Statistical methods for the analysis of repeated measurements:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | German |
| Published: |
New York [u.a.]
Springer
2002
|
| Series: | Springer texts in statistics
|
| Subjects: | |
| Online Access: | Table of contents Inhaltsverzeichnis |
| Physical Description: | XXIV, 415 S. graph. Darst. |
| ISBN: | 0387953701 |
Staff View
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Record in the Search Index
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| adam_text | CHARLES S. DAVIS STATISTICAL METHODS FOR THE ANALYSIS OF REPEATED
MEASUREMENTS WITH 20 ILLUSTRATIONS SPRINGER CONTENTS PREFACE V LIST OF
TABLES XV LIST OF FIGURES XXIII 1 INTRODUCTION 1 1.1 REPEATED
MEASUREMENTS 1 1.2 ADVANTAGES AND DISADVANTAGES OF REPEATED MEASUREMENTS
DESIGNS 2 1.3 NOTATION FOR REPEATED MEASUREMENTS 3 1.4 MISSING DATA 4
1.5 SAMPLE SIZE ESTIMATION 8 1.6 OUTLINE OF TOPICS . . 9 1.7 CHOOSING
THE BEST METHOD OF ANALYSIS 12 2 UNIVARIATE METHODS 15 2.1
INTRODUCTION 15 2.2 ONE SAMPLE 16 2.3 MULTIPLE SAMPLES 21 2.4 COMMENTS
26 2.5 PROBLEMS 28 X CONTENTS 3 NORMAL-THEORY METHODS: UNSTRUCTURED
MULTIVARIATE APPROACH 45 3.1 INTRODUCTION 45 3.2 MULTIVARIATE NORMAL
DISTRIBUTION THEORY 46 3.2.1 THE MULTIVARIATE NORMAL DISTRIBUTION 46
3.2.2 THE WISHART DISTRIBUTION 46 3.2.3 WISHART MATRICES 47 3.2.4
HOTELLING S T 2 STATISTIC 47 3.2.5 HYPOTHESIS TESTS 48 3.3 ONE-SAMPLE
REPEATED MEASUREMENTS 49 3.3.1 METHODOLOGY 49 3.3.2 EXAMPLES 50 3.3.3
COMMENTS 54 3.4 TWO-SAMPLE REPEATED MEASUREMENTS 55 3.4.1 METHODOLOGY 55
3.4.2 EXAMPLE 57 3.4.3 COMMENTS 60 3.5 PROBLEMS 61 4 NORMAL-THEORY
METHODS: MULTIVARIATE ANALYSIS OF VARIANCE 73 4.1 INTRODUCTION 73 4.2
THE MULTIVARIATE GENERAL LINEAR MODEL 74 4.2.1 NOTATION AND ASSUMPTIONS
74 4.2.2 PARAMETER ESTIMATION 75 4.2.3 HYPOTHESIS TESTING 76 4.2.4
COMPARISONS OF TEST STATISTICS 77 4.3 PROFILE ANALYSIS 78 4.3.1
METHODOLOGY 78 4.3.2 EXAMPLE 81 4.4 GROWTH CURVE ANALYSIS 83 4.4.1
INTRODUCTION 83 4.4.2 THE GROWTH CURVE MODEL 83 4.4.3 EXAMPLES 87 4.5
PROBLEMS 94 5 NORMAL-THEORY METHODS: REPEATED MEASURES ANOVA 103 5.1
INTRODUCTION 103 5.2 THE FUNDAMENTAL MODEL 104 5.3 ONE SAMPLE 106 5.3.1
REPEATED MEASURES ANOVA MODEL 106 5.3.2 SPHERICITY CONDITION 109 5.3.3
EXAMPLE ILL 5.4 MULTIPLE SAMPLES 112 5.4.1 REPEATED MEASURES ANOVA MODEL
112 CONTENTS XI 5.4.2 EXAMPLE 115 5.5 PROBLEMS 116 NORMAL-THEORY
METHODS: LINEAR MIXED MODELS 125 6.1 INTRODUCTION 125 6.2 THE LINEAR
MIXED MODEL 126 6.2.1 THE USUAL LINEAR MODEL 126 6.2.2 THE MIXED MODEL
