The theory of the design of experiments:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Boca Raton [u.a.]
Chapman & Hall
2000
|
| Series: | Monographs on statistics and applied probability
86 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | 323 S. graph. Darst. |
| ISBN: | 158488195X |
Staff View
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Record in the Search Index
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|---|---|
| adam_text | IMAGE 1
THE THEORY
OF THE DESIGN OF EXPERIMENTS
D.R. COX HONORARY FELLOW NUFFIELD COLLEGE OXFORD, UK AND N. REID
PROFESSOR OF STATISTICS UNIVERSITY OF TORONTO, CANADA CHAPMAN & HALL/CRC
BOCA RATON LONDON NEW YORK WASHINGTON, D.C.
IMAGE 2
CONTENTS
PREFACE 1 SOME GENERAL CONCEPTS 1
1.1 TYPES OF INVESTIGATION 1
1.2 OBSERVATIONAL STUDIES 3
1.3 SOME KEY TERMS 4
1.4 REQUIREMENTS IN DESIGN 5
1.5 INTERPLAY BETWEEN DESIGN AND ANALYSIS 6
1.6 KEY STEPS IN DESIGN 7
1.7 A SIMPLIFIED MODEL 11
1.8 A BROADER VIEW 11
1.9 BIBLIOGRAPHIE NOTES 14
1.10 FURTHER RESULTS AND EXERCISES 15
2 AVOIDANCE OF BIAS 19
2.1 GENERAL REMARKS 19
2.2 RANDOMIZATION 19
2.3 RETROSPECTIVE ADJUSTMENT FOR BIAS 29
2.4 SOME MORE ON RANDOMIZATION 32
2.5 MORE ON CAUSALITY 34
2.6 BIBLIOGRAPHIE NOTES 36
2.7 FURTHER RESULTS AND EXERCISES 37
3 CONTROL OF HAPHAZARD VARIATION 41
3.1 GENERAL REMARKS 41
3.2 PRECISION IMPROVEMENT BY BLOCKING 42
3.3 MATCHED PAIRS 43
3.4 RANDOMIZED BLOCK DESIGN 48
3.5 PARTITIONING SUMS OF SQUARES 53
3.6 RETROSPECTIVE ADJUSTMENT FOR IMPROVING PRECISION 57 3.7 SPECIAL
MODEIS OF ERROR VARIATION 61
IMAGE 3
3.8 BIBLIOGRAPHIE NOTES
3.9 FURTHER RESULTS AND EXERCISES
62 62
4 SPECIALIZED BLOCKING TECHNIQUES 65
4.1 LATIN SQUARES 65
4.2 INCOMPLETE BLOCK DESIGNS 70
4.3 CROSS-OVER DESIGNS 85
4.4 BIBLIOGRAPHIE NOTES 95
4.5 FURTHER RESULTS AND EXERCISES 95
5 FACTORIAL DESIGNS: BASIC IDEAS 99
5.1 GENERAL REMARKS 99
5.2 EXAMPLE 101
5.3 MAIN EFFECTS AND INTERACTIONS 102
5.4 EXAMPLE: CONTINUED 109
5.5 TWO LEVEL FACTORIAL SYSTEMS 110
5.6 FRACTIONAL FACTORIALS 116
5.7 EXAMPLE 120
5.8 BIBLIOGRAPHIE NOTES 122
5.9 FURTHER RESULTS AND EXERCISES 123
6 FACTORIAL DESIGNS: FURTHER TOPICS 127
6.1 GENERAL REMARKS 127
6.2 CONFOUNDING IN 2 K DESIGNS 127
6.3 OTHER FACTORIAL SYSTEMS 131
6.4 SPLIT PLOT DESIGNS 140
6.5 NONSPECIFIC FACTORS 144
6.6 DESIGNS FOR QUANTITATIVE FACTORS 149
6.7 TAGUCHI METHODS 157
6.8 CONCLUSION 160
6.9 BIBLIOGRAPHIE NOTES 162
6.10 FURTHER RESULTS AND EXERCISES 163
7 OPTIMAL DESIGN 169
7.1 GENERAL REMARKS 169
7.2 SOME SIMPLE EXAMPLES 169
7.3 SOME GENERAL THEORY 173
7.4 OTHER OPTIMALITY CRITERIA 176
7.5 ALGORITHMS FOR DESIGN CONSTRUCTION 177
7.6 NONLINEAR DESIGN 178
IMAGE 4
7.7 SPACE-FILLING DESIGNS 181
7.8 BAYESIAN DESIGN 182
7.9 OPTIMALITY OF TRADITIONAL DESIGNS 186
7.10 BIBLIOGRAPHIE NOTES 186
7.11 FURTHER RESULTS AND EXERCISES 188
8 SOME ADDITIONAL TOPICS 193
8.1 SCALE OF EFFORT 193
8.2 ADAPTIVE DESIGNS 201
8.3 SEQUENTIAL REGRESSION DESIGN 208
8.4 DESIGNS FOR ONE-DIMENSIONAL ERROR STRUCTURE 209
8.5 SPATIAL DESIGNS 215
8.6 BIBLIOGRAPHIE NOTES 219
8.7 FURTHER RESULTS AND EXERCISES 221
A STATISTICAL ANALYSIS 225
A.L INTRODUCTION 225
A.2 LINEAR MODEL 226
