Planning, construction, and statistical analysis of comparative experiments:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Hoboken, N.J.
Wiley-Interscience
2004
|
| Schriftenreihe: | Wiley series in probability and statistics
|
| Schlagworte: | |
| Online-Zugang: | Contributor biographical information Publisher description Table of contents Inhaltsverzeichnis |
| Beschreibung: | Includes bibliographical references (p. 661-675) and index |
| Beschreibung: | XIV, 693 S. graph. Darst. 25 cm |
| ISBN: | 0471213950 |
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Datensatz im Suchindex
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| adam_text | PLANNING, CONSTRUCTION, AND STATISTICAL ANALYSIS OF COMPARATIVE
EXPERIMENTS FRANCIS G. GIESBRECHT MARCIA L. GUMPERTZ WILEY-
INTERSCIENCE A JOHN WILEY & SONS, INC., PUBLICATION CONTENTS PREFACE
XIII 1. INTRODUCTION 1 1.1 ROLE OF STATISTICS IN EXPERIMENT DESIGN 1 1.2
ORGANIZATION OF THIS BOOK 3 1.3 REPRESENTATIVENESS AND EXPERIMENTAL
UNITS 4 1.4 REPLICATION AND HANDLING UNEXPLAINED VARIABILITY 7 1.5
RANDOMIZATION: WHY AND HOW 8 1.6 ETHICAL CONSIDERATIONS 10 REVIEW
EXERCISES 12 2. COMPLETELY RANDOMIZED DESIGN 13 2.1 INTRODUCTION 13 2.2
COMPLETELY RANDOMIZED DESIGN 13 2.3 ASSUMPTION OF ADDITIVITY 15 2.4
FACTORIAL TREATMENT COMBINATIONS 18 2.5 NESTED FACTORS 23 REVIEW
EXERCISES 26 3. LINEAR MODELS FOR DESIGNED EXPERIMENTS 28 3.1
INTRODUCTION 28 3.2 LINEAR MODEL 29 3.3 PRINCIPLE OF LEAST SQUARES 30
3.4 PARAMETERIZATIONS FOR ROW-COLUMN MODELS 37 REVIEW EXERCISES 41
APPENDIX **: LINEAR COMBINATIONS OF RANDOM VARIABLES 43 APPENDIX 3B:
SIMULATING RANDOM SAMPLES 44 CONTENTS TESTING HYPOTHESES AND DETERMINING
SAMPLE SIZE 45 4.1 INTRODUCTION 45 4.2 TESTING HYPOTHESES IN LINEAR
MODELS WITH NORMALLY DISTRIBUTED ERRORS 46 4.3 KRUSKAL-WALLIS TEST 53
4.4 RANDOMIZATION TESTS 54 4.5 POWER AND SAMPLE SIZE 58 4.6 SAMPLE SIZE
FOR BINOMIAL PROPORTIONS 68 4.7 CONFIDENCE INTERVAL WIDTH AND SAMPLE
SIZE 72 4.8 ALTERNATIVE ANALYSIS: SELECTING AND SCREENING 74 REVIEW
EXERCISES 78 METHODS OF REDUCING UNEXPLAINED VARIATION 81 5.1 RANDOMIZED
COMPLETE BLOCK DESIGN 81 5.2 BLOCKING 81 5.3 FORMAL STATISTICAL ANALYSIS
FOR THE RCBD 87 5.4 MODELS AND ASSUMPTIONS: DETAILED EXAMINATION 92 5.5
STATISTICAL ANALYSIS WHEN DATA ARE MISSING IN AN RCBD 101 5.6 ANALYSIS
OF COVARIANCE 109 REVIEW EXERCISES 112 APPENDIX 5A: INTERACTION OF A
RANDOM BLOCK EFFECT AND A FIXED TREATMENT EFFECT 116 LATIN SQUARES 118
6.1 INTRODUCTION 118 6.2 FORMAL STRUCTURE OF LATIN SQUARES 119 6.3
COMBINING LATIN SQUARES 126 6.4 GRAECO-LATIN SQUARES AND ORTHOGONAL
LATIN SQUARES 134 6.5 SOME SPECIAL LATIN SQUARES AND VARIATIONS ON LATIN
SQUARES 137 6.6 FREQUENCY SQUARES 140 6.7 YOUDEN SQUARE 145 REVIEW
EXERCISES 150 APPENDIX 6A: SOME STANDARD LATIN SQUARES 153 APPENDIX 6B:
MUTUALLY ORTHOGONAL LATIN SQUARES 155 APPENDIX 6C: POSSIBLE YOUDEN
SQUARES 157 SPLIT-PLOT AND RELATED DESIGNS 158 7.1 INTRODUCTION 158 7.2
BACKGROUND MATERIAL 158 CONTENTS VII 7.3 EXAMPLES OF SITUATIONS THAT
LEAD TO SPLIT-PLOTS 159 7.4 STATISTICAL ANALYSIS OF SPLIT-PLOT
