Statistical design and analysis of experiments: with applications to engineering and science
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| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Hoboken, NJ
Wiley-Interscience
2003
|
| Edition: | 2. ed. |
| Series: | Wiley series in probability and statistics
|
| Subjects: | |
| Online Access: | Table of contents Inhaltsverzeichnis |
| Physical Description: | XIX, 728 S. Ill., graph. Darst. |
| ISBN: | 9780471372165 0471372161 |
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Record in the Search Index
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| adam_text |
Titel: Statistical design and analysis of experiments
Autor: Mason, Robert L
Jahr: 2003
Contents
Preface vii
PART I FUNDAMENTAL STATISTICAL CONCEPTS 1
1. Statistics in Engineering and Science 3
1.1. The Role of Statistics in Experimentation, 5
1.2. Populations and Samples, 9
1.3. Parameters and Statistics, 19
1.4. Mathematical and Statistical Modeling, 24
Exercises, 28
2. Fundamentals of Statistical Inference 33
2.1. Traditional Summary Statistics, 33
2.2. Statistical Inference, 39
2.3. Probability Concepts, 42
2.4. Interval Estimation, 48
2.5. Statistical Tolerance Intervals, 50
2.6. Tests of Statistical Hypotheses, 52
2.7. Sample Size and Power, 56
Appendix: Probability Calculations, 59
Exercises, 64
CONTENTS
Inferences on Means and Standard Deviations 69
3.1. Inferences on a Population or Process Mean, 72
3.1.1. Confidence Intervals, 73
3.1.2. Hypothesis Tests, 76
3.1.3. Choice of a Confidence Interval
or a Test, 78
3.1.4. Sample Size, 79
3.2. Inferences on a Population or Process Standard
Deviation, 81
3.2.1. Confidence Intervals, 82
3.2.2. Hypothesis Tests, 84
3.3. Inferences on Two Populations or Processes Using
Independent Pairs of Correlated Data Values, 86
3.4. Inferences on Two Populations or Processes Using
Data from Independent Samples, 89
3.5. Comparing Standard Deviations from Several
Populations, 96
Exercises, 99
PART II DESIGN AND ANALYSIS WITH FACTORIAL
STRUCTURE 107
4. Statistical Principles in Experimental Design 109
4.1. Experimental-Design Terminology, 110
4.2. Common Design Problems, 115
4.2.1. Masking Factor Effects, 115
4.2.2. Uncontrolled Factors, 117
4.2.3. Erroneous Principles of Efficiency, 119
4.2.4. One-Factor-at-a-Time Testing, 121
4.3. Selecting a Statistical Design, 124
4.3.1. Consideration of Objectives, 125
4.3.2. Factor Effects, 126
4.3.3. Precision and Efficiency, 127
4.3.4. Randomization, 128
4.4. Designing for Quality Improvement, 128
Exercises, 132
CONTENTS xiii
5. Factorial Experiments in Completely Randomized
Designs 140
5.1. Factorial Experiments, 141
5.2. Interactions, 146
5.3. Calculation of Factor Effects, 152
5.4. Graphical Assessment of Factor Effects, 158
Appendix: Calculation of Effects for Factors
with More than Two Levels, 160
Exercises, 163
6. Analysis of Completely Randomized Designs 170
6.1. Balanced Multifactor Experiments, 171
6.1.1. Fixed Factor Effects, 171
6.1.2. Analysis-of-Variance Models, 173
6.1.3. Analysis-of-Variance Tables, 176
6.2. Parameter Estimation, 184
6.2.1. Estimation of the Error Standard
Deviation, 184
6.2.2. Estimation of Effects Parameters, 186
6.2.3. Quantitative Factor Levels, 189
6.3. Statistical Tests, 194
6.3.1. Tests on Individual Parameters, 194
6.3.2. F-Tests for Factor Effects, 195
6.4. Multiple Comparisons, 196
6.4.1. Philosophy of Mean-Comparison
Procedures, 196
6.4.2. General Comparisons of Means, 203
6.4.3. Comparisons Based on f-Statistics, 209
6.4.4. Tukey's Significant Difference
Procedure, 212
6.5. Graphical Comparisons, 213
Exercises, 221
7. Fractional Factorial Experiments 228
7.1. Confounding of Factor Effects, 229
7.2. Design Resolution, 237
7.3. Two-Level Fractional Factorial Experiments, 239
xiv CONTENTS
7.3.1. Half Fractions, 239
7.3.2. Quarter and Smaller Fractions, 243
