Design and analysis of experiments for statistical selection, screening, and multiple comparisons
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| Format: | Buch |
| Sprache: | English |
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New York u.a.
Wiley
1995
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| Schriftenreihe: | Wiley series in probability and statistics
A Wiley-interscience publication |
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| Online-Zugang: | Publisher description Table of Contents Inhaltsverzeichnis |
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| 245 | 1 | 0 | |a Design and analysis of experiments for statistical selection, screening, and multiple comparisons |c Robert E. Bechhofer ; Thomas J. Santner ; David M. Goldsman |
| 264 | 1 | |a New York u.a. |b Wiley |c 1995 | |
| 300 | |a XII, 325 S. | ||
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| 700 | 1 | |a Santner, Thomas J. |e Verfasser |4 aut | |
| 700 | 1 | |a Goldsman, David M. |e Verfasser |4 aut | |
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Datensatz im Suchindex
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| adam_text | DESIGN AND ANALYSIS OF EXPERIMENTS FOR STATISTICAL SELECTION, SCREENING,
AND MULTIPLE COMPARISONS ROBERT E. BECHHOFER SCHOOL OF OPERATIONS
RESEARCH AND INDUSTRIAL ENGINEERING CORNELL UNIVERSITY THOMAS J. SANTNER
DEPARTMENT OF STATISTICS THE OHIO STATE UNIVERSITY DAVID M. GOLDSMAN
SCHOOL OF INDUSTRIAL AND SYSTEMS ENGINEERING GEORGIA INSTITUTE OF
TECHNOLOGY A WILEY-INTERSCIENCE PUBLICATION JOHN WILEY & SONS, INC. NEW
YORK * CHICHESTER * BRISBANE * TORONTO * SINGAPORE CONTENTS PREFACE XI 1
THE RATIONALE OF SELECTION, SCREENING AND MULTIPLE COMPARISONS 1 1.1
INTRODUCTION 1 1.2 BASIC CONCEPTS OF CLASSICAL EXPERIMENTAL DESIGN 4
1.2.1 QUALITATIVE VERSUS QUANTITATIVE FACTORS 4 1.2.2 PRINCIPLES OF
EXPERIMENTAL DESIGN 5 1.3 FORMULATIONS CONSIDERED IN THIS BOOK 7 1.4
ORGANIZATION OF THE BOOK 12 2 SELECTING THE BEST TREATMENT IN A
SINGLE-FACTOR NORMAL RESPONSE EXPERIMENT USING THE INDIFFERENCE-ZONE
APPROACH 15 2.1 INTRODUCTION 15 2.2 A SINGLE-STAGE PROCEDURE FOR COMMON
KNOWN VARIANCE 18 2.2.1 THE COMPLETELY RANDOMIZED DESIGN 18 2.2.2
DESIGNS WITH BLOCKING 24 2.2.3 ROBUSTNESS OF NORMAL THEORY PROCEDURE 28
2.3 MULTI-STAGE PROCEDURES FOR COMMON KNOWN VARIANCE 31 2.3.1 A CLOSED
TWO-STAGE PROCEDURE WITH ELIMINATION 32 2.3.2 A CLOSED MULTI-STAGE
PROCEDURE WITHOUT ELIMINATION .... 35 2.3.3 A CLOSED MULTI-STAGE
PROCEDURE WITH ELIMINATION 38 2.4 COMPARISON OF COMMON KNOWN VARIANCE
PROCEDURES 41 2.5 A SINGLE-STAGE PROCEDURE FOR SELECTING THE S BEST OF T
TREATMENTS HAVING A COMMON KNOWN VARIANCE 43 2.5.1 SELECTION WITHOUT
REGARD TO ORDER 44 2.5.2 SELECTION WITH REGARD TO ORDER 46 2.6 A
SINGLE-STAGE PROCEDURE FOR UNEQUAL KNOWN VARIANCES 48 2.7 MULTI-STAGE
PROCEDURES FOR COMMON UNKNOWN VARIANCE 51 2.7.1 AN OPEN TWO-STAGE
PROCEDURE WITHOUT ELIMINATION .... 52 2.7.2 AN OPEN MULTI-STAGE
PROCEDURE WITH ELIMINATION 54 2.7.3 COMPARISON OF PROCEDURES 56 VII VIII
CONTENTS 2.8 PROCEDURES FOR UNEQUAL UNKNOWN VARIANCES 60 2.8.1 VARIANCES
BOUNDED 60 2.8.2 VARIANCES UNBOUNDED 60 2.9 CHAPTER NOTES 65 3 SELECTING
A SUBSET CONTAINING THE BEST TREATMENT IN A NORMAL RESPONSE EXPERIMENT
69 3.1 INTRODUCTION 69 3.2 SINGLE-STAGE PROCEDURES 71 3.2.1 BALANCED
EXPERIMENTS 71 3.2.2 UNBALANCED EXPERIMENTS 76 3.2.3 ROBUSTNESS OF