EXPERIMENTS 162 7.5 SPLIT-SPLIT-PLOT EXPERIMENTS 175 7.6 STRIP-PLOT
EXPERIMENTS 176 7.7 COMMENTS ON FURTHER VARIATIONS 180 7.8 ANALYSIS OF
COVARIANCE IN SPLIT-PLOTS 181 7.9 REPEATED MEASURES 193 REVIEW EXERCISES
195 8 INCOMPLETE BLOCK DESIGNS 197 8.1 INTRODUCTION 197 8.2 EFFICIENCY
OF INCOMPLETE BLOCK DESIGNS 207 8.3 DISTRIBUTION-FREE ANALYSIS FOR
INCOMPLETE BLOCK DESIGNS 209 8.4 BALANCED INCOMPLETE BLOCK DESIGNS 212
8.5 LATTICE DESIGNS 223 8.6 CYCLIC DESIGNS 225 8.7 -DESIGNS 229 8.8
OTHER INCOMPLETE BLOCK DESIGNS 231 REVIEW EXERCISES 232 APPENDIX 8A:
CATALOG OF INCOMPLETE BLOCK DESIGNS 235 9 REPEATED TREATMENTS DESIGNS
242 9.1 INTRODUCTION 242 9.2 REPEATED TREATMENTS DESIGN MODEL 242 9.3
CONSTRUCTION OF REPEATED TREATMENTS DESIGNS 245 9.4 STATISTICAL ANALYSIS
OF REPEATED TREATMENTS DESIGN DATA 255 9.5 CARRYOVER DESIGN FOR TWO
TREATMENTS 260 9.6 CORRELATED ERRORS 265 9.7 DESIGNS FOR MORE COMPLEX
MODELS 267 REVIEW EXERCISES 270 10 FACTORIAL EXPERIMENTS: THE 2 N SYSTEM
272 10.1 INTRODUCTION 272 10.2 2 N FACTORIALS 272 10.3 GENERAL NOTATION
FOR THE 2 N SYSTEM 280 10.4 ANALYSIS OF VARIANCE FOR 2 N FACTORIALS 284
11 FACTORIAL EXPERIMENTS: THE 3^ SYSTEM 288 11.1 INTRODUCTION 288
CONTENTS 11.2 3 X 3 FACTORIAL 288 11.3 GENERAL SYSTEM OF NOTATION FOR
THE 3^ SYSTEM 295 ANALYSIS OF EXPERIMENTS WITHOUT DESIGNED ERROR TERMS
299 12.1 INTRODUCTION 299 12.2 TECHNIQUES THAT LOOK FOR LOCATION
PARAMETERS 300 12.3 ANALYSIS FOR DISPERSION EFFECTS 304 REVIEW EXERCISES
308 CONFOUNDING EFFECTS WITH BLOCKS 310 13.1 INTRODUCTION 310 13.2
CONFOUNDING 2 3 FACTORIALS 311 13.3 GENERAL CONFOUNDING PATTERNS 319
13.4 DOUBLE CONFOUNDING 325 13.5 3^ SYSTEM 327 13.6 DETAILED NUMERICAL
EXAMPLE: 3 3 FACTORIAL IN BLOCKS OF NINE 332 13.7 CONFOUNDING SCHEMES
FOR THE 3 4 SYSTEM 337 REVIEW EXERCISES 338 FRACTIONAL FACTORIAL
EXPERIMENTS 340 14.1 INTRODUCTION 340 14.2 ORGANIZATION OF THIS CHAPTER
343 14.3 FRACTIONAL REPLICATION IN THE 2 N SYSTEM 344 14.4 RESOLUTION
351 14.5 CONSTRUCTING FRACTIONAL REPLICATES BY SUPERIMPOSING FACTORS 356
14.6 FOLDOVER TECHNIQUE 360 14.7 FRANKLIN-BAILEY ALGORITHM FOR
CONSTRUCTING FRACTIONS 361 14.8 IRREGULAR FRACTIONS OF THE 2 N SYSTEM
364 14.9 FRACTIONAL FACTORIALS WITH COMPROMISED RESOLUTION 371 14.10 A
CAUTION ABOUT MINIMUM ABERRATION 376 14.11 DIRECT ENUMERATION APPROACH
TO CONSTRUCTING PLANS 378 14.12 BLOCKING IN SMALL 2^ * PLANS 379 14.13
FRACTIONAL REPLICATION IN THE 3^ SYSTEM 383 REVIEW EXERCISES 387
APPENDIX 14A: MINIMUM ABERRATION FRACTIONS WITHOUT BLOCKING 390 APPENDIX
14B: MINIMUM ABERRATION FRACTIONS WITH BLOCKING 393 CONTENTS IX 15
RESPONSE SURFACE DESIGNS 398 15.1 INTRODUCTION 398 15.2 BASIC
FORMULATION 399 15.3 SOME BASIC DESIGNS 400 15.4 ROTATABILITY 407 15.5
STATISTICAL ANALYSES OF DATA FROM RESPONSE SURFACE DESIGNS 408 15.6
BLOCKING IN RESPONSE SURFACE DESIGNS 409 15.7 MIXTURE DESIGNS 411 15.8
OPTIMALITY CRITERIA AND PARAMETRIC MODELING 412 15.9 RESPONSE SURFACES
IN IRREGULAR REGIONS 413 15.10 SEARCHING THE OPERABILITY REGION FOR AN
OPTIMUM 416 15.11 EXAMINATION OF AN EXPERIMENTAL PROBLEM 426 REVIEW
