Design of experiments statistical principles of research design and analysis

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Vorheriger Titel:Kuehl, Robert O. Statistical principles of research design and analysis
1. Verfasser: Kuehl, Robert O. (VerfasserIn)
Format: Buch
Sprache:English
Veröffentlicht: Pacific Grove [u.a.] Duxbury 2000
Ausgabe:2. ed.
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Datensatz im Suchindex

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adam_text DESIGN OF EXPERIMENTS STATISTICAL PRINCIPLES OF RESEARCH DESIGN AND ANALYSIS SECOND EDITION ROBERT O. KUEHL THE UNIVERSITY OF ARIZONA DUXBURY THOMSON LEARNING* PACIFIC GROVE * ALBANY * BELMONT * BONN * BOSTON * CINCINNATI * DETROIT * JOHANNESBURG * LONDON * MADRID MELBOURNE * MEXICO CITY * NEW YORK * PARIS * SINGAPORE * TOKYO * TORONTO * WASHINGTON CONTENTS RESEARCH DESIGN PRINCIPLES 1 - 1.1 THE LEGACY OF SIR RONALD A. FISHER 1 1.2 PLANNING FOR RESEARCH 2 1.3 EXPERIMENTS, TREATMENTS, AND EXPERIMENTAL UNITS 3 1.4 RESEARCH HYPOTHESES GENERATE TREATMENT DESIGNS 5 1.5 LOCAL CONTROL OF EXPERIMENTAL ERRORS 8 1.6 REPLICATION FOR VALID EXPERIMENTS 16 1.7 HOW MANY REPLICATIONS? 18 1.8 RANDOMIZATION FOR VALID INFERENCES 20 1.9 RELATIVE EFFICIENCY OF EXPERIMENT DESIGNS 25 1.10 FROM PRINCIPLES TO PRACTICE: A CASE STUDY 26 GETTING STARTED WITH COMPLETELY RANDOMIZED DESIGNS 37 2.1 ASSEMBLING THE RESEARCH DESIGN 37 2.2 HOW TO RANDOMIZE 39 2.3 PREPARATION OF DATA FILES FOR THE ANALYSIS 41 2.4 A STATISTICAL MODEL FOR THE EXPERIMENT 42 2.5 ESTIMATION OF THE MODEL PARAMETERS WITH LEAST SQUARES 47 2.6 SUMS OF SQUARES TO IDENTIFY IMPORTANT SOURCES OF VARIATION 50 2.7 A TREATMENT EFFECTS MODEL 53 2.8 DEGREES OF FREEDOM 54 2.9 SUMMARIES IN THE ANALYSIS OF VARIANCE TABLE 55 2.10 TESTS OF HYPOTHESES ABOUT LINEAR MODELS 5 6 2.11 SIGNIFICANCE TESTING AND TESTS OF HYPOTHESES 58 2.12 STANDARD ERRORS AND CONFIDENCE INTERVALS FOR TREATMENT MEANS 59 2.13 UNEQUAL REPLICATION OF THE TREATMENTS 60 2.14 HOW MANY REPLICATIONS FOR THE F TEST? 63 VLL VLII CONTENTS 2A.1 APPENDIX: EXPECTED VALUES 70 2A.2 APPENDIX: EXPECTED MEAN SQUARES 71 TREATMENT COMPARISONS 73 3.1 TREATMENT COMPARISONS ANSWER RESEARCH QUESTIONS 73 3.2 PLANNING COMPARISONS AMONG TREATMENTS 74 3.3 RESPONSE CURVES FOR QUANTITATIVE TREATMENT FACTORS 83 3.4 MULTIPLE COMPARISONS AFFECT ERROR RATES 91 3.5 SIMULTANEOUS STATISTICAL INFERENCE 94 3.6 MULTIPLE COMPARISONS WITH THE BEST TREATMENT 98 3.7 COMPARISON OF ALL TREATMENTS WITH A CONTROL 104 3.8 PAIRWISE COMPARISON OF ALL TREATMENTS 107 3.9 SUMMARY COMMENTS ON MULTIPLE COMPARISONS 115 3 A APPENDIX: LINEAR FUNCTIONS OF RANDOM VARIABLES 121 DIAGNOSING AGREEMENT BETWEEN THE DATA AND THE MODEL 123 4.1 VALID ANALYSIS DEPENDS ON VALID ASSUMPTIONS 123 4.2 EFFECTS OF DEPARTURES FROM ASSUMPTIONS 123 4.3 RESIDUALS ARE THE BASIS OF DIAGNOSTIC TOOLS 124 4.4 LOOKING FOR OUTLIERS WITH THE RESIDUALS 131 4.5 VARIANCE-STABILIZING