Design and analysis of experiments:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York u.a.
Wiley
1991
|
| Ausgabe: | 3. ed. |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XVII, 649 S. graph. Darst. |
| ISBN: | 0471520004 |
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Datensatz im Suchindex
| _version_ | 1804120882232164352 |
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| adam_text | DESIGN AND ANALYSIS OF EXPERIMENTS THIRD EDITION DOUGLAS C. MONTGOMERY
ARIZONA STATE UNIVERSITY JOHN WILEY & SONS NEW YORK CHICHESTER BRISBANE
TORONTO SINGAPORE CONTENTS CHAPTER 1. INTRODUCTION 1-1 WHAT IS
EXPERIMENTAL DESIGN? 1-2 APPLICATIONS OF EXPERIMENTAL DESIGN 1-3 BASIC
PRINCIPLES 1-4 GUIDELINES FOR DESIGNING EXPERIMENTS 1-5 HISTORICAL
PERSPECTIVE 1-6 USING STATISTICAL TECHNIQUES IN EXPERIMENTATION 1 3 8 9
12 12 CHAPTER 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 2-4 2-4
2-4 2-4 2-4 2-4 2-4 HYPOTHESIS TESTING CHOICE OF SAMPLE SIZE CONFIDENCE
INTERVALS 2-5 I 2-6 2-7 1 R U 2 THE CASE WHERE A AND A ARE KNOWN
COMPARING A SINGLE MEAN TO A SPECIFIED VALUE SUMMARY NFERENCES ABOUT THE
DIFFERENCE IN MEANS, PAIRED COMPARISON DESIGNS 2-5.1 THE PAIRED
COMPARISON PROBLEM 2-5.2 ADVANTAGES OF THE PAIRED COMPARISON DESIGN
INFERENCES ABOUT THE VARIANCES OF NORMAL DISTRIBUTIONS PROBLEMS 14 14 15
20 27 28 31 33 34 35 36 37 38 38 41 42 45 XUE CONTENTS CHAPTER 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 3-3.1 3-3.2 3-3.3 3-3.4 3-3.5 DECOMPOSITION OF THE TOTAL SUM OF
SQUARES STATISTICAL ANALYSIS ESTIMATION OF THE MODEL PARAMETERS MODEL
ADEQUACY CHECKING: PREVIEW THE UNBALANCED CASE 3-4 COMPARISON OF
INDIVIDUAL TREATMENT MEANS 3-4.1 GRAPHICAL COMPARISON OF MEANS 3-4.2
CONTRASTS 3-4.3 ORTHOGONAL CONTRASTS 3-4.4 SCHEFFE S METHOD FOR
COMPARING ALL CONTRASTS 3-4.5 COMPARING PAIRS OF TREATMENT MEANS 3-4.6
COMPARING TREATMENTS WITH A CONTROL 3-5 THE RANDOM EFFECTS MODEL 3-6
SAMPLE COMPUTER OUTPUT 3-7 PROBLEMS 50 51 53 55 55 59 63 66 67 67 67 69
70 72 73 79 81 87 87 CHAPTER 4. MORE ABOUT SINGLE-FACTOR EXPERIMENTS 95
4-1 MODEL ADEQUACY CHECKING 95 4-1.1 THE NORMALITY ASSUMPTION 96 4-1.2
PLOT OF RESIDUAIS IN TIME SEQUENCE 99 4-1.3 PLOT OF RESIDUAIS VERSUS
FITTED VALUES Y* 100 4-1.4 SELECTING A VARIANCE-STABILIZING
TRANSFORMATION 103 4-1.5 PLOTS OF RESIDUAIS VERSUS OTHER VARIABLES 108
4-1.6 DISCOVERING DISPERSION EFFECTS 109 4-2 CHOICE OF SAMPLE SIZE 110
