Discrete statistical models with social science applications:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Amsterdam [u.a.]
North-Holland Publ.
1980
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| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Literaturverz.: S. 360 - 370 |
| Physical Description: | XIII, 383 S. graph. Darst. |
| ISBN: | 0444853340 |
Staff View
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| 100 | 1 | |a Andersen, Erling B. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Discrete statistical models with social science applications |c Erling B. Andersen |
| 264 | 1 | |a Amsterdam [u.a.] |b North-Holland Publ. |c 1980 | |
| 300 | |a XIII, 383 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
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| 650 | 2 | |a Modèles statistiques | |
| 650 | 4 | |a Sciences sociales - Méthodes statistiques | |
| 650 | 2 | |a Sciences sociales | |
| 650 | 7 | |a Sociale wetenschappen |2 gtt | |
| 650 | 7 | |a Statistische methoden |2 gtt | |
| 650 | 7 | |a inférence statistique |2 inriac | |
| 650 | 7 | |a modèle statistique |2 inriac | |
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Record in the Search Index
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| adam_text | CONTENTS
Preface vii
Contents xi
Chapter 1. Statistical models 1
1.1. Social data 1
1.2. Examples 2
Chapter 2. Preliminary theory 9
2.1. Basic statistical concepts 9
2.2. Samples 19
2.3. Exponential families 20
2.4. Sufficient statistics 28
2.5. Convex sets and convex functions 28
2.6. The multivariate normal distribution 31
2.7. Limit theorems 37
2.8. Useful continuous distributions 41
2.9. Transformations 45
2.10. Iterative numerical methods 46
2.11. Exercises 51
Chapter 3. Statistical inference 53
3.1. Introduction 53
3.2. Maximum likelihood estimation 54
3.3. Uniqueness of the ML estimator 56
xi
xii CONTENTS
3.4. Asymptotic properties of the ML estimator 64
3.5. Likelihood ratio tests 66
3.6. The asymptotic distribution of the LR test statistic 70
3.7. Testing composite hypotheses 73
3.8. Models with non identically distributed variables 77
3.9. Conditional inference 81
3.10. Exercises 87
Chapter 4. Discrete models 91
4.1. Goodness of fit tests for a multinomial distribution 91
4.2. The parametric multinomial distribution 95
4.3. Tests in the parametric multinomial distribution 100
4.4. The Q test 104
4.5. The binomial distribution 106
4.6. The Poisson distribution 111
4.7. The Pascal distribution 118
4.8. The hypergeometric distribution 126
4.9. Exact tests for discrete distributions 130
4.10. Exact conditional tests 131
4.11. Exercises 135
Chapter 5. Contingency tables 145
5.1. Introduction 145
5.2. Sampling designs 147
5.3. Two way contingency tables 153
5.4. A graphical check of the model structure 161
5.5. Log linear models 162
5.6. Tests for row and column effects 173
5.7. Three way contingency tables 179
5.8. Hypothesis testing in three way contingency tables 183
5.9. Multiple contingency tables 195
5.10. Four way contingency tables 197
5.11. Tests for symmetry 205
5.12. Models with multiplicative interactions 210
5.13. Discriminant analysis 216
5.14. Exercises 220
CONTENTS xiii
Chapter 6. Latent structure models 235
6.1. Psychometric models 235
6.2. Conditional and unconditional inference methods 237
6.3. Models for the item characteristic curve 240
6.4. Logistic item characteristic curves 242
6.5. Estimation of item difficulties 245
6.6. Checking of the model 251
6.7. Latent class models 259
6.8. Estimation of individual parameters 263
6.9. Selecting a good test 268
6.10. Multiple choice questionnaires 272
6.11. Checking the model for multiple choice questionnaires 278
6.12. Exercises 284
Chapter 7. Discrete time models 293
7.1. Stochastic processes 293
7.2. Markov chains 295
7.3. Examples of Markov chains 303
7.4. Demographic models 305
7.5. Markov processes 312
7.6. The birth and death process 318
7.7. Statistical inference in Markov chains 323
7.8. Inference for the marginal distribution 330
7.9. Exercises 333
Chapter 8. Some special models 342
8.1. Models for paired comparisons 342
8.2. Logistic bio assay models 347
8.3. Binary regression 354
8.4. Exercises 356
Bibliography 360
Subject index 371
Author index 381
|
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| indexdate | 2024-07-09T15:43:36Z |
| institution | BVB |
| isbn | 0444853340 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001510616 |
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| physical | XIII, 383 S. graph. Darst. |
| publishDate | 1980 |
| publishDateSearch | 1980 |
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| publisher | North-Holland Publ. |
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| spelling | Andersen, Erling B. Verfasser aut Discrete statistical models with social science applications Erling B. Andersen Amsterdam [u.a.] North-Holland Publ. 1980 XIII, 383 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Literaturverz.: S. 360 - 370 MODELE DISCRET inriac Modèles statistiques Sciences sociales - Méthodes statistiques Sciences sociales Sociale wetenschappen gtt Statistische methoden gtt inférence statistique inriac modèle statistique inriac table contigence inriac Sozialwissenschaften Social sciences Statistical methods Statistik (DE-588)4056995-0 gnd rswk-swf Sozialwissenschaften (DE-588)4055916-6 gnd rswk-swf Statistik (DE-588)4056995-0 s Sozialwissenschaften (DE-588)4055916-6 s DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001510616&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Andersen, Erling B. Discrete statistical models with social science applications MODELE DISCRET inriac Modèles statistiques Sciences sociales - Méthodes statistiques Sciences sociales Sociale wetenschappen gtt Statistische methoden gtt inférence statistique inriac modèle statistique inriac table contigence inriac Sozialwissenschaften Social sciences Statistical methods Statistik (DE-588)4056995-0 gnd Sozialwissenschaften (DE-588)4055916-6 gnd |
| subject_GND | (DE-588)4056995-0 (DE-588)4055916-6 |
| title | Discrete statistical models with social science applications |
| title_auth | Discrete statistical models with social science applications |
| title_exact_search | Discrete statistical models with social science applications |
| title_full | Discrete statistical models with social science applications Erling B. Andersen |
| title_fullStr | Discrete statistical models with social science applications Erling B. Andersen |
| title_full_unstemmed | Discrete statistical models with social science applications Erling B. Andersen |
| title_short | Discrete statistical models with social science applications |
| title_sort | discrete statistical models with social science applications |
| topic | MODELE DISCRET inriac Modèles statistiques Sciences sociales - Méthodes statistiques Sciences sociales Sociale wetenschappen gtt Statistische methoden gtt inférence statistique inriac modèle statistique inriac table contigence inriac Sozialwissenschaften Social sciences Statistical methods Statistik (DE-588)4056995-0 gnd Sozialwissenschaften (DE-588)4055916-6 gnd |
| topic_facet | MODELE DISCRET Modèles statistiques Sciences sociales - Méthodes statistiques Sciences sociales Sociale wetenschappen Statistische methoden inférence statistique modèle statistique table contigence Sozialwissenschaften Social sciences Statistical methods Statistik |
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