Introduction to the design and analysis of experiments:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
London [u.a.]
Arnold [u.a.]
1997
|
| Edition: | 1. publ. |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | VIII, 344 S. graph. Darst. |
| ISBN: | 0340645555 0470234091 |
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| 100 | 1 | |a Clarke, Geoffrey M. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Introduction to the design and analysis of experiments |c Geoffrey M. Clarke ; Robert E. Kempson |
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| 264 | 1 | |a London [u.a.] |b Arnold [u.a.] |c 1997 | |
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Record in the Search Index
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| adam_text | INTRODUCTION TO THE DESIGN AND ANALYSIS OF EXPERIMENTS GEOFFREY M.
CLARKE, MA,DIP.STATS.,C.STAT. HONORARY READER IN APPLIED STATISTICS,
UNIVERSITY OF KENT AT CANTERBURY AND CONSULTANT TO THE APPLIED
STATISTICS RESEARCH UNIT ROBERT E. KEMPSON, B.SC, M.SC, PH.D., C.STAT.
FORMERLY OF THE APPLIED STATISTICS RESEARCH UNIT, UNIVERSITY OF KENT AT
CANTERBURY AND OF WYE COLLEGE, UNIVERSITY OF LONDON SUB GDTTLNGEN 208
393 382 98 A1755 A MEMBER OF THE HODDER HEADLINE GROUP LONDON * SYDNEY *
AUCKLAND COPUBLISHED IN NORTH, CENTRAL AND SOUTH AMERICA BY JOHN WILEY &
SONS, INC., NEW YORK * TORONTO CONTENTS PREFACE VII 1 ( COLLECTING DATA
BY EXPERIMENTS 1.1 .2 .3 1.4 .5 .6 1.7 INTRODUCTION EXPERIMENTS
MEASUREMENTS OF YIELD OR RESPONSE NATURAL VARIATION IN DATA INITIAL DATA
ANALYSIS GENERAL APPLICATIONS OF EXPERIMENTATION EXERCISES 2 BASIC
STATISTICAL METHODS: THE NORMAL DISTRIBUTION 2.1 2.2 2.3 2.4 2.5 2.6 2.7
2.8 2.9 STATISTICAL INFERENCE FOR ONE SAMPLE OF NORMALLY DISTRIBUTED
DATA HYPOTHESIS TEST COMPARISON OF TWO SAMPLES OF NORMALLY DISTRIBUTED
DATA THE F-TEST FOR COMPARING TWO ESTIMATED VARIANCES CONFIDENCE
INTERVAL FOR THE DIFFERENCE BETWEEN TWO MEANS PAIRED DATA F-TEST WHEN
SAMPLES ARE NOT INDEPENDENT LINEAR FUNCTIONS OF NORMALLY DISTRIBUTED
VARIABLES LINEAR MODELS INCLUDING NORMAL RANDOM VARIATION EXERCISES 3
PRINCIPLES OF EXPERIMENTAL DESIGN 3.1 3.2 3.3 3.4 3.5 3.6 3.7 3.8 3.9 4
THE 4.1 4.2 I 1.3 INTRODUCTION * TREATMENT STRUCTURE CHANGING BACKGROUND
CONDITIONS - THE NEED FOR COMPARISON REPLICATION RANDOMIZATION BLOCKING
SOURCES OF VARIATION PLANNING THE SIZE OF AN EXPERIMENT EXERCISES
ANALYSIS OF DATA FROM ORTHOGONAL DESIGNS INTRODUCTION COMPARING,
TREATMENTS CONFIDENCE INTERVALS 1 1 1 3 4 5 7 8 9 9 10 11 14 15 15 17 18
18 20 20 20 22 22 23 26 27 29 30 32 32 38 40 IV CONTENTS 4.4 HOMOGENEITY
OF VARIANCE 40 4.5 THE RANDOMIZED COMPLETE BLOCK 42 4.6 DUNCAN S
MULTIPLE RANGE TEST 46 4.7 EXTRA REPLICATION OF IMPORTANT TREATMENTS 47
4.8 CONTRASTS AMONG TREATMENTS 47 4.9 LATIN SQUARES AND OTHER ORTHOGONAL
DESIGNS 52 4.10 GRAECO-LATIN SQUARES 58 4.11 TWO FALLACIES 61 4.12
ASSUMPTIONS IN ANALYSIS: USING RESIDUALS TO EXAMINE THEM 63 4.13
