An introduction to latent variable growth curve modeling: concepts, issues, and applications
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| Main Authors: | , , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Mahwah, NJ [u.a.]
Erlbaum
2006
|
| Edition: | 2. ed. |
| Series: | Quantitative methodology series
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Hier auch später erschienene, unveränderte Nachdrucke |
| Physical Description: | XII, 261 S. graph. Darst. 1 CD-ROM (12 cm) |
| ISBN: | 0805855475 0805855467 9780805855470 |
Staff View
MARC
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| 100 | 1 | |a Duncan, Terry E. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a An introduction to latent variable growth curve modeling |b concepts, issues, and applications |c Terry E. Duncan ; Susan C. Duncan ; Lisa A. Strycker |
| 250 | |a 2. ed. | ||
| 264 | 1 | |a Mahwah, NJ [u.a.] |b Erlbaum |c 2006 | |
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| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
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Record in the Search Index
| _version_ | 1804136283347353600 |
|---|---|
| adam_text | Contents
Preface
ix
Acknowledgments
xii
1.
Introduction
1
Typical Approaches to Studying Change
1
Toward an Integrated Developmental Model
3
Organization of the Book
5
Related Literature on LGM
9
Software Implementation
10
Evaluation of Model Fit
13
2.
Specification of the LGM
17
Two-Factor LGM for Two Time Points
17
LGM Parameters
19
LGM Assumptions
21
Expressing Model Parameters as Functions of Measured
21
Means, Variances, and Covariances
Interpretation of the Growth Factors
23
Representing the Shape of Growth Over Time
26
Example
2.1:
Three-Factor Polynomial LGM
26
Example
2.2:
Unspecified Two-Factor LGM
31
Example
2.3:
The Single-Factor LGM
35
Summary
38
3.
LGM, Repeated Measures ANOVA, and the Mixed Linear
41
Model
Example
3.1:
The Unconditional Growth Curve Model
42
Including Predictors and Sequelae of Change in Growth
50
Curve Models
CONTENTS
Example
3.2:
Growth Curve Models Involving Predictors
52
of Change
Example
3.3:
Growth Curve Models Involving Sequelae
56
of Change
Example
3.4:
The Full Growth Curve Model Involving
58
Predictors and Sequelae of Change
Summary
61
4.
Multivariate Representations of Growth and Development
63
Example
4.1:
Associative LGM
64
Higher Order LGMs
67
Example
4.2:
Factor-of-Curves LGM
68
Example
4.3:
Curve-of-Factors LGM
69
Example
4.4:
Including Structural Parameters
74
Summary
77
5.
Analyzing Growth in Multiple Populations
81
Equality of Sets of Parameters of an LGM
83
Example
5.1:
Multiple-Sample Analysis of Change
84
Lagrange
Multipliers
86
Example
5.2:
Alternative Multiple-Sample Analysis
88
of Added Growth LGM
Summary
90
6.
Accelerated Designs
93
Cohort-Sequential LGM
94
Example
6.1:
Cohort-Sequential LGM
97
Example
6.2:
Unspecified Cohort-Sequential LGM
98
Summary
100
7.
Multilevel Longitudinal Approaches
103
Example
7.1:
Full Information Maximum Likelihood
105
Estimation (FIML)
Example
7.2:
Multilevel LGM (MLGM)
109
Example
7.3:
Extension of the Hierarchical LGM to Four
115
Levels
Summary
122
CONTENTS
8.
Growth Mixture Modeling
125
Latent Class Analysis of Dynamic Models
125
Covariance Structure Analysis Mixture Modeling
126
Growth Mixture Modeling
127
Model Specifications
128
Model Estimation
131
Example
8.1:
The Single-Class Growth Curve Model
132
Example
8.2:
Determining Sample Heterogeneity:
135
Multiple-Class Growth Curve Models
Alternative Methods for Estimating the Number of Classes
138
and Parameter Starting Values
Example
8.3:
Including Covariates in the Mixture Modeling
141
Framework
Example
8.4:
Including Mixture Indicators
143
Summary
147
9.
Piecewise and Pooled Interrupted Time Series LGMs
151
Example
9.1:
Piecewise Models
153
Example
9.2:
Pooled Interrupted Time Series LGM
157
Example
9.3:
Simple Change LGM
160
Summary
162
10.
Latent Growth Curve Modeling With Categorical Variables
165
Measurement Characteristics of the Ordered Categorical
167
Variable
Growth Modeling With Categorical Outcome Variables
168
Software Implementation
169
Example
10.1:
LGM of Ordered Categorical Outcomes
172
Summary
176
11.