126 6.2.3 PARAMETER ESTIMATION 127 6.2.4 BACKGROUND ON REML ESTIMATION
128 6.3 APPLICATION TO REPEATED MEASUREMENTS 130 6.4 EXAMPLES 134 6.4.1
TWO GROUPS, FOUR TIME POINTS, NO MISSING DATA . . 134 6.4.2 THREE
GROUPS, 24 TIME POINTS, NO MISSING DATA . . 139 6.4.3 FOUR GROUPS,
UNEQUALLY SPACED REPEATED MEASUREMENTS, TIME-DEPENDENT COVARIATE 145 6.5
COMMENTS 149 6.5.1 USE OF THE RANDOM INTERCEPT AND SLOPE MODEL . . . 149
6.5.2 EFFECTS OF CHOICE OF COVARIANCE STRUCTURE ON ESTIMATES AND TESTS
151 6.5.3 PERFORMANCE OF LINEAR MIXED MODEL TEST STATISTICS AND
ESTIMATORS 155 6.6 PROBLEMS 156 WEIGHTED LEAST SQUARES ANALYSIS OF
REPEATED CATEGORICAL OUTCOMES 169 7.1 INTRODUCTION 169 7.2 BACKGROUND
170 7.2.1 THE MULTINOMIAL DISTRIBUTION 170 7.2:2 LINEAR MODELS USING
WEIGHTED LEAST SQUARES . . . . 171 7.2.3 ANALYSIS OF CATEGORICAL DATA
USING WEIGHTED LEAST SQUARES 175 7.2.4 TAYLOR SERIES VARIANCE
APPROXIMATIONS FOR NONLINEAR RESPONSE FUNCTIONS 178 7.3 APPLICATION TO
REPEATED MEASUREMENTS 184 7.3.1 OVERVIEW 184 7.3.2 ONE POPULATION,
DICHOTOMOUS RESPONSE, REPEATED MEASUREMENTS FACTOR IS UNORDERED 184
7.3.3 ONE POPULATION, DICHOTOMOUS RESPONSE, REPEATED MEASUREMENTS FACTOR
IS ORDERED 187 7.3.4 ONE POPULATION, POLYTOMOUS RESPONSE 191 7.3.5
MULTIPLE POPULATIONS, DICHOTOMOUS RESPONSE .... 196 7.4 ACCOMMODATION OF
MISSING DATA 204 7.4.1 OVERVIEW 204 7.4.2 RATIO ESTIMATION FOR
PROPORTIONS 204 XII CONTENTS 7.4.3 ONE POPULATION, DICHOTOMOUS RESPONSE
205 7.4.4 MULTIPLE POPULATIONS, DICHOTOMOUS RESPONSE . . . . 209 7.4.5
ASSESSING THE MISSING-DATA MECHANISM 214 7.5 PROBLEMS 220 8
RANDOMIZATION MODEL METHODS FOR ONE-SAMPLE REPEATED MEASUREMENTS 239 8.1
INTRODUCTION 239 8.2 THE HYPERGEOMETRIC DISTRIBUTION AND LARGE-SAMPLE
TESTS OF RANDOMNESS FOR 2 X 2 TABLES 240 8.2.1 THE HYPERGEOMETRIC
DISTRIBUTION 240 8.2.2 TEST OF RANDOMNESS FOR A 2 X 2 CONTINGENCY TABLE
. 241 8.2.3 TEST OF RANDOMNESS FOR S 2 X 2 CONTINGENCY TABLES 242 8.3
APPLICATION TO REPEATED MEASUREMENTS: BINARY RESPONSE, TWO TIME POINTS
244 8.4 THE MULTIPLE HYPERGEOMETRIC DISTRIBUTION AND LARGE- SAMPLE TESTS
OF RANDOMNESS FOR R X C TABLES 246 8.4.1 THE MULTIPLE HYPERGEOMETRIC
DISTRIBUTION 247 8.4.2 TEST OF RANDOMNESS FOR AN R X C CONTINGENCY TABLE
248 8.4.3 TEST OF RANDOMNESS FOR S R X C TABLES 249 8.4.4
COCHRAN-MANTEL-HAENSZEL MEAN SCORE STATISTIC . . . 251 8.4.5
COCHRAN-MANTEL-HAENSZEL CORRELATION STATISTIC . . . 253 8.5 APPLICATION
TO REPEATED MEASUREMENTS: POLYTOMOUS RESPONSE, MULTIPLE TIME POINTS 253