4-2.1 OPERATING CHARACTERISTIC CURVES 110 4-2.2 SPECIFYING A STANDARD
DEVIATION INCREASE 114 4-2.3 CONFIDENCE INTERVAL ESTIMATION METHOD 115
4-3 FITTING RESPONSE CURVES IN THE SINGLE-FACTOR ONE-WAY MODEL 116 4-3.1
GENERAL REGRESSION APPROACH 116 4-3.2 ORTHOGONAL POLYNOMIALS 118 4-4 THE
REGRESSION APPROACH TO THE ANALYSIS OF VARIANCE 121 4-5 NONPARAMETRIC
METHODS IN THE ANALYSIS OF VARIANCE 126 4-5.1 THE KRUSKAL-WALLIS TEST
126 4-5.2 GENERAL COMMENTS ON THE RANK TRANSFORMATION 127 4-6 REPEATED
MEASURES 128 4-7 PROBLEMS 130 CONTENTS XUEI CHAPTER 5. RANDOMIZED BLOCKS,
LATIN SQUARES, AND RELATED DESIGNS 134 5-1 THE RANDOMIZED COMPLETE BLOCK
DESIGN 134 5-1.1 STATISTICAL ANALYSIS 135 5-1.2 MODEL ADEQUACY CHECKING
146 5-1.3 ESTIMATING MISSING VALUES 148 5-1.4 ESTIMATING MODEL
PARAMETERS AND THE GENERAL REGRESSION SIGNIFICANCE TEST 151 5-1.5 SAMPLE
COMPUTER OUTPUT 154 5-2 THE LATIN SQUARE DESIGN 156 5-3 THE GRAECO-LATIN
SQUARE DESIGN 166 5-4 PROBLEMS 169 CHAPTER 6. INCOMPLETE BLOCK DESIGNS
6-1 6-2 6-3 6-4 6-5 6-6 6-7 176 INTRODUCTION 176 BALANCED INCOMPLETE
BLOCK DESIGNS 176 6-2.1 STATISTICAL ANALYSIS 177 6-2.2 LEAST SQUARES
ESTIMATION OF THE PARAMETERS 183 RECOVERY OF INTERBLOCK INFORMATION IN
THE BALANCED INCOMPLETE BLOCK DESIGN 184 PARTIALLY BALANCED INCOMPLETE
BLOCK DESIGNS 187 YOUDEN SQUARES 190 LATTICE DESIGNS 193 PROBLEMS 194
CHAPTER 7. INTRODUCTION TO FACTORIAL DESIGNS 197 7-1 BASIC DEFINITIONS
AND PRINCIPLES 197 7-2 THE ADVANTAGE OF FACTORIALS 199 7-3 THE
TWO-FACTOR FACTORIAL DESIGN 201 7-3.1 AN EXAMPLE 201 7-3.2 STATISTICAL
ANALYSIS OF THE FIXED EFFECTS MODEL 203 7-3.3 MODEL ADEQUACY CHECKING
210 7-3.4 ESTIMATING THE MODEL PARAMETERS 213 7-3.5 CHOICE OF SAMPLE
SIZE 216 7-3.6 THE ASSUMPTION OF NO INTERACTION IN A TWO-FACTOR MODEL
217 7-3.7 ONE OBSERVATION PER CELL 218 RANDOM AND MIXED MODELS 222 7-4.1
THE RANDOM EFFECTS MODEL 222 7-4.2 MIXED MODELS 224 7-4.3 CHOICE OF
SAMPLE SIZE 228 THE GENERAL FACTORIAL DESIGN 228 FITTING RESPONSE CURVES
AND SURFACES 237 DEALING WITH UNBALANCED DATA 244 7-4 7-5 7-6 7-7 XIV
CONTENTS 7-7.1 PROPORTIONAL DATA: AN EASY CASE 7-7.2 APPROXIMATE METHODS
7-7.3 THE EXACT METHOD PROBLEMS 245 247 249 249 CHAPTER 8. RUIES FOR
SUMS OF SQUARES AND EXPECTED MEAN SQUARES 257 8-1 8-2 8-3 8-4 CHAPTER 9.
9-1 9-2 9-3 9-4 9-5 9-6 9-7 9-8 CHAPTER 10. 10-1 10-2 10-3 10-4 10-5
10-6 CHAPTER 11. 11-1 11-2 11-3 11-4 11-5 11-6 11-7 11-8 CHAPTER 12.