Missing Data Models
179
A Taxonomy of Methods for Partial Missingness
179
A Taxonomy of Missingness
180
Model-Based Approaches to Analyses With Partial
181
Missingness
Example
11.1:
Multiple-Group Analyses Incorporating
184
Missing Data
viii CONTENTS
Example
11.2:
Full Information Maximum Likelihood (FIML)
185
Extensions of the Multiple-Group Approach
Example
11.3:
Multiple Imputation of Missing Data
188
Summary
192
12.
Latent Variable Framework for LGM Power Estimation
195
Power Estimation Within a Latent Variable Framework
196
Example
12.1:
Power Estimation in LGM
198
Example
12.2:
Power Estimation in a Multiple-Population
202
Context
Example
12.3:
Monte Carlo Power Estimation
206
Summary
208
13.
Testing Interaction Effects in LGMs
213
Example
13.1:
The Two-Factor Intercept-Slope Model
214
Summary
220
14.
Summary
225
Advantages of LGM
226
Limitations of LGM
230
Concluding Remarks
231
References
233
Author Index
249
Subject Index
255
About the Authors
261
|
| adam_txt |
Contents
Preface
ix
Acknowledgments
xii
1.
Introduction
1
Typical Approaches to Studying Change
1
Toward an Integrated Developmental Model
3
Organization of the Book
5
Related Literature on LGM
9
Software Implementation
10
Evaluation of Model Fit
13
2.
Specification of the LGM
17
Two-Factor LGM for Two Time Points
17
LGM Parameters
19
LGM Assumptions
21
Expressing Model Parameters as Functions of Measured
21
Means, Variances, and Covariances
Interpretation of the Growth Factors
23
Representing the Shape of Growth Over Time
26
Example
2.1:
Three-Factor Polynomial LGM
26
Example
2.2:
Unspecified Two-Factor LGM
31
Example
2.3:
The Single-Factor LGM
35
Summary
38
3.
LGM, Repeated Measures ANOVA, and the Mixed Linear
41
Model
Example
3.1:
The Unconditional Growth Curve Model
42
Including Predictors and Sequelae of Change in Growth
50
Curve Models
CONTENTS
Example
3.2:
Growth Curve Models Involving Predictors
52
of Change
Example
3.3:
Growth Curve Models Involving Sequelae
56
of Change
Example
3.4:
The Full Growth Curve Model Involving
58
Predictors and Sequelae of Change
Summary
61
4.
Multivariate Representations of Growth and Development
63
Example
4.1:
Associative LGM
64
Higher Order LGMs
67
Example
4.2:
Factor-of-Curves LGM
68
Example
4.3:
Curve-of-Factors LGM
69
Example
4.4:
Including Structural Parameters
74
Summary
77
5.
Analyzing Growth in Multiple Populations
81
Equality of Sets of Parameters of an LGM
83
Example
5.1:
Multiple-Sample Analysis of Change
84
Lagrange
Multipliers
86
Example
5.2:
Alternative Multiple-Sample Analysis
88
of "Added Growth" LGM
Summary
90
6.
Accelerated Designs
93
Cohort-Sequential LGM
94
Example
6.1:
Cohort-Sequential LGM
97
Example
6.2:
Unspecified Cohort-Sequential LGM
98
Summary
100
7.
Multilevel Longitudinal Approaches
103
Example
7.1:
Full Information Maximum Likelihood
105
Estimation (FIML)
Example
7.2:
Multilevel LGM (MLGM)
109
Example
7.3:
Extension of the Hierarchical LGM to Four
115
Levels
Summary
122
CONTENTS
8.
Growth Mixture Modeling
125
Latent Class Analysis of Dynamic Models
125
Covariance Structure Analysis Mixture Modeling
126
Growth Mixture Modeling
127
Model Specifications
128
Model Estimation
131
Example
8.1:
The Single-Class Growth Curve Model
132
Example
8.2:
Determining Sample Heterogeneity:
135
Multiple-Class Growth Curve Models
Alternative Methods for Estimating the Number of Classes
138
and Parameter Starting Values
Example
8.3:
Including Covariates in the Mixture Modeling
141
Framework
Example
8.4:
Including Mixture Indicators
143
Summary
147
9.
Piecewise and Pooled Interrupted Time Series LGMs
151
Example
9.1:
Piecewise Models
153
Example
9.2:
Pooled Interrupted Time Series LGM
157
Example
9.3:
Simple Change LGM
160
Summary
162
10.