EXERCISE 427 16 PLACKETT-BURMAN HADAMARD PLANS 429 16.1 INTRODUCTION 429
16.2 HADAMARD MATRIX 429 16.3 PLACKETT-BURMAN PLANS 430 16.4 HADAMARD
PLANS AND INTERACTIONS 436 16.5 STATISTICAL ANALYSES 439 16.6 WEIGHING
DESIGNS 442 16.7 PROJECTION PROPERTIES OF HADAMARD PLANS 445 16.8 VERY
LARGE FACTORIAL EXPERIMENTS 449 17 GENERAL P N AND NONSTANDARD
FACTORIALS 451 17.1 INTRODUCTION 451 17.2 ORGANIZATION OF THIS CHAPTER
451 17.3 P N SYSTEM WITH P PRIME 452 17.4 A N SYSTEM 456 17.5 4^ SYSTEM
USING PSEUDOFACTORS AT TWO LEVELS 469 17.6 6^ FACTORIAL SYSTEM 472 17.7
ASYMMETRICAL FACTORIALS 475 17.8 2 N X 3 M PLANS 478 18 PLANS FOR WHICH
RUN ORDER IS IMPORTANT 484 18.1 INTRODUCTION 484 18.2 PRELIMINARY
CONCEPTS 485 18.3 TREND-RESISTANT PLANS 487 X CONTENTS 18.4 GENERATING
RUN ORDERS FOR FRACTIONS 489 18.5 EXTREME NUMBER OF LEVEL CHANGES 492
18.6 TREND-FREE PLANS FROM HADAMARD MATRICES 498 18.7 EXTENSIONS TO MORE
THAN TWO LEVELS 502 18.8 SMALL ONE-AT-A-TIME PLANS 503 18.9 COMMENTS 507
19 SEQUENCES OF FRACTIONS OF FACTORIALS 508 19.1 INTRODUCTION 508 19.2
MOTIVATING EXAMPLE 510 19.3 FOLDOVER TECHNIQUES EXAMINED 511 19.4
AUGMENTING A 2 4_1 FRACTION 516 19.5 SEQUENCE STARTING FROM A
SEVEN-FACTOR MAIN EFFECT PLAN 519 19.6 AUGMENTING A ONE-EIGHTH FRACTION
OF 4 3 520 19.7 ADDING LEVELS OF A FACTOR 523 19.8 DOUBLE SEMIFOLD 528
19.9 PLANNED SEQUENCES 530 19.10 SEQUENTIAL FRACTIONS 537 20 FACTORIAL
EXPERIMENTS WITH QUANTITATIVE FACTORS: BLOCKING AND FRACTIONS 540 20.1
INTRODUCTION 540 20.2 FACTORS AT THREE LEVELS 540 20.3 FACTORS AT FOUR
LEVELS BASED ON THE 2 N SYSTEM 541 20.4 PSEUDOFACTORS AND HADAMARD PLANS
552 20.5 BOX-BEHNKEN PLANS 553 REVIEW EXERCISES 555 APPENDIX 20A:
BOX-BEHNKEN PLANS 556 21 SUPERSATURATED PLANS 559 21.1 INTRODUCTION 559
21.2 PLANS FOR SMALL EXPERIMENTS 560 21.3 SUPERSATURATED PLANS THAT
INCLUDE AN ORTHOGONAL BASE 564 21.4 MODEL-ROBUST PLANS 564 22 MULTISTAGE
EXPERIMENTS 569 22.1 INTRODUCTION 569 22.2 FACTORIAL STRUCTURES IN
SPLIT-PLOT EXPERIMENTS 570 22.3 SPLITTING ON INTERACTIONS 573 CONTENTS
XI J 22.4 FACTORIALS IN STRIP-PLOT OR STRIP-UNIT DESIGNS 578 22.5
GENERAL COMMENTS ON STRIP-UNIT EXPERIMENTS 590 22.6 SPLIT-LOT DESIGNS
590 APPENDIX 22A: FRACTIONAL FACTORIAL PLANS FOR SPLIT-PLOT DESIGNS 595
23 ORTHOGONAL ARRAYS AND RELATED STRUCTURES 598 23.1 INTRODUCTION 598
23.2 ORTHOGONAL ARRAYS AND FRACTIONAL FACTORIALS 602 23.3 OTHER
CONSTRUCTION METHODS 606 23.4 NEARLY ORTHOGONAL ARRAYS 620 23.5 LARGE
ORTHOGONAL ARRAYS 626 23.6 SUMMARY 630 24 FACTORIAL PLANS DERIVED VIA
ORTHOGONAL ARRAYS 631 24.1 INTRODUCTION 631 24.2 PRELIMINARIES 631 24.3
PRODUCT ARRAY DESIGNS 638 24.4 BLOCK CROSSED ARRAYS 641 24.5 COMPOUND
ARRAYS 644 25 EXPERIMENTS ON THE COMPUTER 652 25.1 INTRODUCTION 652 25.2
STRATIFIED AND LATIN HYPERCUBE SAMPLING 653 25.3 USING ORTHOGONAL ARRAYS
FOR COMPUTER SIMULATION STUDIES 656 25.4 DEMONSTRATION SIMULATIONS 657
REFERENCES 661 INDEX 677