RUIES FOR SUMS OF SQUARES RUIES FOR EXPECTED MEAN SQUARES APPROXIMATE F
TESTS PROBLEMS THE 2 K FACTORIAL DESIGN INTRODUCTION THE 2 2 DESIGN THE
2 3 DESIGN THE GENERAL 2 K DESIGN A SINGLE REPLICATE OF THE 2 K DESIGN
THE ADDITION OF CENTER POINTS TO THE 2 K DESIGN YATES ALGORITHM FOR THE
2 K DESIGN PROBLEMS CONFOUNDING IN THE 2 K FACTORIAL INTRODUCTION THE 2
K FACTORIAL DESIGN IN TWO BLOCKS THE 2 K FACTORIAL DESIGN IN FOUR BLOCKS
THE 2 K FACTORIAL DESIGN IN 2 P BLOCKS PARTIAL CONFOUNDING PROBLEMS
TWO-LEVEL FRACTIONAL FACTORIAL DESIGNS INTRODUCTION THE ONE-HALF
FRACTION OF THE 2 K DESIGN THE ONE-QUARTER FRACTION OF THE 2 K DESIGN
THE GENERAL 2 K ~ P FRACTIONAL FACTORIAL DESIGN RESOLUTION III DESIGNS
RESOLUTION IV AND V DESIGNS SUMMARY PROBLEMS SOME OTHER TOPICS REGARDING
FACTORIAL AND 257 259 262 268 270 270 270 278 288 289 304 309 310 319
319 319 326 329 329 333 335 335 336 349 358 367 375 378 378 12-1
FRACTIONAL FACTORIAL DESIGNS THE 3^ FACTORIAL DESIGN 12-1.1 NOTATION AND
MOTIVATION FOR THE 3 K DESIGN 387 387 387 CONTENTS XV 12-2 12-3 12-4
12-5 12-6 CHAPTER 13. 13-1 13-2 12-1.2 12-1.3 12-1.4 12-1.5 THE 3 2
DESIGN THE 3 3 DESIGN THE GENERAL 3 K DESIGN YATES ALGORITHM FOR THE 3
K DESIGN 13-3 13-4 13-5 CONFOUNDING IN THE 3 K FACTORIAL DESIGN 12-2.1
THE 3 K FACTORIAL DESIGN IN THREE BLOCKS 12-2.2 THE 3 K FACTORIAL DESIGN
IN NINE BLOCKS 12-2.3 THE 3 K FACTORIAL DESIGN IN 3 P BLOCKS FRACTIONAL
REPLICATION OF THE 3 K FACTORIAL DESIGN 12-3.1 THE ONE-THIRD FRACTION OF
THE 3 K DESIGN 12-3.2 OTHER 3 K ~ P FRACTIONAL FACTORIAL DESIGNS
FACTORIALS WITH MIXED LEVELS 12-4.1 FACTORS AT TWO AND THREE LEVELS
12-4.2 FACTORS AT TWO AND FOUR LEVELS TAGUCHI S CONTRIBUTIONS TO
EXPERIMENTAL DESIGN AND QUALITY ENGINEERING 12-5.1 THE TAGUCHI
PHILOSOPHY 12-5.2 THE TAGUCHI APPROACH TO PARAMETER DESIGN PROBLEMS
NESTED OR HIERARCHIAL DESIGNS INTRODUCTION THE TWO-STAGE NESTED DESIGN
13-2.1 STATISTICAL ANALYSIS 13-2.2 DIAGNOSTIC CHECKING 13-2.3 ESTIMATION
OF THE MODEL PARAMETERS THE GENERAL M-STAGE NESTED DESIGN DESIGNS WITH
NESTED AND CROSSED FACTORS PROBLEMS 388 391 395 397 399 399 402 404 405
405 408 410 410 412 414 415 417 433 439 439 440 440 445 446 450 452 456
CHAPTER 14. MULTIFACTOR EXPERIMENTS WITH RANDOMIZATION RESTRICTIONS 461