7.4. Three-Level Fractional Factorial Experiments, 247
7.4.1. One-Third Fractions, 248
7.4.2. Orthogonal Array Tables, 252
7.5. Combined Two- and Three-Level Fractional
Factorials, 254
7.6. Sequential Experimentation, 255
7.6.1. Screening Experiments, 256
7.6.2. Designing a Sequence of Experiments, 258
Appendix: Fractional Factorial Design Generators, 260
Exercises, 266
8. Analysis of Fractional Factorial Experiments 271
8.1. A General Approach for the Analysis of Data from
Unbalanced Experiments, 272
8.2. Analysis of Marginal Means for Data from
Unbalanced Designs, 276
8.3. Analysis of Data from Two-Level, Fractional
Factorial Experiments, 278
8.4. Analysis of Data from Three-Level, Fractional
Factorial Experiments, 287
8.5. Analysis of Fractional Factorial Experiments with
Combinations of Factors Having Two and Three
Levels, 290
8.6. Analysis of Screening Experiments, 293
Exercises, 299
PART in Design and Analysis with Random Effects 309
9. Experiments in Randomized Block Designs 311
9.1. Controlling Experimental Variability, 312
9.2. Complete Block Designs, 317
9.3. Incomplete Block Designs, 318
9.3.1. Two-Level Factorial Experiments, 318
9.3.2. Three-Level Factorial Experiments, 323
9.3.3. Balanced Incomplete Block Designs, 325
CONTENTS xv
9.4. Latin-Square and Crossover Designs, 328
9.4.1. Latin Square Designs, 328
9.4.2. Crossover Designs, 331
Appendix: Incomplete Block Design Generators, 332
Exercises, 342
10. Analysis of Designs with Random Factor Levels 347
10.1. Random Factor Effects, 348
10.2. Variance-Component Estimation, 350
10.3. Analysis of Data from Block Designs, 356
10.3.1. Complete Blocks, 356
10.3.2. Incomplete Blocks, 357
10.4. Latin-Square and Crossover Designs, 364
Appendix: Determining Expected Mean Squares, 366
Exercises, 369
11. Nested Designs 378
11.1. Crossed and Nested Factors, 379
11.2. Hierarchically Nested Designs, 381
11.3. Split-Plot Designs, 384
11.3.1. An Illustrative Example, 384
11.3.2. Classical Split-Plot Design
Construction, 386
11.4. Restricted Randomization, 391
Exercises, 395
12. Special Designs for Process Improvement 400
12.1. Assessing Quality Performance, 401
12.1.1. Gage Repeatability and Reproducibility, 401
12.1.2. Process Capability, 404
12.2. Statistical Designs for Process
Improvement, 406
12.2.1. Taguchi's Robust Product Design
Approach, 406
12.2.2. An Integrated Approach, 410
Appendix: Selected Orthogonal Arrays, 414
Exercises, 418
xvi CONTENTS
13. Analysis of Nested Designs and Designs for Process
Improvement 423
13.1. Hierarchically Nested Designs, 423
13.2. Split-Plot Designs, 428
13.3. Gage Repeatability and Reproducibility
Designs, 433
13.4. Signal-to-Noise Ratios, 436
Exercises, 440
PART IV Design and Analysis with Quantitative
Predictors and Factors 459
14. Linear Regression with One Predictor Variable 461
14.1. Uses and Misuses of Regression, 462
14.2. A Strategy for a Comprehensive Regression
Analysis, 470
14.3. Scatterplot Smoothing, 473
14.4. Least-Squares Estimation, 475
14.4.1. Intercept and Slope Estimates, 476
14.4.2. Interpreting Least-Squares Estimates, 478
14.4.3. No-Intercept Models, 480
14.4.4. Model Assumptions, 481
14.5. Inference, 481
14.5.1. Analysis-of-Variance Table, 481
14.5.2. Tests and Confidence Intervals, 484
14.5.3. No-Intercept Models, 485
14.5.4. Intervals for Responses, 485
Exercises, 487
15. Linear Regression with Several Predictor Variables 496
15.1. Least Squares Estimation, 497
15.1.1. Coefficient Estimates, 497
15.1.2. Interpreting Least-Squares Estimates, 499
15.2. Inference, 503
15.2.1. Analysis of Variance, 503
15.2.2. Lack of Fit, 505
15.2.3. Tests on Parameters, 508
15.2.4. Confidence Intervals, 510
CONTENTS xvii
15.3. Interactions Among Quantitative Predictor
Variables, 511
15.4. Polynomial Model Fits, 514
Appendix: Matrix Form of Least-Squares Estimators, 522
Exercises, 525
16. Linear Regression with Factors and Covariates