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| spelling | Giesbrecht, Francis G. Verfasser aut Planning, construction, and statistical analysis of comparative experiments Francis G. Giesbrecht ; Marcia L. Gumpertz Hoboken, N.J. Wiley-Interscience 2004 XIV, 693 S. graph. Darst. 25 cm txt rdacontent n rdamedia nc rdacarrier Wiley series in probability and statistics Includes bibliographical references (p. 661-675) and index Experimenteel ontwerp gtt Plan d'expérience aExperimental design Versuchsplanung (DE-588)4078859-3 gnd rswk-swf Statistik (DE-588)4056995-0 gnd rswk-swf Experimentauswertung (DE-588)4153362-8 gnd rswk-swf Versuchsplanung (DE-588)4078859-3 s DE-604 Statistik (DE-588)4056995-0 s Experimentauswertung (DE-588)4153362-8 s b DE-604 Gumpertz, Marcia L. Verfasser aut http://www.loc.gov/catdir/bios/wiley046/2003053838.html Contributor biographical information http://www.loc.gov/catdir/description/wiley039/2003053838.html Publisher description http://www.loc.gov/catdir/toc/wiley032/2003053838.html Table of contents GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=013141776&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Giesbrecht, Francis G. Gumpertz, Marcia L. Planning, construction, and statistical analysis of comparative experiments Experimenteel ontwerp gtt Plan d'expérience aExperimental design Versuchsplanung (DE-588)4078859-3 gnd Statistik (DE-588)4056995-0 gnd Experimentauswertung (DE-588)4153362-8 gnd |
| subject_GND | (DE-588)4078859-3 (DE-588)4056995-0 (DE-588)4153362-8 |
| title | Planning, construction, and statistical analysis of comparative experiments |
| title_auth | Planning, construction, and statistical analysis of comparative experiments |
| title_exact_search | Planning, construction, and statistical analysis of comparative experiments |
| title_full | Planning, construction, and statistical analysis of comparative experiments Francis G. Giesbrecht ; Marcia L. Gumpertz |
| title_fullStr | Planning, construction, and statistical analysis of comparative experiments Francis G. Giesbrecht ; Marcia L. Gumpertz |
| title_full_unstemmed | Planning, construction, and statistical analysis of comparative experiments Francis G. Giesbrecht ; Marcia L. Gumpertz |
| title_short | Planning, construction, and statistical analysis of comparative experiments |
| title_sort | planning construction and statistical analysis of comparative experiments |
| topic | Experimenteel ontwerp gtt Plan d'expérience aExperimental design Versuchsplanung (DE-588)4078859-3 gnd Statistik (DE-588)4056995-0 gnd Experimentauswertung (DE-588)4153362-8 gnd |
| topic_facet | Experimenteel ontwerp Plan d'expérience aExperimental design Versuchsplanung Statistik Experimentauswertung |
| url | http://www.loc.gov/catdir/bios/wiley046/2003053838.html http://www.loc.gov/catdir/description/wiley039/2003053838.html http://www.loc.gov/catdir/toc/wiley032/2003053838.html http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=013141776&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT giesbrechtfrancisg planningconstructionandstatisticalanalysisofcomparativeexperiments AT gumpertzmarcial planningconstructionandstatisticalanalysisofcomparativeexperiments |