Marginal models: for dependent, clustered, and longitudinal categorical data
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| Main Authors: | , , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New York, NY
Springer
2009
|
| Series: | Statistics for social and behavioral sciences
|
| Subjects: | |
| Online Access: | Inhaltstext Inhaltsverzeichnis |
| Physical Description: | XI, 268 S. graph. Darst. 235 mm x 155 mm |
| ISBN: | 9780387096094 |
Staff View
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Record in the Search Index
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| adam_text |
Contents
1
Introduction
. 1
1.1
Marginal
Models
for Categorical Data
. 1
1.2
Historical and Comparable Approaches
. 5
1.3
Coefficients for the Comparison of Marginal Distributions
. 9
1.3.1
Measuring Differences in Location
. 9
1.3.2
Measuring Differences in Dispersion
. 13
1.3.3
Measuring Association
. 16
1.3.4
Measuring Agreement
. 20
2 Loglinear
Marginal Models
. 23
2.1
Ordinary
Loglinear
Models
. 23
2.1.1
Basic Concepts and Notation
. 23
2.1.2
Modeling Association Among Three Variables
. 30
2.2
Applications of
Loglinear
Marginal Models
. 34
2.2.1
Research Questions and Designs Requiring Marginal Models
34
2.2.2
Comparing One Variable Distributions
. 36
2.2.3
More Complex Designs and Research Questions
. 42
2.3
Maximum Likelihood Inference for
Loglinear
Marginal Models
. 51
2.3.1
Sampling Methods
. 51
2.3.2
Specifying
Loglinear
Marginal Models by Constraining
the Cell Probabilities
. 52
2.3.3
Simultaneous Modeling of Joint and Marginal
Distributions: Redundancy, Incompatibility and Other Issues
61
2.3.4
***Maximum Likelihood Estimates of Constrained Cell
Probabilities
. 65
2.3.5
***A Numerical Algorithm for ML Estimation
. 67
2.3.6
***Efficient Computation of ML Estimates
for Simultaneous Joint and Marginal Models
. 70
2.3.7
***Large Sample Distribution of ML estimates
. 71
2.3.8
Model Evaluation
. 73
χ
Contents
3 Nonloglinear
Marginal
Models. 75
3.1
Comparing Item Characteristics for Different Measurement Levels
. 75
3.1.1
Interval Level of Measurement
. 76
3.1.2
Ordinal Level of Measurement
. 79
3.1.3
Nominal Level of Measurement
. 82
3.2
Comparing Associations
. 83
3.3
Maximum Likelihood Estimation
. 86
3.3.1
Generalized exp-log Specification of Nonloglinear
Marginal Models
. 86
3.3.2
Compatibility and Redundancy of Restrictions
. 93
3.3.3
Homogeneous Specification of Coefficients
. 93
3.3.4
***Algorithm for Maximum Likelihood Estimation
. 94
3.3.5
***Asymptotic Distribution of ML Estimates
. 95
4
Marginal Analysis of Longitudinal Data
. 97
4.1
Trend Data
. 99
4.1.1
Comparing Net Changes in More Than One Characteristic
. 99
4.1.2
Simultaneous Tests for Restrictions on Association and Net
Change: Modeling Joint and Marginal Tables
. 102
4.2
Panel Data: Investigating Net Changes in One Characteristic
. 104
4.2.1
Overall Net Changes; Cumulative Proportions; Growth
Curves
. 104
4.2.2
Subgroup Comparisons of Net Changes
. 115
4.2.3
Changes in Associations
. 118
4.3
Gross Changes in One Characteristic
. 120
4.3.1
Comparing Turnover Tables for Different Periods
. 120
4.3.2
Comparing Summary Measures of Gross Change
. 126
4.3.3
Extensions; Net Plus Gross Changes; Multiway Turnover
Tables; Subgroup Comparisons
. 129
4.4
Net and Gross Changes in Two Related Characteristics
. 130
4.4.1
Net Changes in Two Characteristics
. 131
4.4.2
Changes in Association Between Two Changing
Characteristics
. 136
4.4.3
Gross Changes in Two Characteristics
. 140
4.4.4
Combining Hypotheses about Net and Gross Changes
. 147
4.5
Minimally Specified Models for Comparing Tables
with Overlapping Marginals; Detection of Problematic Models
. 148
5
Causal Analyses: Structural Equation Models
and (Quasi-)Experimental Designs
.155
5.1
SEMs
-
Structural Equation Models
. 156
5.1.1
SEMs for Categorical Data
. 156
5.1.2
An Example: Women's Role
. 160
5.1.3
Marginal Modeling and Categorical
SEM. 165
5.2
Analysis of (Quasi-)Experimental Data
. 172
Contents xi
5.2.1
The One-group
Pretest-Posttest
Design
. 173
5.2.2
The
Nonequivalent
Control Group Design
. 175
5.2.3
A Truly Experimental Design
. 182
6
Marginal Modeling with Latent Variables
.191
6.1
Latent Class Models
. 191
6.2
Latent Marginal Homogeneity
. 196
6.3 Loglinear
and Nonloglinear Latent Class Models: Equal Reliabilities
198
6.3.1
Restrictions on Conditional Response Probabilities
. 199
6.3.2
Restrictions on Odds Ratios
. 201
6.3.3
Restrictions on Percentage Differences
. 204
6.3.4
Restrictions on Agreement
. 206
6.4
Marginal causal analyses
. 207
6.4.1
SEMs with latent marginal homogeneity
. 207
6.4.2
