Latent structure analysis:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Boston [u.a.]
Houghton Mifflin
1968
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | IX, 294 S. |
Staff View
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| 245 | 1 | 0 | |a Latent structure analysis |c Paul F. Lazarsfeld ; Neil W. Henry |
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Record in the Search Index
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| adam_text | Contents
1
History and Synopsis 1
1. Introduction 1
2. Some Historical Comments 3
3. The Development of Latent Structure Analysis 7
4. The Plan of the Present Volume 9
2
Basic Concepts of Latent Structure Analysis 15
1. Introduction 15
2. The Latent Dichotomy: Definition 17
3. The Accounting Equations and Their Solutions 23
4. Recruitment Probabilities 36
5. The Problem of Fitting Real Data 39
6. Summary 44
Exercises 45
3
General Latent Class Models 46
1. Specifying the Model 46
2. Combining the Accounting Equations in Matrix Form 48
3. A Solution of the Accounting Equations 52
4. Identification of a Model 59
5. Classification of Respondents 68
vii
CONTENTS
4
The Latent Class Model: Estimation of Parameters 71
1. Estimation Involving the Solution of Chapter 3 71
2. Some Statistical Theory 78
3. Some Examples and Experiments 81
4. Defining a Best Estimate : Minimum x2 and
Maximum Likelihood 99
5. An Approximate Method of Estimation 105
6. Estimation by Partitioning Methods 120
5
The Problem of Ordered Classes 122
1. Ordering Latent Classes 122
2. The Latent Distance Model 123
3. An Application of the Latent Distance Model 142
4. Located Classes 148
6
Latent Structure Models with Continuous Latent Space: I 157
1. Continuous Latent Variables 157
2. The Latent Content Model 160
3. A Solution for the Latent Content Model 168
4. Examples, and the Analysis of Real Data 181
5. Some Special Cases, and a Generalization 191
7
Latent Structure Models with Continuous Latent Space: II 197
1. Polynomial Traceline Models 197
2. Special Cases of Polynomial Tracelines 206
3. Conditions of Reducibility 211
4. Test Theory Models 217
8
More General Models 226
1. Items with More than Two Discrete Responses 226
2. The Latent Profile Model 228
3. An Empirical Example of Latent Profile Analysis 233
viii
CONTENTS
4. Further Analysis of the Latent Profile Model 235
5. Recruitment Probabilities in the Latent Profile Model 238
6. Models Having Continuous Latent Spaces 239
9
Latent Class Models for Repeated Behavior 245
1. Markov Chains 245
2. Latent Classes: A Mixture of Independent Processes 247
3. The Latent Markov Chain Model 252
Appendix A: Matrix Algebra 264
1. Definitions 264
2. Determinants, and the Rank of a Matrix 267
3. Characteristic Roots and Vectors of a Matrix 271
Appendix B: Large Sample Distribution Theory for Estimates
of the Parameters of a Latent Class Model
by T. W. Anderson 273
1. Introduction 273
2. The Asymptotic Normal Distribution of
Sample Response Proportions 273
3. The Asymptotic Theory of the Estimates 275
4. Simplification of Formulas 283
5. Asymptotic Distributions of Sample Unstratified
Determinants and Discriminants 285
Notes 287
Bibliography 288
Index 293
ix
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| author | Lazarsfeld, Paul Felix 1901-1976 Henry, Neil W. |
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| indexdate | 2024-07-09T15:37:10Z |
| institution | BVB |
| language | English |
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| physical | IX, 294 S. |
| psigel | TUB-nvmb |
| publishDate | 1968 |
| publishDateSearch | 1968 |
| publishDateSort | 1968 |
| publisher | Houghton Mifflin |
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| spelling | Lazarsfeld, Paul Felix 1901-1976 Verfasser (DE-588)118726862 aut Latent structure analysis Paul F. Lazarsfeld ; Neil W. Henry Boston [u.a.] Houghton Mifflin 1968 IX, 294 S. txt rdacontent n rdamedia nc rdacarrier Latent structure analysis Strukturanalyse (DE-588)4183787-3 gnd rswk-swf Strukturanalyse (DE-588)4183787-3 s DE-604 Henry, Neil W. Verfasser aut HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001248635&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Lazarsfeld, Paul Felix 1901-1976 Henry, Neil W. Latent structure analysis Latent structure analysis Strukturanalyse (DE-588)4183787-3 gnd |
| subject_GND | (DE-588)4183787-3 |
| title | Latent structure analysis |
| title_auth | Latent structure analysis |
| title_exact_search | Latent structure analysis |
| title_full | Latent structure analysis Paul F. Lazarsfeld ; Neil W. Henry |
| title_fullStr | Latent structure analysis Paul F. Lazarsfeld ; Neil W. Henry |
| title_full_unstemmed | Latent structure analysis Paul F. Lazarsfeld ; Neil W. Henry |
| title_short | Latent structure analysis |
| title_sort | latent structure analysis |
| topic | Latent structure analysis Strukturanalyse (DE-588)4183787-3 gnd |
| topic_facet | Latent structure analysis Strukturanalyse |
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