Generalized latent variable modeling: multilevel, longitudinal, and structural equation models
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| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Boca-Raton [u.a.]
Chapman & Hall/CRC
2004
|
| Series: | Interdisciplinary statistics series
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Literaturverz. S. 445 - 485 und Indices |
| Physical Description: | xi, 508 Seiten Diagramme, Karten |
| ISBN: | 9781584880004 1584880007 |
Staff View
MARC
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| 264 | 1 | |a Boca-Raton [u.a.] |b Chapman & Hall/CRC |c 2004 | |
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Record in the Search Index
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| adam_text |
Contents
Preface
ix
Dedication
xi
I Methodology
xiii
1
The omni-presence of latent variables
1
1.1
Introduction
1
1.2
'True' variable measured with error
2
1.3
Hypothetical constructs
4
1.4
Unobserved heterogeneity
9
1.5
Missing values and counterfactuals
14
1.6
Latent responses
16
1.7
Generating flexible distributions
17
1.8
Combining information
18
1.9
Summary
18
2
Modeling different response processes
21
2.1
Introduction
21
2.2
Generalized linear models
22
2.3
Extensions of generalized linear models
27
2.4
Latent response formulation
33
2.5
Modeling durations or survival
39
2.6
Summary and further reading
46
3
Classical latent variable models
49
3.1
Introduction
49
3.2
Multilevel regression models
49
3.3
Factor models and item response models
63
3.4
Latent class models
74
3.5
Structural equation models with latent variables
75
3.6
Longitudinal models
80
3.7
Summary and further reading
93
4
General model framework
95
4.1
Introduction
95
vi
CONTENTS
4.2
Response
model
96
4.3
Structural model for the latent variables
108
4.4
Distribution of the disturbances
112
4.5
Parameter restrictions and fundamental parameters
117
4.6
Reduced form of the latent variables and linear predictor
120
4.7
Moment structure of the latent variables
121
4.8
Marginal moment structure of observed and latent responses
123
4.9
Reduced form distribution and likelihood
127
4.10
Reduced form parameters
130
4.11
Summary and further reading
132
5
Identification and equivalence
135
5.1
Introduction
135
5.2
Identification
136
5.3
Equivalence
152
5.4
Summary and further reading
157
6
Estimation
159
6.1
Introduction
159
6.2
Maximum likelihood: Closed form marginal likelihood
160
6.3
Maximum likelihood: Approximate marginal likelihood
161
6.4
Maximizing the likelihood
174
6.5
Nonparametric maximum likelihood estimation
182
6.6
Restricted/Residual maximum likelihood (REML)
184
6.7
Limited information methods
185
6.8
Maximum quasi-likelihood
191
6.9
Generalized Estimating Equations (GEE)
197
6.10
Fixed effects methods
200
6.11
Bayesian methods
204
6.12
Summary
214
Appendix: Some software and references
216
7
Assigning values to latent variables
221
7.1
Introduction
221
7.2
Posterior distributions
222
7.3
Empirical
Bayes
(EB)
225
7.4
Empirical
Bayes
modal (EBM)
235
7.5
Maximum likelihood
237
7.6
Relating the scoring methods in the 'linear case'
241
7.7
Ad hoc scoring methods
241
7.8
Some uses of latent scoring and classification
243
7.9
Summary and further reading
247
Appendix: Some software
249
CONTENTS
vii
8 Model
spécification
and inference
251
8.1
Introduction
251
8.2
Statistical modeling
251
8.3
Inference (likelihood based)
257
8.4
Model selection: Relative fit criteria
262
8.5
Model adequacy: Global absolute fit criteria
267
8.6
Model diagnostics: Local absolute fit criteria
272
8.7
Summary and further reading
280
II Applications
283
9
Dichotomous responses
285
9.1
Introduction
285
9.2
Respiratory infection in children: A random intercept model
285
9.3
Diagnosis of myocardial infarction: A latent class model
288
9.4
Arithmetic reasoning: Item response models
292
9.5
Nicotine gum and smoking cessation: A meta-analysis
299
9.6
Wives' employment transitions: Markov models with unob¬
served heterogeneity
307
9.7
Counting snowshoe hares: Capture-recapture models with
heterogeneity
311
9.8
Attitudes to abortion: A multilevel item response model
315
9.9
Summary and further reading
318
10
Ordinal responses
321
10.1
Introduction
321
10.2
Cluster randomized trial of sex education: Latent growth curve
model
321
10.3
Political efficacy: Factor dimensionality and item-bias
326
10.4
Life satisfaction: Ordinal scaled
probit
factor models
338
10.5
Summary and further reading
347
11
Counts
349
11.1
Introduction
349
11.2
Prevention of faulty teeth in children: Modeling overdispersion
349
11.3
Treatment of epilepsy: A random coefficient model
355
11.4