Latent Variable SEMs for Clustered Data
. 209
6.5
Estimation of Marginal Models with Latent Variables
Using the EM Algorithm
. 212
6.5.1
Basic EM Algorithm
. 213
6.5.2
***General EM for Marginal Models
. 215
6.5.3
***MarginaI Restrictions in Combination with
a
Loglinear
Model for the Complete Table
. 217
6.5.4
***Speeding up of the EM Algorithm for Separable Models
218
6.5.5
***Asymptotic Distribution of ML Estimates
. 219
7
Conclusions, Extensions, and Applications
.223
7.1
Marginal Models for Continuous Variables
. 224
7.1.1
Changes in Means
. 224
7.1.2
Changes in Correlation and Regression Coefficients
. 226
7.2
Alternative Procedures and Models
. 228
7.2.1
Alternative Estimation Procedures: WLS and GEE
. 228
7.2.2
Modeling Dependent Observations: Marginal, Random
Effects, and Fixed Effects Models
. 230
7.3
Specific Applications
. 236
7.3.1
Multiple Responses
. 237
7.3.2
Categorical Dyadic Data
. 238
7.3.3
Mokken
Scale Analysis
. 241
7.4
Problems and Future Developments
. 242
7.5
Software, Generalized exp-log Routines, and Website
. 244
References
.247
Author Index
.259
Subject Index
.263 |
| any_adam_object | 1 |
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| author_facet | Bergsma, Wicher P. Croon, Marcel A. Hagenaars, Jacques A. |
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| author_sort | Bergsma, Wicher P. |
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| dewey-ones | 300 - Social sciences |
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| discipline | Soziologie Mathematik Wirtschaftswissenschaften |
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| publishDate | 2009 |
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| spelling | Bergsma, Wicher P. Verfasser aut Marginal models for dependent, clustered, and longitudinal categorical data Wicher Bergsma ; Marcel Croon ; Jacques A. Hagenaars New York, NY Springer 2009 XI, 268 S. graph. Darst. 235 mm x 155 mm txt rdacontent n rdamedia nc rdacarrier Statistics for social and behavioral sciences Kausalanalyse stw Kwalitatieve gegevens gtt Modell-Spezifikation stw Qualitatives Verfahren stw Schätztheorie stw Statistische Methode stw Statistische modellen gtt Zeitreihenanalyse stw Schätztheorie (DE-588)4121608-8 gnd rswk-swf Marginalanalyse (DE-588)4214278-7 gnd rswk-swf Marginalanalyse (DE-588)4214278-7 s Schätztheorie (DE-588)4121608-8 s DE-604 Croon, Marcel A. Verfasser aut Hagenaars, Jacques A. Verfasser aut Erscheint auch als Online-Ausgabe 978-0-387-09610-0 text/html http://deposit.dnb.de/cgi-bin/dokserv?id=3168651&prov=M&dok_var=1&dok_ext=htm Inhaltstext Digitalisierung UB Bamberg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018004417&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Bergsma, Wicher P. Croon, Marcel A. Hagenaars, Jacques A. Marginal models for dependent, clustered, and longitudinal categorical data Kausalanalyse stw Kwalitatieve gegevens gtt Modell-Spezifikation stw Qualitatives Verfahren stw Schätztheorie stw Statistische Methode stw Statistische modellen gtt Zeitreihenanalyse stw Schätztheorie (DE-588)4121608-8 gnd Marginalanalyse (DE-588)4214278-7 gnd |
| subject_GND | (DE-588)4121608-8 (DE-588)4214278-7 |
| title | Marginal models for dependent, clustered, and longitudinal categorical data |
| title_auth | Marginal models for dependent, clustered, and longitudinal categorical data |
| title_exact_search | Marginal models for dependent, clustered, and longitudinal categorical data |
| title_full | Marginal models for dependent, clustered, and longitudinal categorical data Wicher Bergsma ; Marcel Croon ; Jacques A. Hagenaars |
| title_fullStr | Marginal models for dependent, clustered, and longitudinal categorical data Wicher Bergsma ; Marcel Croon ; Jacques A. Hagenaars |
| title_full_unstemmed | Marginal models for dependent, clustered, and longitudinal categorical data Wicher Bergsma ; Marcel Croon ; Jacques A. Hagenaars |
| title_short | Marginal models |
| title_sort | marginal models for dependent clustered and longitudinal categorical data |
| title_sub | for dependent, clustered, and longitudinal categorical data |
| topic | Kausalanalyse stw Kwalitatieve gegevens gtt Modell-Spezifikation stw Qualitatives Verfahren stw Schätztheorie stw Statistische Methode stw Statistische modellen gtt Zeitreihenanalyse stw Schätztheorie (DE-588)4121608-8 gnd Marginalanalyse (DE-588)4214278-7 gnd |
| topic_facet | Kausalanalyse Kwalitatieve gegevens Modell-Spezifikation Qualitatives Verfahren Schätztheorie Statistische Methode Statistische modellen Zeitreihenanalyse Marginalanalyse |
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