Multilevel Structural Equation Modeling of Multitrait-Multimethod-Multioccasion Data:
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| Format: | Thesis Book |
| Language: | English |
| Published: |
2013
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| Subjects: | |
| Online Access: | Volltext Inhaltsverzeichnis |
| Item Description: | Nebentitel: Mehrebenen-Strukturgleichungsmodelle für die multimethodale Veränderungsmessung |
| Physical Description: | IX, 233 S. Ill., graph. Darst. |
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| 245 | 1 | 0 | |a Multilevel Structural Equation Modeling of Multitrait-Multimethod-Multioccasion Data |c vorgelegt von Tobias Koch |
| 246 | 1 | 3 | |a Mehrebenen-Strukturgleichungsmodelle für die multimethodale Veränderungsmessung |
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Record in the Search Index
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IMAGE 1
CONTENTS
I THEORETICAL BACKGROUND 1
1 INTRODUCTION 2
1.1 MULTITRAIT-MULTIMETHOD ANALYSIS 2
1.2 MULTITRAIT-MULTIMETHOD-MULTIOCCASION ANALYSIS 6
1.3 DIFFERENT MODELS FOR DIFFERENT TYPES OF METHODS 14
1.4 AIMS AND STRUCTURE OF THE PRESENT WORK 17
II FORMAL DEFINITIONS 19
2 THE LATENT STATE (LS-COM) MODEL 20
2.1 A GENTLE INTRODUCTION 20
2.2 FORMAL DEFINITION OF THE LS-COM MODEL 27
2.3 EXISTENCE 28
2.4 UNIQUENESS 30
2.5 MEANINGFULNESS 33
2.6 TESTABILITY 35
2.6.1 ZERO COVARIANCES BASED ON MODEL DEFINITION 36
2.6.2 COVARIANCE STRUCTURE 40
2.6.3 INTERPRETATION OF NON-ZERO COVARIANCES AND CORRELATIONS 46
2.7 GENERAL MEASUREMENT EQUATIONS AND VARIANCE DECOMPOSITIONS 50
2.7.1 VARIANCE DECOMPOSITION 51
2.8 MEAN STRUCTURE 52
2.9 IDENTIFIABILITY 53
2.10 MEASUREMENT INVARIANCE 54
3 THE BASELINE LATENT CHANGE (LC-COM) MODEL 60
3.1 A GENTLE INTRODUCTION 60
3.2 DEFINITION OF THE SIMPLE BASELINE LC-COM MODEL 63
3.3 DEFINITION OF THE EXTENDED BASELINE LC-COM MODEL 63
3.4 EXISTENCE 65
3.5 UNIQUENESS 66
3.6 MEANINGFULNESS 69
IV
HTTP://D-NB.INFO/1043133380
IMAGE 2
CONTENTS V
3.7 TESTABILITY 71
3.7.1 ZERO COVARIANCES BASED ON THE MODEL DEFINITION 71
3.7.2 COVARIANCE STRUCTURE 73
3.7.3 INTERPRETATION OF NON-ZERO COVARIANCES AND CORRELATIONS 80
3.7.4 CORRELATIONS THAT SHOULD BE SET TO ZERO FOR PARSIMONY 82
3.8 GENERAL MEASUREMENT EQUATIONS AND VARIANCE DECOMPOSITIONS 83
3.8.1 VARIANCE DECOMPOSITION 84
3.9 MEAN STRUCTURE 87
3.10 IDENTIFIABILITY 88
4 THE LATENT STATE-TRAIT (LST-COM) MODEL 90
4.1 A GENTLE INTRODUCTION 90
4.2 DEFINITION OF THE LST-COM MODEL 100
4.2.1 DEFINITION OF THE LST-COM MODEL WITH CONDITIONAL REGRESSIVE
INDEPENDENT
LATENT STATE VARIABLES 101
4.3 EXISTENCE 103
4.4 UNIQUENESS 105
4.5 MEANINGFULNESS 109
4.6 TESTABILITY 114
4.6.1 ZERO COVARIANCES BASED ON MODEL DEFINITION 115
4.6.2 COVARIANCE STRUCTURE 121
4.6.3 INTERPRETATION OF NON-ZERO CORRELATIONS AND CORRELATIONS 127
4.7 GENERAL MEASUREMENT EQUATIONS AND VARIANCE DECOMPOSITIONS 130
4.7.1 VARIANCE DECOMPOSITION 131
4.8 MEAN STRUCTURE 134
4.9 IDENTIFIABILITY 136
4.10 MEASUREMENT INVARIANCE 139