TRANSFORMATIONS 67 4.14 THEORY OF VARIANCE STABILIZATION 67 4.15 MISSING
DATA IN BLOCK DESIGNS 69 4.16 EXERCISES 71 APPENDIX 4A COCHRAN S THEOREM
ON QUADRATIC FORMS 78 5 FACTORIAL EXPERIMENTS 80 5.1 INTRODUCTION 80 5.2
NOTATION FOR FACTORS AT TWO LEVELS 82 5.3 DEFINITION OF MAIN EFFECT AND
INTERACTION 82 5.4 THREE FACTORS EACH AT TWO LEVELS 87 5.5 A SINGLE
FACTOR AT MORE THAN TWO LEVELS 90 5.6 GENERAL METHOD FOR COMPUTING
COEFFICIENTS FOR ORTHOGONAL POLYNOMIALS 96 5.7 EXERCISES 98 6
EXPERIMENTS WITH MANY FACTORS: CONFOUNDING AND FRACTIONAL REPLICATION
104 6.1 INTRODUCTION 104 6.2 THE PRINCIPAL BLOCK IN CONFOUNDING 107 6.3
SINGLE REPLICATE 109 6.4 SMALL EXPERIMENTS: PARTIAL CONFOUNDING 112 6.5
VERY LARGE EXPERIMENTS: FRACTIONAL REPLICATION 114 6.6 REPLICATES
SMALLER THAN HALF SIZE 117 6.7 CONFOUNDING WITH FRACTIONAL REPLICATION
118 6.8 CONFOUNDING THREE-LEVEL FACTORS * 121 6.9 FRACTIONAL REPLICATION
IN 3-LEVEL EXPERIMENTS - 125 6.10 EXERCISES 126 APPENDIX 6A METHODS OF
CONFOUNDING IN V FACTORIAL EXPERIMENTS 131 7 CONFOUNDING MAIN EFFECTS -
SPLIT-PLOT DESIGNS 133 7.1 INTRODUCTION 133 7.2 LINEAR MODEL AND
ANALYSIS 134 7.3 STUDYING INTERACTIONS 138 7.4 REPEATED SPLITTING 139
7.5 CONFOUNDING IN SPLIT-PLOT EXPERIMENTS 139 7.6 OTHER DESIGNS FOR MAIN
PLOTS 141 7.7 CRISS-CROSS DESIGN 141 7.8 EXERCISES 144 CONTENTS V 8
INDUSTRIAL EXPERIMENTATION 148 8.1 INTRODUCTION 148 8.2 TAGUCHI METHODS
IN STATISTICAL QUALITY CONTROL 148 8.3 LOSS FUNCTIONS 149 8.4 SOURCES
S F VARIATION 152 8.5 ORTHOGONAL ARRAYS 154 8.6 CHOICE OF DESIGN 157 9
RESPONSE SURFACES AND MIXTURE DESIGNS 166 9.1 INTRODUCTION 166 9.2 ARE
EXPERIMENTAL CONDITIONS CONSTANT ? 166 9.3 RESPONSE SURFACES 167 9.4
EXPERIMENTS WITH THREE FACTORS, X X , X 2 AND X 3 169 9.5 SECOND-ORDER
SURFACES 174 9.6 CONTOUR DIAGRAMS IN ANALYSIS 177 9.7 TRANSFORMATIONS
179 9.8 MIXTURE DESIGNS 180 9.9 OTHER TYPES OF RESPONSE SURFACE 187 9.10
EXERCISES 191 10 THE ANALYSIS OF COVARIANCE 194 10.1 INTRODUCTION 194
10.2 ANALYSIS FOR A DESIGN IN RANDOMIZED BLOCKS: GENERAL THEORY 195 10.3
INDIVIDUAL CONTRASTS 202 10.4 DUMMY COVARIATES 203 10.5 SYSTEMATIC TREND
NOT REMOVED BY BLOCKING 205 10.6 ACCIDENTS IN RECORDING 206 10.7
ASSUMPTIONS IN COVARIANCE ANALYSIS 206 10.8 MISSING VALUES 207 10.9
DOUBLE COVARIANCE 208 10.10 EXERCISES 208 11 BALANCED INCOMPLETE BLOCKS
AND GENERAL NON-ORTHOGONAL BLOCK DESIGNS 212 11.1 INTRODUCTION 212
11.2 DEFINITION AND EXISTENCE OF A BALANCED INCOMPLETE BLOCK ; ^ 212
11.3 METHODS OF CONSTRUCTION 214 11.4 LINEAR MODEL AND ANALYSIS - * 215
11.5 ROW AND COLUMN DESIGN: THE YOUDEN SQUARE 218 11.6 GENERAL BLOCK
DESIGNS 219 11.7 LINEAR MODEL AND ANALYSIS 222 11.8 GENERALIZED INVERSES
224 11.9 APPLICATION TO DESIGNS WITH SPECIAL PATTERNS 227 11.10
EXERCISES 230 APPENDIX 11A GENERALIZED INVERSE MATRIX BY SPECTRAL
DECOMPOSITION 238 APPENDIX 11B NATURAL CONTRASTS AND EFFECTIVE
REPLICATION 240 VI CONTENTS 12 MORE ADVANCED DESIGNS 241 12.1
INTRODUCTION 241 12.2 CROSSOVER DESIGNS 241 12.3 LATTICES 243 12.4 ALPHA