14-1 RANDOMIZED BLOCKS AND LATIN SQUARES AS MULTIFACTOR DESIGNS 461 14-2
THE SPLIT-PLOT DESIGN 468 14-3 THE SPLIT*SPLIT-PLOT DESIGN 472 14-4
PROBLEMS 475 CHAPTER 15. REGRESSION ANALYSIS 15-1 INTRODUCTION 15-2
SIMPLE LINEAR REGRESSION 15-3 HYPOTHESIS TESTING IN SIMPLE LINEAR
REGRESSION 15-4 INTERVAL ESTIMATION IN SIMPLE LINEAR REGRESSION 15-5
MODEL ADEQUACY CHECKING 479 479 479 486 489 493 XVI CONTENTS 15-5.1
RESIDUAL ANALYSIS 15-5.2 THE LACK-OF-FIT TEST 15-5.3 THE COEFFICIENT OF
DETERMINATION 15-6 MULTIPLE LINEAR REGRESSION 15-7 HYPOTHESIS TESTING IN
MULTIPLE LINEAR REGRESSION 15-8 OTHER LINEAR REGRESSION MODELS 15-9
SAMPLE COMPUTER PRINTOUT 15-10 PROBLEMS 493 493 497 498 507 512 515 515
CHAPTER 16. RESPONSE SURFACE METHODS AND DESIGNS 16-1 16-2 16-3 16-4
16-5 16-6 16-7 521 INTRODUCTION TO RESPONSE SURFACE METHODOLOGY 521 THE
METHOD OF STEEPEST ASCENT 523 ANALYSIS OF A SECOND-ORDER MODEL 531
16-3.1 LOCATION OF THE STATIONARY POINT 531 16-3.2 CHARACTERIZING THE
RESPONSE SURFACE 532 16-3.3 RIDGE SYSTEMS 538 EXPERIMENTAL DESIGNS FOR
FITTING RESPONSE SURFACES 541 16-4.1 DESIGNS FOR FITTING THE FIRST-ORDER
MODEL 541 16-4.2 DESIGNS FOR FITTING THE SECOND-ORDER MODEL 542 16-4.3
BLOCKING IN RESPONSE SURFACE DESIGNS 548 MIXTURE EXPERIMENTS 551
EVOLUTIONARY OPERATION 558 PROBLEMS 563 CHAPTER 17. 17-1 17-2 17-3 17-4
17-5 ANALYSIS OF COVARIANCE 569 INTRODUCTION 569 A SINGLE-FACTOR DESIGN
WITH ONE COVARIATE 569 DEVELOPMENT BY THE GENERAL REGRESSION
SIGNIFICANCE TEST 581 OTHER COVARIANCE MODELS 584 PROBLEMS 587
BIBLIOGRAPHY 590 APPENDIX TABLE I. TABLE II. TABLE III. TABLE IV. TABLE
V. TABLE VI. CUMULATIVE STANDARD NORMAL DISTRIBUTION PERCENTAGE POINTS
OF THE T DISTRIBUTION PERCENTAGE POINTS OF THE X 2 DISTRIBUTION
PERCENTAGE POINTS OF THE F DISTRIBUTION OPERATING CHARACTERISTIC CURVES
FOR THE FIXED EFFECTS MODEL ANALYSIS OF VARIANCE OPERATING
CHARACTERISTIC CURVES FOR THE RANDOM EFFECTS MODEL ANALYSIS OF VARIANCE
597 598 600 601 602 607 611 CONTENTS XVUE TABLE VII. SIGNIFICANT RANGES
FOR DUNCAN S MULTIPLE RANGE TEST 615 TABLE VIII. PERCENTAGE POINTS OF
THE STUDENTIZED RANGE STATISTIC 617 TABLE IX. CRITICAL VALUES FOR
DUNNETT S TEST FOR COMPARING TREATMENTS WITH A CONTROL 619 TABLE X.