PROCEDURE A/G 79 3.3 EXPERIMENTS WITH BLOCKING 80 3.3.1 RANDOMIZED
COMPLETE BLOCK DESIGNS 80 3.3.2 BALANCED INCOMPLETE BLOCK DESIGNS 81
3.3.3 LATIN SQUARE DESIGNS 84 3.4 ALTERNATIVE GOALS 86 3.4.1 SELECTION
OF THE S BEST TREATMENTS 86 3.4.2 SELECTION OF S*-NEAR-BEST TREATMENTS
91 3.4.3 A BOUNDED PROCEDURE FOR 8*-NEAR-BEST TREATMENTS 94 3.5 CHAPTER
NOTES 96 4 MULTIPLE COMPARISON APPROACHES FOR NORMAL RESPONSE
EXPERIMENTS 100 4.1 INTRODUCTION 100 4.2 SIMULTANEOUS CONFIDENCE
INTERVALS FOR ORTHOGONAL CONTRASTS .... 101 4.3 SIMULTANEOUS CONFIDENCE
INTERVALS FOR ALL PAIRWISE DIFFERENCES . . 109 4.4 SIMULTANEOUS
CONFIDENCE INTERVALS FOR COMPARING ALL TREATMENTS WITH THE BEST 112 4.5
CHAPTER NOTES 114 5 PROBLEMS INVOLVING A STANDARD OR CONTROL TREATMENT
IN NORMAL RESPONSE EXPERIMENTS 116 5.1 INTRODUCTION 116 5.2 SELECTING
THE BEST TREATMENT USING THE IZ APPROACH 117 5.2.1 SELECTION INVOLVING A
STANDARD (COMMON KNOWN A 2 ) ... 118 5.2.2 SELECTION INVOLVING A
STANDARD (COMMON UNKNOWN A 2 ) . . 123 5.2.3 SELECTION INVOLVING A
CONTROL (COMMON KNOWN A 2 ) .... 125 5.3 SELECTING A SUBSET OF
TREATMENTS 126 CONTENTS IX 5.3.1 SCREENING INVOLVING A STANDARD 126
5.3.2 SCREENING INVOLVING A CONTROL TREATMENT 129 5.4 SIMULTANEOUS
CONFIDENCE INTERVALS 131 5.4.1 COMPARISON WITH A STANDARD 131 5.4.2
COMPARISON WITH A CONTROL TREATMENT 133 5.4.3 COMPARISONS WITH RESPECT
TO TWO CONTROL TREATMENTS ... 138 5.5 CHAPTER NOTES 141 6 SELECTION
PROBLEMS IN TWO-FACTOR NORMAL RESPONSE EXPERIMENTS 142 6.1 INTRODUCTION
142 6.2 INDIFFERENCE-ZONE SELECTION USING COMPLETELY RANDOMIZED DESIGNS
(COMMON KNOWN VARIANCE) 144 6.2.1 SINGLE-STAGE PROCEDURE 146 6.2.2 A
CLOSED SEQUENTIAL PROCEDURE WITHOUT ELIMINATION .... 151 6.2.3 A CLOSED
SEQUENTIAL PROCEDURE WITH ELIMINATION 152 6.2.4 COMPARISON OF THE
PERFORMANCE CHARACTERISTICS OF THE PROCEDURES 154 6.3 INDIFFERENCE-ZONE
SELECTION USING SPLIT-PLOT DESIGNS (COMMON KNOWN VARIANCE) 159 6.3.1
INTRODUCTION 159 6.3.2 IZ SELECTION WHEN (O, OR 2 ) IS KNOWN 161 6.4 IZ
SELECTION USING COMPLETELY RANDOMIZED DESIGNS (COMMON UNKNOWN VARIANCE)
163 6.5 IZ SELECTION USING SPLIT-PLOT DESIGNS (COMMON UNKNOWN VARIANCE)
166 6.6 SUBSET SELECTION USING CR DESIGNS 167 6.7 SUBSET SELECTION USING
SPLIT-PLOT DESIGNS 169 6.7.1 SUBSET SELECTION WHEN Y W IS KNOWN 170
6.7.2 SUBSET SELECTION WHEN O- AND ARE UNKNOWN 173 6.8 CHAPTER NOTES
175 7 SELECTING BEST TREATMENTS IN SINGLE-FACTOR BERNOULLI RESPONSE
EXPERIMENTS 177 7.1 INTRODUCTION 177 7.2 A SINGLE-STAGE PROCEDURE FOR
THE INDIFFERENCE-ZONE PIT] ~ PV-I] S A * 182 7.2.1 COMPLETELY UNKNOWN P-
VALUES 182 7.2.2 AN ALTERNATIVE DESIGN SPECIFICATION 184 7.3 A CLOSED
ADAPTIVE SEQUENTIAL PROCEDURE . . . 186 7.3.1 INTRODUCTION 186 X
CONTENTS 7.3.2 THE PROCEDURE 187 7.3.3 OPTIMALITY PROPERTIES OF
PROCEDURE BBK 189 7.4 OPEN SEQUENTIAL PROCEDURES FOR THE ODDS RATIO
INDIFFERENCE-ZONE . 192 7.4.1 AN OPEN SEQUENTIAL PROCEDURE WITHOUT
ELIMINATION .... 192 7.4.2 AN OPEN SEQUENTIAL PROCEDURE WITH ELIMINATION
195 7.4.3 COMPARISON OF PROCEDURES BBKS AND BP 196 7.5 A SINGLE-STAGE
SUBSET SELECTION PROCEDURE 200 7.5.1 SCREENING IN BALANCED EXPERIMENTS
201 7.5.2 SCREENING IN UNBALANCED EXPERIMENTS 209 7.5.3 AN ALTERNATIVE
DESIGN SPECIFICATION 211 7.6 CHAPTER NOTES 211 8 SELECTION PROBLEMS FOR
CATEGORICAL RESPONSE EXPERIMENTS 214 8.1 INTRODUCTION 214 8.2
INDIFFERENCE-ZONE PROCEDURES FOR MULTINOMIAL DATA 216 8.2.1 A
