Applied functional data analysis: methods and case studies
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| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New York [u.a.]
Springer
2002
|
| Series: | Springer series in statistics
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | X, 190 S. Ill., graph. Darst. |
| ISBN: | 0387954147 |
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| 245 | 1 | 0 | |a Applied functional data analysis |b methods and case studies |c J. O. Ramsay ; B. W. Silverman |
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Record in the Search Index
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| adam_text | J.O. RAMSAY B.W. SILVERMAN APPLIED FUNCTIONAL DATA ANALYSIS METHODS AND
CASE STUDIES WITH 112 FIGURES SPRINGER CONTENTS PREFACE V 1 INTRODUCTION
1 1.1 WHY CONSIDER FUNCTIONAL DATA AT ALL? 1 1.2 THE WEB SITE 2 1.3 THE
CASE STUDIES 2 1.4 HOW IS FUNCTIONAL DATA ANALYSIS DISTINCTIVE? 14 1.5
CONCLUSION AND BIBLIOGRAPHY 15 2 LIFE COURSE DATA IN CRIMINOLOGY 17 2.1
CRIMINOLOGY LIFE COURSE STUDIES 17 2.1.1 BACKGROUND 17 2.1.2 THE LIFE
COURSE DATA 18 2.2 FIRST STEPS IN A FUNCTIONAL APPROACH 19 2.2.1 TURNING
DISCRETE VALUES INTO A FUNCTIONAL DATUM . 19 2.2.2 ESTIMATING THE MEAN
21 2.3 FUNCTIONAL PRINCIPAL COMPONENT ANALYSES 23 2.3.1 THE BASIC
METHODOLOGY 23 2.3.2 SMOOTHING THE PCA 26 2.3.3 SMOOTHED PCA OF THE
CRIMINOLOGY DATA 26 2.3.4 DETAILED EXAMINATION OF THE SCORES 28 2.4 WHAT
HAVE WE SEEN? 31 VIII CONTENTS 2.5 HOW ARE FUNCTIONS STORED AND
PROCESSED? 33 2.5.1 BASIS EXPANSIONS 33 2.5.2 FITTING BASIS COEFFICIENTS
TO THE OBSERVED DATA . . 35 2.5.3 SMOOTHING THE SAMPLE MEAN FUNCTION 36
2.5.4 CALCULATIONS FOR SMOOTHED FUNCTIONAL PCA . . . . 37 2.6
CROSS-VALIDATION FOR ESTIMATING THE MEAN 38 2.7 NOTES AND BIBLIOGRAPHY
40 3 THE NONDURABLE GOODS INDEX 41 3.1 INTRODUCTION 41 3.2
TRANSFORMATION AND SMOOTHING 43 3.3 PHASE-PLANE PLOTS 44 3.4 THE
NONDURABLE GOODS CYCLES 47 3.5 WHAT HAVE WE SEEN? 54 3.6 SMOOTHING DATA
FOR PHASE-PLANE PLOTS 55 3.6.1 FOURTH DERIVATIVE ROUGHNESS PENALTIES 55
3.6.2 CHOOSING THE SMOOTHING PARAMETER 55 4 BONE SHAPES FROM A
PALEOPATHOLOGY STUDY 57 4.1 ARCHAEOLOGY AND ARTHRITIS 57 4.2 DATA
CAPTURE 58 4.3 HOW ARE THE SHAPES PARAMETERIZED? 59 4.4 A FUNCTIONAL
PRINCIPAL COMPONENTS ANALYSIS 61 4.4.1 PROCRUSTES ROTATION AND PCA
CALCULATION 61 4.4.2 VISUALIZING THE COMPONENTS OF SHAPE VARIABILITY .
61 4.5 VARIMAX ROTATION OF THE PRINCIPAL COMPONENTS 63 4.6 BONE SHAPES
AND ARTHRITIS: CLINICAL RELATIONSHIP? 65 4.7 WHAT HAVE WE SEEN? 66 4.8
NOTES AND BIBLIOGRAPHY 66 5 MODELING REACTION-TIME DISTRIBUTIONS 69 5.1
INTRODUCTION 69 5.2 NONPARAMETRIC MODELING OF DENSITY FUNCTIONS 71 5.3
ESTIMATING DENSITY AND INDIVIDUAL DIFFERENCES 73 5.4 EXPLORING VARIATION
ACROSS SUBJECTS WITH PCA 76 5.5 WHAT HAVE WE SEEN? 79 5.6 TECHNICAL
DETAILS 80 6 ZOOMING IN ON HUMAN GROWTH 83 6.1 INTRODUCTION 83 6.2
HEIGHT MEASUREMENTS AT THREE SCALES 84 6.3 VELOCITY AND ACCELERATION 86
6.4 AN EQUATION FOR GROWTH 89 6.5 TIMING OR PHASE VARIATION IN GROWTH 91
6.6 AMPLITUDE AND PHASE VARIATION IN GROWTH 93 CONTENTS IX 6.7 WHAT WE
HAVE SEEN? 96 6.8 NOTES AND FURTHER ISSUES 97 6.8.1 BIBLIOGRAPHY 97
6.8.2 THE GROWTH DATA 98 6.8.3 ESTIMATING A SMOOTH MONOTONE CURVE TO FIT
DATA . 98 7 TIME WARPING HANDWRITING AND WEATHER RECORDS 101 7.1
INTRODUCTION 101 7.2 FORMULATING THE REGISTRATION PROBLEM 102 7.3
REGISTERING THE PRINTING DATA 104 7.4 REGISTERING THE WEATHER DATA 105
7.5 WHAT HAVE WE SEEN? 110 7.6 NOTES AND REFERENCES 110 7.6.1 CONTINUOUS
REGISTRATION 110 7.6.2 ESTIMATION OF THE WARPING FUNCTION 113 8 HOW DO
BONE SHAPES INDICATE ARTHRITIS? 115 8.1 INTRODUCTION 115 8.2 ANALYZING
SHAPES WITHOUT LANDMARKS 116 8.3 INVESTIGATING SHAPE VARIATION 120 8.3.1
LOOKING AT MEANS ALONE 120 8.3.2 PRINCIPAL COMPONENTS ANALYSIS 120 8.4
THE SHAPE OF ARTHRITIC BONES 123 8.4.1 LINEAR DISCRIMINANT ANALYSIS 123
8.4.2 REGULARIZING THE DISCRIMINANT ANALYSIS 125 8.4.3 WHY NOT JUST LOOK
AT THE GROUP MEANS? 127 8.5 WHAT HAVE WE SEEN? 128 8.6 NOTES AND FURTHER
ISSUES 128 8.6.1 BIBLIOGRAPHY 128 8.6.2 WHY IS REGULARIZATION NECESSARY?
