 529 16-4.4 Analysis of Patterns on Control
14-7.3 Single Replicate of the 2 k Charts 604
Design 537 16-5 X and R or S Control Chart 607
14-7.4 Addition of Center Points to a 2 k 16-6 Control Charts for Individual
Design (CD Only) 541 Measurements 615