as Predictors 535
16.1. Recoding Categorical Predictors
and Factors, 536
16.1.1. Categorical Variables: Variables with Two
Values, 536
16.1.2. Categorical Variables: Variables with More
Than Two Values, 539
16.1.3. Interactions, 541
16.2. Analysis of Covariance for Completely
Randomized Designs, 542
16.3. Analysis of Covariance for Randomized
Complete Block Designs, 552
Appendix: Calculation of Adjusted Factor Averages, 556
Exercises, 558
17. Designs and Analyses for Fitting Response Surfaces 568
17.1. Uses of Response-Surface Methodology, 569
17.2. Locating an Appropriate Experimental
Region, 575
17.3. Designs for Fitting Response Surfaces, 580
17.3.1. Central Composite Design, 582
17.3.2. Box-Behnken Design, 585
17.3.3. Some Additional Designs, 586
17.4. Fitting Response-Surface Models, 588
17.4.1. Optimization, 591
17.4.2. Optimization for Robust Parameter
Product-Array Designs, 594
17.4.3. Dual Response Analysis for Quality
Improvement Designs, 597
Appendix: Box-Behnken Design Plans;
Locating Optimum Responses, 600
Exercises, 606
XVlii COST! VIS
18. Model Assessment 6'4
18.1. Outlier Detection. 614
18.1.1. Univariate Techniques. 615
18.1.2. Response-Variable Outliers. 619
18.1.3. Predictor-Variable Outliers. 626
18.2. Evaluating Model Assumptions. 630
18.2.1. Normally Distributed Errors. 630
18.2.2. Correct Variable Spccitication. 634
18.2.3. Nonstochastic Predictor Variables. 637
18.3. Model Respeciheation. 639
18.3.1. Nonlinear-Response functions. 640
18.3.2. Power Reexpressions. 642
Appendix: Calculation of Leverage Values
and Outlier Diagnostics. (47
Exercises, 651
19. Variable Selection Techniques t*$9
19.1. Comparing Fitted Models. 660
19.2. All-Possible-Subset Comparisons. 662
19.3. Stepwise Selection Methods. 665
19.3.1. Forward Selection, 666
19.3.2. Backward Elimination. 668
19.3.3. Stepwise Iteration. 670
19.4. Collinear Effects. 672
Appendix. Cryogenic-Flowmeter Data. 674
Exercises, 678
APPENDIX: Statistical Tables 689
Table of Random Numbers. 690
Standard Normal Cumulative Probabilities. 69
Student / Cumulative Probabilities. 693
Chi-Square Cumulative Probabilities. 694
F Cumulative Probabilities, 695
Factors for Determining One-sided Tolerance
Limits. 701
7. Factors for Determining Two-sided Tolerance
Limits, 702
8. Upper-Tail Critical Values for the F-Max
Test. 703
9. Orthogonal Polynomial Coefficients. 705
10. Critical Values for Outlier Test Using
Lk and Sk. 709
11. Critical Values for Outlier Test Using Ek. 711
12. Coefficients Used in the Shapiro-Wilk Test for
Normality. 713
13. Critical Values for the Shapiro-Wilk Test for
Normality. 716
14. Percentage Points of the Studentized Range, 718
INDEX 723 |
| any_adam_object | 1 |
| author | Mason, Robert L. 1946- |
| author_GND | (DE-588)1155487710 (DE-588)1155487982 (DE-588)1155488180 |
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| discipline | Allgemeine Naturwissenschaft Agrarwissenschaft Mathematik Wirtschaftswissenschaften |
| edition | 2. ed. |
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| id | DE-604.BV014560781 |
| illustrated | Illustrated |
| indexdate | 2024-07-20T07:39:06Z |
| institution | BVB |
| isbn | 9780471372165 0471372161 |
| language | English |
| lccn | 2002068951 |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009899314 |
| oclc_num | 248579031 |
| open_access_boolean | |
| owner | DE-703 DE-M49 DE-BY-TUM DE-573 DE-91G DE-BY-TUM DE-355 DE-BY-UBR |
| owner_facet | DE-703 DE-M49 DE-BY-TUM DE-573 DE-91G DE-BY-TUM DE-355 DE-BY-UBR |
| physical | XIX, 728 S. Ill., graph. Darst. |
| publishDate | 2003 |
| publishDateSearch | 2003 |
| publishDateSort | 2003 |
| publisher | Wiley-Interscience |
| record_format | marc |
| series2 | Wiley series in probability and statistics |