TRANSFORMATIONS FOR DATA WITH ICNOWN DISTRIBUTIONS 133 4.6 POWER TRANSFORMATIONS TO STABILIZE VARIANCES 135 4.7 GENERALIZING THE LINEAR MODEL 140 4.8 MODEL EVALUATION WITH RESIDUAL-FITTED SPREAD PLOTS 141 4A APPENDIX: DATA FOR EXAMPLE 4.1 147 EXPERIMENTS TO STUDY VARIANCES 148 5.1 RANDOM EFFECTS MODELS FOR VARIANCES 148 5.2 A STATISTICAL MODEL FOR VARIANCE COMPONENTS 151 5.3 POINT ESTIMATES OF VARIANCE COMPONENTS 152 5.4 INTERVAL ESTIMATES FOR VARIANCE COMPONENTS 153 5.5 COURSES OF ACTION WITH NEGATIVE VARIANCE ESTIMATES 155 5.6 INTRACLASS CORRELATION MEASURES SIMILARITY IN A GROUP 155 5.7 UNEQUAL NUMBERS OF OBSERVATIONS IN THE GROUPS 157 5.8 HOW MANY OBSERVATIONS TO STUDY VARIANCES? 158 5.9 RANDOM SUBSAMPLES TO PROCURE DATA FOR THE EXPERIMENT 159 5.10 USING VARIANCE ESTIMATES TO ALLOCATE SAMPLING EFFORTS 163 5.11 UNEQUAL NUMBERS OF REPLICATIONS AND SUBSAMPLES 164 5A APPENDIX: COEFFICIENT CALCULATIONS FOR EXPECTED MEAN SQUARES IN TABLE 5.9 174 CONTENTS IX 6 FACTORIAL TREATMENT DESIGNS 175 6.1 EFFICIENT EXPERIMENTS WITH FACTORIAL TREATMENT DESIGNS 175 6.2 THREE TYPES OF TREATMENT FACTOR EFFECTS 177 6.3 THE STATISTICAL MODEL FOR TWO TREATMENT FACTORS 181 6.4 THE ANALYSIS FOR TWO FACTORS 183 6.5 USING RESPONSE CURVES FOR QUANTITATIVE TREATMENT FACTORS 190 6.6 THREE TREATMENT FACTORS 199 6.7 ESTIMATION OF ERROR VARIANCE WITH ONE REPLICATION 205 6.8 HOW MANY REPLICATIONS TO TEST FACTOR EFFECTS? 208 6.9 UNEQUAL REPLICATION OF TREATMENTS 208 6A APPENDIX: LEAST SQUARES FOR FACTORIAL TREATMENT DESIGNS 225 7 FACTORIAL TREATMENT DESIGNS: RANDOM AND MIXED MODELS 232 7.1 RANDOM EFFECTS FOR FACTORIAL TREATMENT DESIGNS 232 7.2 MIXED MODELS 237 7.3 NESTED FACTOR DESIGNS: A VARIATION ON THE THEME 243 7.4 NESTED AND CROSSED FACTORS DESIGNS 251 7.5 HOW MANY REPLICATIONS? 255 7.6 EXPECTED MEAN SQUARE RULES 255 8 COMPLETE BLOCK DESIGNS 263 8.1 BLOCKING TO INCREASE PRECISION 263 8.2 RANDOMIZED COMPLETE BLOCK DESIGNS USE ONE BLOCKING CRITERION 264 8.3 LATIN SQUARE DESIGNS USE TWO BLOCKING CRITERIA 275 8.4 FACTORIAL EXPERIMENTS IN COMPLETE BLOCK DESIGNS 289 8.5 MISSING DATA IN BLOCKED DESIGNS 291 8.6 EXPERIMENTS PERFORMED SEVERAL TIMES 292 8A . APPENDIX: SELECTED LATIN SQUARES 307 9 INCOMPLETE BLOCK DESIGNS: AN INTRODUCTION 310 9.1 INCOMPLETE BLOCKS OF TREATMENTS TO REDUCE BLOCK SIZE 310 9.2 BALANCED INCOMPLETE BLOCK (BIB) DESIGNS 312 9.3 HOW TO RANDOMIZE INCOMPLETE BLOCK DESIGNS 313 9.4 ANALYSIS OF BIB DESIGNS 315 9.5 ROW-COLUMN DESIGNS FOR TWO BLOCKING CRITERIA 320 9.6 REDUCE EXPERIMENT SIZE WITH PARTIALLY BALANCED (PBIB) DESIGNS 322 9.7 EFFICIENCY OF INCOMPLETE BLOCK DESIGNS 325 9A.1 APPENDIX: SELECTED.BALANCED INCOMPLETE BLOCK DESIGNS 330 9A.2 APPENDIX: SELECTED INCOMPLETE LATIN SQUARE DESIGNS 332 9A.3 APPENDIX: LEAST SQUARES ESTIMATES FOR BIB DESIGNS 336 X CONTENTS 10 INCOMPLETE BLOCK DESIGNS: RESOLVABLE AND CYCLIC DESIGNS 339 10.1 -* _ RESOLVABLE DESIGNS TO HELP MANAGE THE EXPERIMENT 339 10.2 