5 THE LATENT GROWTH CURVE (LGC-COM) MODEL 141
5.1 A GENTLE INTRODUCTION 141
5.2 DEFINITION OF THE LGC-COM MODEL 148
5.3 TESTABILITY 149
5.3.1 INTERPRETATION OF NON-ZERO COVARIANCES AND CORRELATIONS 151
5.4 GENERAL MEASUREMENT EQUATIONS AND VARIANCE DECOMPOSITIONS 152
5.4.1 VARIANCE DECOMPOSITION . . 153
5.5 MEAN STRUCTURE 155
5.6 IDENTIFIABILITY 157
III MONTE CARLO SIMULATION STUDIES 163
6 RATIONALE AND AIMS OF THE MONTE CARLO SIMULATION STUDIES 164
6.1 AIMS OF THE SIMULATION STUDIES 166
IMAGE 3
CONTENTS VI
6.2 SIMULATION DESIGNS 167
6.3 GENERAL PROCEDURE 168
6.3.1 ESTIMATORS 169
6.3.2 CRITERIA FOR EVALUATING THE PERFORMANCE OF THE MODELS 169
6.4 GENERAL EXPECTATIONS 171
6.5 STATISTICAL ANALYSES 173
7 SIMULATION I : LATENT STATE (LS-COM) MODEL 174
7.1 SPECIFICATION OF THE POPULATION MODEL 174
7.2 RESULTS 174
7.2.1 CONVERGENCE 174
7.2.2 IMPROPER SOLUTIONS 175
7.2.3 BIAS OF PARAMETER ESTIMATES AND STANDARD ERRORS 178
7.2.4 APPROPRIATENESS OF X 2 FIT STATISTICS 181
7.3 RESULTS BASED ON THE MLR ESTIMATOR 184
8 SIMULATION II : LATENT CHANGE (LC-COM) MODEL 185
8.1 SPECIFICATION OF THE POPULATION MODEL 185
8.2 RESULTS 185
8.2.1 CONVERGENCE 185
8.2.2 IMPROPER SOLUTIONS 185
8.2.3 BIAS OF PARAMETER ESTIMATES AND STANDARD ERRORS 188
9 SIMULATION III : LATENT STATE-TRAIT (LST-COM) MODEL 191
9.1 SPECIFICATION OF THE POPULATION MODEL 191
9.2 RESULTS 192
9.2.1 CONVERGENCE 192
9.2.2 IMPROPER SOLUTIONS 192
9.2.3 BIAS OF PARAMETER ESTIMATES AND STANDARD ERRORS 194
10 SIMULATION IV : LATENT GROWTH CURVE (LGC-COM) MODEL 197
10.1 SPECIFICATION OF THE POPULATION MODEL 197
10.2 RESULTS 197
10.2.1 CONVERGENCE 197
10.2.2 IMPROPER SOLUTIONS 198
10.3 SUMMARY OF THE MONTE CARLO SIMULATION STUDIES AND GENERAL
RECOMMENDATIONS . . 202
IV FINAL DISCUSSION 204
11 FINAL DISCUSSION 205
11.1 PRACTICAL GUIDELINES FOR EMPIRICAL APPLICATIONS. 205
11.1.1 MODEL SELECTION 205
11.1.2 CHOICE OF THE REFERENCE METHOD 207
IMAGE 4
CONTENTS VII
11.1.3 ITEM SELECTION 207
11.1.4 COMPLEX HIERARCHICAL DATA STRUCTURES 208
11.1.5 OPTIMAL SAMPLE SIZE 208
11.2 ADVANTAGES 209
11.3 LIMITATIONS 210
11.4 FUTURE RESEARCH 211
11.5 SUMMARY AND CONCLUSION 213
REFERENCES 214
12 APPENDIX 223
A DOTPLOTS FOR THE RANDOM EFFECTS 224
B ^-APPROXIMATION 229
C APPENDIX CD-ROM 231
D GERMAN APPENDIX (ANHANG IN DEUTSCHER SPRACHE) 232
D.L ZUSAMMENFASSUNG IN DEUTSCHER SPRACHE 232
D.2 ERKLARUNG 233 |
| any_adam_object | 1 |
| author | Koch, Tobias |
| author_GND | (DE-588)1036965090 |
| author_facet | Koch, Tobias |
| author_role | aut |
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| building | Verbundindex |
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| dewey-full | 519.57 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 519 - Probabilities and applied mathematics |
| dewey-raw | 519.57 |
| dewey-search | 519.57 |
| dewey-sort | 3519.57 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Thesis Book |