| spelling | Mason, Robert L. 1946- Verfasser (DE-588)1155487710 aut Statistical design and analysis of experiments with applications to engineering and science Robert L. Mason, Richard F. Gunst, James L. Hess 2. ed. Hoboken, NJ Wiley-Interscience 2003 XIX, 728 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Wiley series in probability and statistics Chemische technologie gtt Experimenteel ontwerp gtt Meetmethoden gtt Onderzoeksontwerp gtt Productieprocessen gtt Statistische analyse gtt Technische wetenschappen gtt Ingenieurwissenschaften Naturwissenschaft Engineering Statistical methods Experimental design Science Statistical methods Experimentauswertung (DE-588)4153362-8 gnd rswk-swf Datenanalyse (DE-588)4123037-1 gnd rswk-swf Versuchsplanung (DE-588)4078859-3 gnd rswk-swf Statistik (DE-588)4056995-0 gnd rswk-swf Statistik (DE-588)4056995-0 s Experimentauswertung (DE-588)4153362-8 s DE-604 Versuchsplanung (DE-588)4078859-3 s 1\p DE-604 Datenanalyse (DE-588)4123037-1 s 2\p DE-604 Gunst, Richard F. 1947- Sonstige (DE-588)1155487982 oth Hess, James L. Sonstige (DE-588)1155488180 oth http://www.loc.gov/catdir/toc/wiley031/2002068951.html Table of contents HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009899314&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Mason, Robert L. 1946- Statistical design and analysis of experiments with applications to engineering and science Chemische technologie gtt Experimenteel ontwerp gtt Meetmethoden gtt Onderzoeksontwerp gtt Productieprocessen gtt Statistische analyse gtt Technische wetenschappen gtt Ingenieurwissenschaften Naturwissenschaft Engineering Statistical methods Experimental design Science Statistical methods Experimentauswertung (DE-588)4153362-8 gnd Datenanalyse (DE-588)4123037-1 gnd Versuchsplanung (DE-588)4078859-3 gnd Statistik (DE-588)4056995-0 gnd |
| subject_GND | (DE-588)4153362-8 (DE-588)4123037-1 (DE-588)4078859-3 (DE-588)4056995-0 |
| title | Statistical design and analysis of experiments with applications to engineering and science |
| title_auth | Statistical design and analysis of experiments with applications to engineering and science |
| title_exact_search | Statistical design and analysis of experiments with applications to engineering and science |
| title_full | Statistical design and analysis of experiments with applications to engineering and science Robert L. Mason, Richard F. Gunst, James L. Hess |
| title_fullStr | Statistical design and analysis of experiments with applications to engineering and science Robert L. Mason, Richard F. Gunst, James L. Hess |
| title_full_unstemmed | Statistical design and analysis of experiments with applications to engineering and science Robert L. Mason, Richard F. Gunst, James L. Hess |
| title_short | Statistical design and analysis of experiments |
| title_sort | statistical design and analysis of experiments with applications to engineering and science |
| title_sub | with applications to engineering and science |
| topic | Chemische technologie gtt Experimenteel ontwerp gtt Meetmethoden gtt Onderzoeksontwerp gtt Productieprocessen gtt Statistische analyse gtt Technische wetenschappen gtt Ingenieurwissenschaften Naturwissenschaft Engineering Statistical methods Experimental design Science Statistical methods Experimentauswertung (DE-588)4153362-8 gnd Datenanalyse (DE-588)4123037-1 gnd Versuchsplanung (DE-588)4078859-3 gnd Statistik (DE-588)4056995-0 gnd |
| topic_facet | Chemische technologie Experimenteel ontwerp Meetmethoden Onderzoeksontwerp Productieprocessen Statistische analyse Technische wetenschappen Ingenieurwissenschaften Naturwissenschaft Engineering Statistical methods Experimental design Science Statistical methods Experimentauswertung Datenanalyse Versuchsplanung Statistik |
| url | http://www.loc.gov/catdir/toc/wiley031/2002068951.html http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009899314&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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