8.5.1 INTRODUCTION 253 8.5.2 THE GENERAL ASSOCIATION STATISTIC QQ 255
8.5.3 THE MEAN SCORE STATISTIC QM AND THE CORRELATION STATISTIC Q C 255
8.6 ACCOMMODATION OF MISSING DATA 258 8.6.1 GENERAL ASSOCIATION
STATISTIC QG 258 8.6.2 MEAN SCORE STATISTIC Q M 260 8.6.3 CORRELATION
STATISTIC Q C 262 8.7 USE OF MEAN SCORE AND CORRELATION STATISTICS FOR
CONTINUOUS DATA 263 8.8 PROBLEMS 264 9 METHODS BASED ON EXTENSIONS OF
GENERALIZED LINEAR MODELS 273 9.1 INTRODUCTION 273 9.2 UNIVARIATE
GENERALIZED LINEAR MODELS 274 9.2.1 INTRODUCTION 274 9.2.2 RANDOM
COMPONENT 275 9.2.3 SYSTEMATIC COMPONENT 279 9.2.4 LINK FUNCTION 279
9.2.5 CANONICAL LINKS 279 CONTENTS XIII 9.2.6 PARAMETER ESTIMATION 281
9.3 QUASILIKELIHOOD 286 9.3.1 INTRODUCTION 286 9.3.2 CONSTRUCTION OF A
QUASILIKELIHOOD FUNCTION 287 9.3.3 QUASILIKELIHOOD ESTIMATING EQUATIONS
289 9.3.4 COMPARISON BETWEEN QUASILIKELIHOOD AND GENERALIZED LINEAR
MODELS 291 9.4 OVERVIEW OF METHODS FOR THE ANALYSIS OF REPEATED
MEASUREMENTS 291 9.4.1 INTRODUCTION 291 9.4.2 MARGINAL MODELS 292 9.4.3
RANDOM-EFFECTS MODELS 293 9.4.4 TRANSITION MODELS 293 9.4.5 COMPARISONS
OF THE THREE APPROACHES 294 9.5 THE GEE METHOD 295 9.5.1 INTRODUCTION
295 9.5.2 METHODOLOGY 296 9.5.3 EXAMPLE 301 9.5.4 HYPOTHESIS TESTS USING
WALD STATISTICS 308 9.5.5 ASSESSING MODEL ADEQUACY 309 9.5.6 SAMPLE SIZE
ESTIMATION 310 9.5.7 STUDIES OF THE PROPERTIES OF GEE 311 9.5.8 COMPUTER
SOFTWARE 312 9.5.9 CAUTIONS CONCERNING THE USE OF GEE 313 9.6 SUBSEQUENT
DEVELOPMENTS 314 9.6.1 ALTERNATIVE PROCEDURES FOR ESTIMATION OF GEE
ASSOCIATION PARAMETERS 314 9.6.2 OTHER DEVELOPMENTS AND EXTENSIONS 316
9.6.3 GEE1 AND GEE2 316 9.6.4 EXTENDED GENERALIZED ESTIMATING EQUATIONS
(EGEE) 317 9.6.5 LIKELIHOOD-BASED APPROACHES 318 9.7 RANDOM-EFFECTS
MODELS 318 9.8 METHODS FOR THE ANALYSIS OF ORDERED CATEGORICAL REPEATED
MEASUREMENTS 320 9.8.1 INTRODUCTION 320 9.8.2 UNIVARIATE CUMULATIVE
LOGIT MODELS FOR ORDERED CATEGORICAL OUTCOMES 321 9.8.3 THE UNIVARIATE
PROPORTIONAL-ODDS MODEL 322 9.8.4 THE STRAM-WEI-WARE METHODOLOGY FOR THE
ANALYSIS OF ORDERED CATEGORICAL REPEATED MEASUREMENTS . . . 324 9.8.5
EXTENSION OF GEE TO ORDERED CATEGORICAL OUTCOMES 331 9.9 PROBLEMS 332 10
NONPARAMETRIC METHODS 347 10.1 INTRODUCTION 347 XIV CONTENTS 10.2
OVERVIEW 348 10.3 MULTIVARIATE ONE-SAMPLE AND MULTISAMPLE TESTS FOR
COMPLETE DATA 350 10.3.1 ONE SAMPLE 350 10.3.2 MULTIPLE SAMPLES 350 10.4
TWO-SAMPLE TESTS FOR INCOMPLETE DATA 355 10.4.1 INTRODUCTION 355 10.4.2