129 8.6.3 CROSS-VALIDATION IN CLASSIFICATION PROBLEMS . . . . 130 9
FUNCTIONAL MODELS FOR TEST ITEMS 131 9.1 INTRODUCTION 131 9.2 THE
ABILITY SPACE CURVE 132 9.3 ESTIMATING ITEM RESPONSE FUNCTIONS 135 9.4
PCA OF LOG ODDS-RATIO FUNCTIONS 136 9.5 DO WOMEN AND MEN PERFORM
DIFFERENTLY ON THIS TEST? . . 138 9.6 A NONLATENT TRAIT: ARC LENGTH 140
9.7 WHAT HAVE WE SEEN? 143 9.8 NOTES AND BIBLIOGRAPHY 143 10 PREDICTING
LIP ACCELERATION FROM ELECTROMYOGRAPHY 145 10.1 THE NEURAL CONTROL OF
SPEECH 145 10.2 THE LIP AND EMG CURVES 147 X CONTENTS 10.3 THE LINEAR
MODEL FOR THE DATA 148 10.4 THE ESTIMATED REGRESSION FUNCTION 150 10.5
HOW FAR BACK SHOULD THE HISTORICAL MODEL GO? 152 10.6 WHAT HAVE WE SEEN?
155 10.7 NOTES AND BIBLIOGRAPHY 155 11 THE DYNAMICS OF HANDWRITING
PRINTED CHARACTERS 157 11.1 RECORDING HANDWRITING IN REAL TIME 157 11.2
AN INTRODUCTION TO DYNAMIC MODELS 158 11.3 ONE SUBJECT S PRINTING DATA
160 11.4 A DIFFERENTIAL EQUATION FOR HANDWRITING 162 11.5 ASSESSING
THE FIT OF THE EQUATION 165 11.6 CLASSIFYING WRITERS BY USING THEIR
DYNAMIC EQUATIONS . . 166 11.7 WHAT HAVE WE SEEN? 170 12 A DIFFERENTIAL
EQUATION FOR JUGGLING 171 12.1 INTRODUCTION 171 12.2 THE DATA AND
PRELIMINARY ANALYSES 172 12.3 FEATURES IN THE AVERAGE CYCLE 173 12.4 THE
LINEAR DIFFERENTIAL EQUATION 176 12.5 WHAT HAVE WE SEEN? 180 12.6 NOTES
AND REFERENCES 181 REFERENCES 183 INDEX 187
|
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| author | Ramsay, James O. Silverman, Bernard W. |
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| indexdate | 2024-07-09T19:02:27Z |
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| isbn | 0387954147 |
| language | English |
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| spelling | Ramsay, James O. Verfasser aut Applied functional data analysis methods and case studies J. O. Ramsay ; B. W. Silverman New York [u.a.] Springer 2002 X, 190 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Springer series in statistics Analyse multivariée Análise multivariada larpcal Multivariate analyse gtt Multivariate analysis Funktionale Datenanalyse (DE-588)4699227-3 gnd rswk-swf Funktionale Datenanalyse (DE-588)4699227-3 s DE-604 Silverman, Bernard W. Verfasser aut HEBIS Datenaustausch Darmstadt application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009856452&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Ramsay, James O. Silverman, Bernard W. Applied functional data analysis methods and case studies Analyse multivariée Análise multivariada larpcal Multivariate analyse gtt Multivariate analysis Funktionale Datenanalyse (DE-588)4699227-3 gnd |
| subject_GND | (DE-588)4699227-3 |
| title | Applied functional data analysis methods and case studies |
| title_auth | Applied functional data analysis methods and case studies |
| title_exact_search | Applied functional data analysis methods and case studies |
| title_full | Applied functional data analysis methods and case studies J. O. Ramsay ; B. W. Silverman |
| title_fullStr | Applied functional data analysis methods and case studies J. O. Ramsay ; B. W. Silverman |
| title_full_unstemmed | Applied functional data analysis methods and case studies J. O. Ramsay ; B. W. Silverman |
| title_short | Applied functional data analysis |
| title_sort | applied functional data analysis methods and case studies |
| title_sub | methods and case studies |
| topic | Analyse multivariée Análise multivariada larpcal Multivariate analyse gtt Multivariate analysis Funktionale Datenanalyse (DE-588)4699227-3 gnd |
| topic_facet | Analyse multivariée Análise multivariada Multivariate analyse Multivariate analysis Funktionale Datenanalyse |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009856452&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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