Lip cancer in Scotland: Disease mapping
361
11.5
Summary and further reading
370
12
Durations and survival
373
12.1
Introduction
373
12.2
Modeling multiple events clustered duration data
373
12.3
Onset of smoking: Discrete time frailty models
375
12.4
Exercise and angina: Proportional hazards random effects and
factor models
382
viii CONTENTS
12.5
Summary and further reading
390
13
Comparative responses
393
13.1
Introduction
393
13.2
Heterogeneity and 'Independence from Irrelevant Alternatives'
393
13.3
Model structure
395
13.4
British general elections: Multilevel models for discrete choice
and rankings
397
13.5
Post-materialism: A latent class model for rankings
404
13.6
Consumer preferences for coffee makers: A conjoint choice
model
408
13.7
Summary and further reading
415
14
Multiple processes and mixed responses
417
14.1
Introduction
417
14.2
Diet and heart disease: A covariate measurement error model
417
14.3
Herpes and cervical cancer: A latent class covariate measure¬
ment error model for a case-control study
422
14.4
Job training and depression: A compiler average causal effect
model
427
14.5
Physician advice and drinking: An endogenous treatment
model
432
14.6
Treatment of liver cirrhosis: A joint survival and marker model
438
14.7
Summary and further reading
443
References
445
Index
487
Author index
496 |
| any_adam_object | 1 |
| author | Skrondal, Anders 1961- Rabe-Hesketh, Sophia |
| author_GND | (DE-588)14306097X (DE-588)13573116X |
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| dewey-full | 519.535 |
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| dewey-ones | 519 - Probabilities and applied mathematics |
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| dewey-tens | 510 - Mathematics |
| discipline | Soziologie Mathematik Wirtschaftswissenschaften |
| format | Book |
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| institution | BVB |
| isbn | 9781584880004 1584880007 |
| language | English |
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| spelling | Skrondal, Anders 1961- (DE-588)14306097X aut Generalized latent variable modeling multilevel, longitudinal, and structural equation models Anders Skrondal ; Sophia Rabe-Hesketh Boca-Raton [u.a.] Chapman & Hall/CRC 2004 xi, 508 Seiten Diagramme, Karten txt rdacontent n rdamedia nc rdacarrier Interdisciplinary statistics series Literaturverz. S. 445 - 485 und Indices Statistisches Modell - Latente Variable Latente Variable (DE-588)4166860-1 gnd rswk-swf Analyse latenter Strukturen (DE-588)4142341-0 gnd rswk-swf Statistisches Modell (DE-588)4121722-6 gnd rswk-swf Latente Variable (DE-588)4166860-1 s Statistisches Modell (DE-588)4121722-6 s DE-188 Analyse latenter Strukturen (DE-588)4142341-0 s Rabe-Hesketh, Sophia (DE-588)13573116X aut Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=012824991&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Skrondal, Anders 1961- Rabe-Hesketh, Sophia Generalized latent variable modeling multilevel, longitudinal, and structural equation models Statistisches Modell - Latente Variable Latente Variable (DE-588)4166860-1 gnd Analyse latenter Strukturen (DE-588)4142341-0 gnd Statistisches Modell (DE-588)4121722-6 gnd |
| subject_GND | (DE-588)4166860-1 (DE-588)4142341-0 (DE-588)4121722-6 |
| title | Generalized latent variable modeling multilevel, longitudinal, and structural equation models |
| title_auth | Generalized latent variable modeling multilevel, longitudinal, and structural equation models |
| title_exact_search | Generalized latent variable modeling multilevel, longitudinal, and structural equation models |
| title_full | Generalized latent variable modeling multilevel, longitudinal, and structural equation models Anders Skrondal ; Sophia Rabe-Hesketh |
| title_fullStr | Generalized latent variable modeling multilevel, longitudinal, and structural equation models Anders Skrondal ; Sophia Rabe-Hesketh |
| title_full_unstemmed | Generalized latent variable modeling multilevel, longitudinal, and structural equation models Anders Skrondal ; Sophia Rabe-Hesketh |
| title_short | Generalized latent variable modeling |
| title_sort | generalized latent variable modeling multilevel longitudinal and structural equation models |
| title_sub | multilevel, longitudinal, and structural equation models |
| topic | Statistisches Modell - Latente Variable Latente Variable (DE-588)4166860-1 gnd Analyse latenter Strukturen (DE-588)4142341-0 gnd Statistisches Modell (DE-588)4121722-6 gnd |
| topic_facet | Statistisches Modell - Latente Variable Latente Variable Analyse latenter Strukturen Statistisches Modell |
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