A.3 ANALYSIS OF VARIANCE 238
A.4 MORE GENERAL MODELS; MAXIMUM LIKELIHOOD 244
A.5 BIBLIOGRAPHIE NOTES 244
A.6 FURTHER RESULTS AND EXERCISES 245
B SOME ALGEBRA 249
B.L INTRODUCTION 249
B.2 GROUP THEORY 249
B.3 GABIS FIELDS 254
B.4 FINITE GEOMETRIES 258
B.5 DIFFERENCE SETS 260
B.6 HADAMARD MATRICES 261
B.7 ORTHOGONAL ARRAYS 262
B.8 CODING THEORY 263
B.9 BIBLIOGRAPHIE NOTES 264
B.10 FURTHER RESULTS AND EXERCISES 265
C COMPUTATIONAL ISSUES 267
C.L INTRODUCTION 267
C.2 OVERVIEW 268
C.3 RANDOMIZED BLOCK EXPERIMENT FROM CHAPTER 3 273
C.4 ANALYSIS OF BLOCK DESIGNS IN CHAPTER 4 280
IMAGE 5
C.5 EXAMPLES FROM CHAPTER 5 285
C.6 EXAMPLES FROM CHAPTER 6 292
C.7 BIBLIOGRAPHIE NOTES 297
REFERENCES 299
LIST OF TABLES 311
AUTHOR INDEX 313
INDEX 317
|
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| dewey-sort | 11.4 234 |
| dewey-tens | 000 - Computer science, information, general works |
| discipline | Allgemeines Mathematik |
| format | Book |
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| institution | BVB |
| isbn | 158488195X |
| language | English |
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| physical | 323 S. graph. Darst. |
| publishDate | 2000 |
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| publisher | Chapman & Hall |
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| series | Monographs on statistics and applied probability |
| series2 | Monographs on statistics and applied probability |
| spelling | Cox, David R. 1924-2022 Verfasser (DE-588)119013169 aut The theory of the design of experiments D. R. Cox and N. Reid Boca Raton [u.a.] Chapman & Hall 2000 323 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Monographs on statistics and applied probability 86 Experimenteel ontwerp gtt Plan d'expérience ram Experimental design Versuchsplanung (DE-588)4078859-3 gnd rswk-swf Versuchsplanung (DE-588)4078859-3 s DE-604 Reid, Nancy Sonstige oth Monographs on statistics and applied probability 86 (DE-604)BV002494005 86 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009171402&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Cox, David R. 1924-2022 The theory of the design of experiments Monographs on statistics and applied probability Experimenteel ontwerp gtt Plan d'expérience ram Experimental design Versuchsplanung (DE-588)4078859-3 gnd |
| subject_GND | (DE-588)4078859-3 |
| title | The theory of the design of experiments |
| title_auth | The theory of the design of experiments |
| title_exact_search | The theory of the design of experiments |
| title_full | The theory of the design of experiments D. R. Cox and N. Reid |
| title_fullStr | The theory of the design of experiments D. R. Cox and N. Reid |
| title_full_unstemmed | The theory of the design of experiments D. R. Cox and N. Reid |
| title_short | The theory of the design of experiments |
| title_sort | the theory of the design of experiments |
| topic | Experimenteel ontwerp gtt Plan d'expérience ram Experimental design Versuchsplanung (DE-588)4078859-3 gnd |
| topic_facet | Experimenteel ontwerp Plan d'expérience Experimental design Versuchsplanung |
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