DESIGNS 245 12.5 PARTIALLY BALANCED INCOMPLETE BLOCKS (PBIBS) 247 13
RANDOM EFFECTS MODELS: VARIANCE COMPONENTS AND SAMPLING SCHEMES 250 13.1
INTRODUCTION 250 13.2 TWO STAGES OF SAMPLING: BETWEEN AND WITHIN UNITS
250 13.3 ASSESSING ALTERNATIVE SAMPLING SCHEMES 253 13.4 USING VARIANCE
COMPONENTS IN PLANNING WHEN SAMPLING COSTS ARE GIVEN 254 13.5 THREE
LEVELS OF VARIATION 256 13.6 COSTS IN A THREE-STAGE SCHEME 259 13.7
EXAMPLE WHERE ONE ESTIMATE IS NEGATIVE 261 13.8 EXERCISES 263 14
COMPUTER OUTPUT USING SAS 266 BIBLIOGRAPHY AND REFERENCES 332 TABLES 336
INDEX 343
|
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| discipline | Allgemeines Allgemeine Naturwissenschaft Physik |
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| isbn | 0340645555 0470234091 |
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| spelling | Clarke, Geoffrey M. Verfasser aut Introduction to the design and analysis of experiments Geoffrey M. Clarke ; Robert E. Kempson 1. publ. London [u.a.] Arnold [u.a.] 1997 VIII, 344 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Experimenteel onderzoek gtt Experimenteel ontwerp gtt Plan d'expérience Statistiek gtt Statistik Experimental design Experiment (DE-588)4015999-1 gnd rswk-swf Naturwissenschaften (DE-588)4041421-8 gnd rswk-swf Experiment (DE-588)4015999-1 s Naturwissenschaften (DE-588)4041421-8 s DE-604 Kempson, Robert E. Verfasser aut GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007483048&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Clarke, Geoffrey M. Kempson, Robert E. Introduction to the design and analysis of experiments Experimenteel onderzoek gtt Experimenteel ontwerp gtt Plan d'expérience Statistiek gtt Statistik Experimental design Experiment (DE-588)4015999-1 gnd Naturwissenschaften (DE-588)4041421-8 gnd |
| subject_GND | (DE-588)4015999-1 (DE-588)4041421-8 |
| title | Introduction to the design and analysis of experiments |
| title_auth | Introduction to the design and analysis of experiments |
| title_exact_search | Introduction to the design and analysis of experiments |
| title_full | Introduction to the design and analysis of experiments Geoffrey M. Clarke ; Robert E. Kempson |
| title_fullStr | Introduction to the design and analysis of experiments Geoffrey M. Clarke ; Robert E. Kempson |
| title_full_unstemmed | Introduction to the design and analysis of experiments Geoffrey M. Clarke ; Robert E. Kempson |
| title_short | Introduction to the design and analysis of experiments |
| title_sort | introduction to the design and analysis of experiments |
| topic | Experimenteel onderzoek gtt Experimenteel ontwerp gtt Plan d'expérience Statistiek gtt Statistik Experimental design Experiment (DE-588)4015999-1 gnd Naturwissenschaften (DE-588)4041421-8 gnd |
| topic_facet | Experimenteel onderzoek Experimenteel ontwerp Plan d'expérience Statistiek Statistik Experimental design Experiment Naturwissenschaften |
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