COEFFICIENTS OF ORTHOGONAL POLYNOMIALS 623 TABLE XI. RANDOM NUMBERS 624
TABLE XII. ALIAS RELATIONSHIPS FOR 2 K ~ P FRACTIONAL FACTORIAL DESIGNS
WITH K 11 AND N 64. 626 INDEX 645
|
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| author | Montgomery, Douglas C. 1943- |
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| classification_tum | MAT 620f |
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| dewey-ones | 001 - Knowledge |
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| dewey-search | 001.4/34 001.4/34 20 |
| dewey-sort | 11.4 234 |
| dewey-tens | 000 - Computer science, information, general works |
| discipline | Allgemeines Mathematik Wirtschaftswissenschaften |
| edition | 3. ed. |
| format | Book |
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| id | DE-604.BV006607310 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T16:49:09Z |
| institution | BVB |
| isbn | 0471520004 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-004220884 |
| oclc_num | 21762310 |
| open_access_boolean | |
| owner | DE-739 DE-703 DE-91 DE-BY-TUM DE-521 DE-83 DE-11 DE-188 |
| owner_facet | DE-739 DE-703 DE-91 DE-BY-TUM DE-521 DE-83 DE-11 DE-188 |
| physical | XVII, 649 S. graph. Darst. |
| publishDate | 1991 |
| publishDateSearch | 1991 |
| publishDateSort | 1991 |
| publisher | Wiley |
| record_format | marc |
| spelling | Montgomery, Douglas C. 1943- Verfasser (DE-588)12861448X aut Design and analysis of experiments Douglas C. Montgomery 3. ed. New York u.a. Wiley 1991 XVII, 649 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Data-analyse gtt Experimenteel ontwerp gtt Plan d'expérience Experimental design Statistik (DE-588)4056995-0 gnd rswk-swf Versuchsplanung (DE-588)4078859-3 gnd rswk-swf Prozessmanagement (DE-588)4353072-2 gnd rswk-swf Experiment (DE-588)4015999-1 gnd rswk-swf Experimentauswertung (DE-588)4153362-8 gnd rswk-swf Statistische Analyse (DE-588)4116599-8 gnd rswk-swf Produktinnovation (DE-588)4047346-6 gnd rswk-swf Gestaltung (DE-588)4157139-3 gnd rswk-swf Minitab (DE-588)4394834-0 gnd rswk-swf Produktinnovation (DE-588)4047346-6 s Versuchsplanung (DE-588)4078859-3 s Prozessmanagement (DE-588)4353072-2 s Minitab (DE-588)4394834-0 s 1\p DE-604 Experiment (DE-588)4015999-1 s Gestaltung (DE-588)4157139-3 s Statistische Analyse (DE-588)4116599-8 s 2\p DE-604 Statistik (DE-588)4056995-0 s Experimentauswertung (DE-588)4153362-8 s 3\p DE-604 4\p DE-604 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=004220884&sequence=000001&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 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 4\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Montgomery, Douglas C. 1943- Design and analysis of experiments Data-analyse gtt Experimenteel ontwerp gtt Plan d'expérience Experimental design Statistik (DE-588)4056995-0 gnd Versuchsplanung (DE-588)4078859-3 gnd Prozessmanagement (DE-588)4353072-2 gnd Experiment (DE-588)4015999-1 gnd Experimentauswertung (DE-588)4153362-8 gnd Statistische Analyse (DE-588)4116599-8 gnd Produktinnovation (DE-588)4047346-6 gnd Gestaltung (DE-588)4157139-3 gnd Minitab (DE-588)4394834-0 gnd |
| subject_GND | (DE-588)4056995-0 (DE-588)4078859-3 (DE-588)4353072-2 (DE-588)4015999-1 (DE-588)4153362-8 (DE-588)4116599-8 (DE-588)4047346-6 (DE-588)4157139-3 (DE-588)4394834-0 |
| title | Design and analysis of experiments |
| title_auth | Design and analysis of experiments |
| title_exact_search | Design and analysis of experiments |
| title_full | Design and analysis of experiments Douglas C. Montgomery |
| title_fullStr | Design and analysis of experiments Douglas C. Montgomery |
| title_full_unstemmed | Design and analysis of experiments Douglas C. Montgomery |
| title_short | Design and analysis of experiments |
| title_sort | design and analysis of experiments |
| topic | Data-analyse gtt Experimenteel ontwerp gtt Plan d'expérience Experimental design Statistik (DE-588)4056995-0 gnd Versuchsplanung (DE-588)4078859-3 gnd Prozessmanagement (DE-588)4353072-2 gnd Experiment (DE-588)4015999-1 gnd Experimentauswertung (DE-588)4153362-8 gnd Statistische Analyse (DE-588)4116599-8 gnd Produktinnovation (DE-588)4047346-6 gnd Gestaltung (DE-588)4157139-3 gnd Minitab (DE-588)4394834-0 gnd |
| topic_facet | Data-analyse Experimenteel ontwerp Plan d'expérience Experimental design Statistik Versuchsplanung Prozessmanagement Experiment Experimentauswertung Statistische Analyse Produktinnovation Gestaltung Minitab |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=004220884&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT montgomerydouglasc designandanalysisofexperiments |