Latent Growth Curve Modeling With Categorical Variables
165
Measurement Characteristics of the Ordered Categorical
167
Variable
Growth Modeling With Categorical Outcome Variables
168
Software Implementation
169
Example
10.1:
LGM of Ordered Categorical Outcomes
172
Summary
176
11.
Missing Data Models
179
A Taxonomy of Methods for Partial Missingness
179
A Taxonomy of Missingness
180
Model-Based Approaches to Analyses With Partial
181
Missingness
Example
11.1:
Multiple-Group Analyses Incorporating
184
Missing Data
viii CONTENTS
Example
11.2:
Full Information Maximum Likelihood (FIML)
185
Extensions of the Multiple-Group Approach
Example
11.3:
Multiple Imputation of Missing Data
188
Summary
192
12.
Latent Variable Framework for LGM Power Estimation
195
Power Estimation Within a Latent Variable Framework
196
Example
12.1:
Power Estimation in LGM
198
Example
12.2:
Power Estimation in a Multiple-Population
202
Context
Example
12.3:
Monte Carlo Power Estimation
206
Summary
208
13.
Testing Interaction Effects in LGMs
213
Example
13.1:
The Two-Factor Intercept-Slope Model
214
Summary
220
14.
Summary
225
Advantages of LGM
226
Limitations of LGM
230
Concluding Remarks
231
References
233
Author Index
249
Subject Index
255
About the Authors
261 |
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| id | DE-604.BV022276695 |
| illustrated | Illustrated |
| index_date | 2024-07-02T16:48:05Z |
| indexdate | 2024-07-09T20:53:56Z |
| institution | BVB |
| isbn | 0805855475 0805855467 9780805855470 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-015487076 |
| oclc_num | 266115572 |
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| physical | XII, 261 S. graph. Darst. 1 CD-ROM (12 cm) |
| publishDate | 2006 |
| publishDateSearch | 2006 |
| publishDateSort | 2006 |
| publisher | Erlbaum |
| record_format | marc |
| series2 | Quantitative methodology series |
| spelling | Duncan, Terry E. Verfasser aut An introduction to latent variable growth curve modeling concepts, issues, and applications Terry E. Duncan ; Susan C. Duncan ; Lisa A. Strycker 2. ed. Mahwah, NJ [u.a.] Erlbaum 2006 XII, 261 S. graph. Darst. 1 CD-ROM (12 cm) txt rdacontent n rdamedia nc rdacarrier Quantitative methodology series Hier auch später erschienene, unveränderte Nachdrucke Analyse latenter Strukturen (DE-588)4142341-0 gnd rswk-swf Latente Variable (DE-588)4166860-1 gnd rswk-swf Latente Variable (DE-588)4166860-1 s DE-604 Analyse latenter Strukturen (DE-588)4142341-0 s 1\p DE-604 Duncan, Susan C. Verfasser (DE-588)138920338 aut Strycker, Lisa A. Verfasser aut Digitalisierung UB Bayreuth application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015487076&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Duncan, Terry E. Duncan, Susan C. Strycker, Lisa A. An introduction to latent variable growth curve modeling concepts, issues, and applications Analyse latenter Strukturen (DE-588)4142341-0 gnd Latente Variable (DE-588)4166860-1 gnd |
| subject_GND | (DE-588)4142341-0 (DE-588)4166860-1 |
| title | An introduction to latent variable growth curve modeling concepts, issues, and applications |
| title_auth | An introduction to latent variable growth curve modeling concepts, issues, and applications |
| title_exact_search | An introduction to latent variable growth curve modeling concepts, issues, and applications |
| title_exact_search_txtP | An introduction to latent variable growth curve modeling concepts, issues, and applications |
| title_full | An introduction to latent variable growth curve modeling concepts, issues, and applications Terry E. Duncan ; Susan C. Duncan ; Lisa A. Strycker |
| title_fullStr | An introduction to latent variable growth curve modeling concepts, issues, and applications Terry E. Duncan ; Susan C. Duncan ; Lisa A. Strycker |
| title_full_unstemmed | An introduction to latent variable growth curve modeling concepts, issues, and applications Terry E. Duncan ; Susan C. Duncan ; Lisa A. Strycker |
| title_short | An introduction to latent variable growth curve modeling |
| title_sort | an introduction to latent variable growth curve modeling concepts issues and applications |
| title_sub | concepts, issues, and applications |
| topic | Analyse latenter Strukturen (DE-588)4142341-0 gnd Latente Variable (DE-588)4166860-1 gnd |
| topic_facet | Analyse latenter Strukturen Latente Variable |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015487076&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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