RESOLVABLE ROW-COLUMN DESIGNS FOR TWO BLOCKING CRITERIA 342 10.3 CYCLIC DESIGNS SIMPLIFY DESIGN CONSTRUCTION 345 10.4 CHOOSING INCOMPLETE BLOCK DESIGNS 352 10A.1 APPENDIX: PLANS FOR CYCLIC DESIGNS 360 10A.2 APPENDIX: GENERATING ARRAYS FOR A DESIGNS 360 11 INCOMPLETE BLOCK DESIGNS: FACTORIAL TREATMENT DESIGNS 362 11.1 TAKING GREATER ADVANTAGE OF FACTORIAL TREATMENT DESIGNS 362 11.2 2 FACTORIALS TO EVALUATE MANY FACTORS 363 11.3 INCOMPLETE BLOCK DESIGNS FOR 2 N FACTORIALS 369 11.4 A GENERAL METHOD TO CREATE INCOMPLETE BLOCKS 378 3 11.5 INCOMPLETE BLOCK DESIGNS FOR 3 FACTORIALS 383 11.6 CONCLUDING REMARKS 387 11A APPENDIX: INCOMPLETE BLOCK DESIGN PLANS FOR 2 N FACTORIALS 390 12 FRACTIONAL FACTORIAL DESIGNS 391 12.1 REDUCE EXPERIMENT SIZE WITH FRACTIONAL TREATMENT DESIGNS 391 12.2 THE HALF FRACTION OF THE 2 FACTORIAL 393 12.3 DESIGN RESOLUTION RELATED TO ALIASES 398 12.4 ANALYSIS OF HALF REPLICATE 2 N-1 DESIGNS 399 12.5 THE QUARTER FRACTIONS OF 2 N FACTORIALS 406 12.6 CONSTRUCTION OF 2 N ~ P DESIGNS WITH RESOLUTION III AND IV 409 12.7 GENICHI TAGUCHI AND QUALITY IMPROVEMENT 413 12.8 CONCLUDING REMARKS 415 12A APPENDIX: FRACTIONAL FACTORIAL DESIGN PLANS 421 13 RESPONSE SURFACE DESIGNS 423 13.1 DESCRIBE RESPONSES WITH EQUATIONS AND GRAPHS 423 13.2 IDENTIFY IMPORTANT FACTORS WITH 2 N FACTORIALS 426 13.3 DESIGNS TO ESTIMATE SECOND-ORDER RESPONSE SURFACES 431 13.4 QUADRATIC RESPONSE SURFACE ESTIMATION 440 13.5 RESPONSE SURFACE EXPLORATION 444 13.6 DESIGNS FOR MIXTURES OF INGREDIENTS 449 13.7 ANALYSIS OF MIXTURE EXPERIMENTS 453 13 A.I APPENDIX: LEAST SQUARES ESTIMATION OF REGRESSION MODELS 463 13A.2 APPENDIX: LOCATION OF COORDINATES FOR THE STATIONARY POINT 466 13A.3 APPENDIX: CANONICAL FORM OF THE QUADRATIC EQUATION 467 CONTENTS XI 14 SPLIT-PLOT DESIGNS 469 14.1 PLOTS OF DIFFERENT SIZE IN THE SAME EXPERIMENT 469 14.2 TWO EXPERIMENTAL ERRORS FOR TWO PLOT SIZES 472 14.3 THE ANALYSIS FOR SPLIT-PLOT DESIGNS 473 14.4 STANDARD ERRORS FOR TREATMENT FACTOR MEANS 478 14.5 FEATURES OF THE SPLIT-PLOT DESIGN 480 14.6 RELATIVE EFFICIENCY OF SUBPLOT AND WHOLE-PLOT COMPARISONS 481 14.7 THE SPLIT-SPLIT-PLOT DESIGN FOR THREE TREATMENT FACTORS 483 14.8 THE SPLIT-BLOCK DESIGN 483 14.9 ADDITIONAL INFORMATION ABOUT SPLIT-PLOT DESIGNS 486 15 REPEATED MEASURES DESIGNS 492 15.1 STUDIES OF TIME TRENDS 492 15.2 RELATIONSHIPS AMONG REPEATED MEASUREMENTS 495 15.3 A TEST FOR THE HUYNH-FELDT ASSUMPTION 498 15.4 A UNIVARIATE ANALYSIS OF VARIANCE FOR REPEATED MEASURES 499 15.5 ANALYSIS WHEN UNIVARIATE ANALYSIS ASSUMPTIONS DO NOT HOLD 502 15.6 OTHER EXPERIMENTS WITH REPEATED MEASURES PROPERTIES 510 15.7 OTHER MODELS FOR CORRELATION AMONG REPEATED MEASURES 511 15A.I APPENDIX: THE MAUCHLY TEST FOR SPHERICITY 518 15A.2 APPENDIX: DEGREES OF FREEDOM ADJUSTMENTS FOR REPEATED MEASURES ANALYSIS OF VARIANCE 519 16 CROSSOVER DESIGNS 520 16.1 ADMINISTER ALL TREATMENTS TO EACH EXPERIMENTAL UNIT 520 16.2 ANALYSIS OF CROSSOVER