SINGLE-STAGE PROCEDURE 217 8.2.2 USE OF CURTAILMENT WHEN THE MAXIMUM
NUMBER OF OBSERVATIONS IS SPECIFIED 227 8.2.3 A CLOSED SEQUENTIAL
PROCEDURE 229 8.2.4 APPLICATIONS 233 8.3 SUBSET PROCEDURES FOR
MULTINOMIAL DATA 236 8.3.1 A SINGLE-STAGE PROCEDURE 236 8.3.2
CURTAILMENT OF PROCEDURE MGN 237 8.3.3 A CURTAILED SEQUENTIAL PROCEDURE
240 8.4 INDIFFERENCE-ZONE PROCEDURES FOR CROSS-CLASSIFIED DATA 241 8.5
CHAPTER NOTES 244 APPENDIX A RELATIONSHIPS AMONG CRITICAL POINTS AND
NOTATION 247 APPENDIX B TABLES 253 APPENDIX C FORTRAN PROGRAMS 277
REFERENCES 303 AUTHOR INDEX 319 SUBJECT INDEX 323
|
| any_adam_object | 1 |
| author | Bechhofer, Robert E. 1919-1996 Santner, Thomas J. Goldsman, David M. |
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| dewey-full | 519.5/38 519.5/3820 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 519 - Probabilities and applied mathematics |
| dewey-raw | 519.5/38 519.5/38 20 |
| dewey-search | 519.5/38 519.5/38 20 |
| dewey-sort | 3519.5 238 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| illustrated | Not Illustrated |
| indexdate | 2024-12-23T14:28:03Z |
| institution | BVB |
| isbn | 0471574279 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007567534 |
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| physical | XII, 325 S. |
| publishDate | 1995 |
| publishDateSearch | 1995 |
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| publisher | Wiley |
| record_format | marc |
| series2 | Wiley series in probability and statistics A Wiley-interscience publication |
| spellingShingle | Bechhofer, Robert E. 1919-1996 Santner, Thomas J. Goldsman, David M. Design and analysis of experiments for statistical selection, screening, and multiple comparisons Analise multivariada larpcal Experimental design Analysis of variance Experimentauswertung (DE-588)4153362-8 gnd Versuchsplanung (DE-588)4078859-3 gnd |
| subject_GND | (DE-588)4153362-8 (DE-588)4078859-3 |
| title | Design and analysis of experiments for statistical selection, screening, and multiple comparisons |
| title_auth | Design and analysis of experiments for statistical selection, screening, and multiple comparisons |
| title_exact_search | Design and analysis of experiments for statistical selection, screening, and multiple comparisons |
| title_full | Design and analysis of experiments for statistical selection, screening, and multiple comparisons Robert E. Bechhofer ; Thomas J. Santner ; David M. Goldsman |
| title_fullStr | Design and analysis of experiments for statistical selection, screening, and multiple comparisons Robert E. Bechhofer ; Thomas J. Santner ; David M. Goldsman |
| title_full_unstemmed | Design and analysis of experiments for statistical selection, screening, and multiple comparisons Robert E. Bechhofer ; Thomas J. Santner ; David M. Goldsman |
| title_short | Design and analysis of experiments for statistical selection, screening, and multiple comparisons |
| title_sort | design and analysis of experiments for statistical selection screening and multiple comparisons |
| topic | Analise multivariada larpcal Experimental design Analysis of variance Experimentauswertung (DE-588)4153362-8 gnd Versuchsplanung (DE-588)4078859-3 gnd |
| topic_facet | Analise multivariada Experimental design Analysis of variance Experimentauswertung Versuchsplanung |
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