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| spelling | Koch, Tobias Verfasser (DE-588)1036965090 aut Multilevel Structural Equation Modeling of Multitrait-Multimethod-Multioccasion Data vorgelegt von Tobias Koch Mehrebenen-Strukturgleichungsmodelle für die multimethodale Veränderungsmessung 2013 IX, 233 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Nebentitel: Mehrebenen-Strukturgleichungsmodelle für die multimethodale Veränderungsmessung Berlin, Freie Univ., Diss., 2013 Konstruktvalidität (DE-588)4399882-3 gnd rswk-swf Multitrait-multimethod matrix (DE-588)4126086-7 gnd rswk-swf Strukturgleichungsmodell (DE-588)4252999-2 gnd rswk-swf Kontextanalyse (DE-588)4129240-6 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Kontextanalyse (DE-588)4129240-6 s Strukturgleichungsmodell (DE-588)4252999-2 s Multitrait-multimethod matrix (DE-588)4126086-7 s Konstruktvalidität (DE-588)4399882-3 s DE-188 Erscheint auch als Online-Ausgabe urn:nbn:de:kobv:188-fudissthesis000000094645-3 http://www.diss.fu-berlin.de/diss/receive/FUDISS_thesis_000000094645 kostenfrei Volltext DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026114153&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Koch, Tobias Multilevel Structural Equation Modeling of Multitrait-Multimethod-Multioccasion Data Konstruktvalidität (DE-588)4399882-3 gnd Multitrait-multimethod matrix (DE-588)4126086-7 gnd Strukturgleichungsmodell (DE-588)4252999-2 gnd Kontextanalyse (DE-588)4129240-6 gnd |
| subject_GND | (DE-588)4399882-3 (DE-588)4126086-7 (DE-588)4252999-2 (DE-588)4129240-6 (DE-588)4113937-9 |
| title | Multilevel Structural Equation Modeling of Multitrait-Multimethod-Multioccasion Data |
| title_alt | Mehrebenen-Strukturgleichungsmodelle für die multimethodale Veränderungsmessung |
| title_auth | Multilevel Structural Equation Modeling of Multitrait-Multimethod-Multioccasion Data |
| title_exact_search | Multilevel Structural Equation Modeling of Multitrait-Multimethod-Multioccasion Data |
| title_full | Multilevel Structural Equation Modeling of Multitrait-Multimethod-Multioccasion Data vorgelegt von Tobias Koch |
| title_fullStr | Multilevel Structural Equation Modeling of Multitrait-Multimethod-Multioccasion Data vorgelegt von Tobias Koch |
| title_full_unstemmed | Multilevel Structural Equation Modeling of Multitrait-Multimethod-Multioccasion Data vorgelegt von Tobias Koch |
| title_short | Multilevel Structural Equation Modeling of Multitrait-Multimethod-Multioccasion Data |
| title_sort | multilevel structural equation modeling of multitrait multimethod multioccasion data |
| topic | Konstruktvalidität (DE-588)4399882-3 gnd Multitrait-multimethod matrix (DE-588)4126086-7 gnd Strukturgleichungsmodell (DE-588)4252999-2 gnd Kontextanalyse (DE-588)4129240-6 gnd |
| topic_facet | Konstruktvalidität Multitrait-multimethod matrix Strukturgleichungsmodell Kontextanalyse Hochschulschrift |
| url | http://www.diss.fu-berlin.de/diss/receive/FUDISS_thesis_000000094645 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026114153&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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