DESIGNS 524 16.3 BALANCED DESIGNS FOR CROSSOVER STUDIES 530 16.4 CROSSOVER DESIGNS FOR TWO TREATMENTS 536 16A.I APPENDIX: CODING DATA FILES FOR CROSSOVER STUDIES 545 16A.2 APPENDIX: TREATMENT SUM OF SQUARES FOR BALANCED DESIGNS 547 17 ANALYSIS OF COVARIANCE 550 17.1 LOCAL CONTROL WITH A MEASURED COVARIATE 550 17.2 ANALYSIS OF COVARIANCE FOR COMPLETELY RANDOMIZED DESIGNS 553 17.3 THE ANALYSIS OF COVARIANCE FOR BLOCKED EXPERIMENT DESIGNS 565 17.4 PRACTICAL CONSEQUENCES OF COVARIANCE ANALYSIS 570 REFERENCES 576 APPENDIX TABLES 587 ANSWERS TO SELECTED EXERCISES 633 INDEX 661
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spellingShingle Kuehl, Robert O.
Design of experiments statistical principles of research design and analysis
Analyse numérique
Análise numérica larpcal
Estatística larpcal
Experimenteel ontwerp gtt
Planejamento e análise de experimentos larpcal
Recherche - Méthodes statistiques
Sciences - Expériences - Méthodes statistiques
Statistique
Statistische analyse gtt
Naturwissenschaft
Statistik
Numerical analysis
Research Statistical methods
Science Experiments Statistical methods
Statistics
Versuchsplanung (DE-588)4078859-3 gnd
subject_GND (DE-588)4078859-3
(DE-588)4123623-3
title Design of experiments statistical principles of research design and analysis
title_auth Design of experiments statistical principles of research design and analysis
title_exact_search Design of experiments statistical principles of research design and analysis
title_full Design of experiments statistical principles of research design and analysis Robert O. Kuehl
title_fullStr Design of experiments statistical principles of research design and analysis Robert O. Kuehl
title_full_unstemmed Design of experiments statistical principles of research design and analysis Robert O. Kuehl
title_old Kuehl, Robert O. Statistical principles of research design and analysis
title_short Design of experiments
title_sort design of experiments statistical principles of research design and analysis
title_sub statistical principles of research design and analysis
topic Analyse numérique
Análise numérica larpcal
Estatística larpcal
Experimenteel ontwerp gtt
Planejamento e análise de experimentos larpcal
Recherche - Méthodes statistiques
Sciences - Expériences - Méthodes statistiques
Statistique
Statistische analyse gtt
Naturwissenschaft
Statistik
Numerical analysis
Research Statistical methods
Science Experiments Statistical methods
Statistics
Versuchsplanung (DE-588)4078859-3 gnd
topic_facet Analyse numérique
Análise numérica
Estatística
Experimenteel ontwerp
Planejamento e análise de experimentos
Recherche - Méthodes statistiques
Sciences - Expériences - Méthodes statistiques
Statistique
Statistische analyse
Naturwissenschaft
Statistik
Numerical analysis
Research Statistical methods
Science Experiments Statistical methods
Statistics
Versuchsplanung
Lehrbuch
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