THE WEI-LACHIN METHOD 355 10.4.3 THE WEI-JOHNSON METHOD 356 10.4.4
EXAMPLES 362 10.5 PROBLEMS 364 BIBLIOGRAPHY 373 AUTHOR INDEX 405 SUBJECT
INDEX 412
|
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| indexdate | 2024-07-09T19:01:19Z |
| institution | BVB |
| isbn | 0387953701 |
| language | German |
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| physical | XXIV, 415 S. graph. Darst. |
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| spelling | Davis, Charles S. 1952- Verfasser (DE-588)123744849 aut Statistical methods for the analysis of repeated measurements Charles S. Davis New York [u.a.] Springer 2002 XXIV, 415 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Springer texts in statistics Statistics cabt Statistik Multivariate analysis Experimental design Multivariate Analyse (DE-588)4040708-1 gnd rswk-swf Versuchsplanung (DE-588)4078859-3 gnd rswk-swf Multivariate Analyse (DE-588)4040708-1 s Versuchsplanung (DE-588)4078859-3 s DE-604 http://www.loc.gov/catdir/toc/fy032/2001054913.html Table of contents HEBIS Datenaustausch Darmstadt application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009810481&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Davis, Charles S. 1952- Statistical methods for the analysis of repeated measurements Statistics cabt Statistik Multivariate analysis Experimental design Multivariate Analyse (DE-588)4040708-1 gnd Versuchsplanung (DE-588)4078859-3 gnd |
| subject_GND | (DE-588)4040708-1 (DE-588)4078859-3 |
| title | Statistical methods for the analysis of repeated measurements |
| title_auth | Statistical methods for the analysis of repeated measurements |
| title_exact_search | Statistical methods for the analysis of repeated measurements |
| title_full | Statistical methods for the analysis of repeated measurements Charles S. Davis |
| title_fullStr | Statistical methods for the analysis of repeated measurements Charles S. Davis |
| title_full_unstemmed | Statistical methods for the analysis of repeated measurements Charles S. Davis |
| title_short | Statistical methods for the analysis of repeated measurements |
| title_sort | statistical methods for the analysis of repeated measurements |
| topic | Statistics cabt Statistik Multivariate analysis Experimental design Multivariate Analyse (DE-588)4040708-1 gnd Versuchsplanung (DE-588)4078859-3 gnd |
| topic_facet | Statistics Statistik Multivariate analysis Experimental design Multivariate Analyse Versuchsplanung |
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