Multivariate dependencies: models, analysis and interpretation
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
London [u.a.]
Chapman & Hall
1996
|
| Edition: | 1. ed. |
| Series: | Monographs on statistics and applied probability
67 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XII, 255 S. graph. Darst. |
| ISBN: | 041275410X |
Staff View
MARC
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| 100 | 1 | |a Cox, David R. |d 1924-2022 |e Verfasser |0 (DE-588)119013169 |4 aut | |
| 245 | 1 | 0 | |a Multivariate dependencies |b models, analysis and interpretation |c D. R. Cox ; Nanny Wermuth |
| 250 | |a 1. ed. | ||
| 264 | 1 | |a London [u.a.] |b Chapman & Hall |c 1996 | |
| 300 | |a XII, 255 S. |b graph. Darst. | ||
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| 650 | 7 | |a Analyse multivariée |2 ram | |
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Record in the Search Index
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| adam_text | Contents
Preface xi
1 Introduction 1
1.1 Preliminaries 1
1.2 Types of investigation 1
1.3 Types of variable 3
1.4 Interaction 8
1.5 Purposes of analysis 10
1.6 Nature of models 11
1.6.1 Some simple models 11
1.6.2 Types of model 14
1.6.3 Broad aspects of models 15
1.7 Examination of data quality 17
1.8 Criteria for models 18
1.9 Model selection and development 20
1.9.1 General issues 20
1.9.2 Default analysis 20
1.10 Bibliographic notes 22
2 Aspects of interpretation 25
2.1 Preliminaries 25
2.2 Some terminology 27
2.3 Types of graph 30
2.4 Some more specialized properties 36
2.4.1 General remarks 36
2.4.2 Some Markov properties 36
2.4.3 Relation between concentration and covari
ance graphs 37
viii CONTENTS
2.4.4 Derivation of concentration and covariance
graphs 38
2.4.5 Markov property of joint response chain
graphs 39
2.4.6 Decomposability of independence hypotheses 41
2.4.7 Equivalence of independence structures in
joint response chain graphs 42
2.5 Hidden variables 43
2.6 A general formulation 44
2.7 Interpretation of regression coefficients 45
2.8 Nonspecific variables and the ecological issue 49
2.9 Complex nature of variability 51
2.10 Examination of the adequacy of models 52
2.11 Some complications 55
2.12 Causality 57
2.13 Bibliographic notes 58
3 Technical considerations 61
3.1 Preliminaries 61
3.2 Covariance matrix 61
3.2.1 Some definitions 61
3.2.2 Linear least squares regression 63
3.3 Multivariate normal distribution 67
3.4 Concentration matrix 68
3.5 Special matrices 71
3.6 Binary data 73
3.7 Multivariate binary data 78
3.8 Nominal variables 81
3.9 Ordinal variables 83
3.10 Mixed variables 86
3.11 A special kind of continuous data 88
3.12 Bibliographic notes 91
4 Statistical analysis 93
4.1 Preliminaries 93
4.2 Method of least squares 93
4.2.1 Formulation 93
4.2.2 Least squares estimates 95
4.2.3 Properties of estimates 95
4.2.4 Testing model adequacy 97
4.2.5 Weighted and generalized least squares 98
CONTENTS ix
4.2.6 Multivariate linear model 100
4.3 Maximum likelihood analysis 102
4.3.1 Introduction 102
4.3.2 Description of method 102
4.3.3 Some special cases 105
4.3.4 Likelihood ratio tests and profile likelihood 110
4.3.5 Calculation of maximum likelihood estimates 111
4.3.6 Some difficulties 113
4.4 Testing model adequacy 115
4.5 Presentation of regression analyses 115
4.6 Bibliographic notes 121
5 Special methods for joint responses 123
5.1 Preliminaries 123
5.2 Joint response regression: some saturated models 124
5.3 Two nondecomposable independence hypotheses 128
5.3.1 Preliminaries 128
5.3.2 Seemingly unrelated regressions 129
5.3.3 Covariance selection model 130
5.3.4 Binary variables 131
5.4 Analysis of joint response chain models 133
5.5 Bibliographic notes 133
6 Some specific applications 135
6.1 Preliminaries 135
6.2 Glucose control 135
6.3 Determinants of university drop out 142
6.4 Disturbances in child development 151
6.5 Treatment of chronic pain 161
6.6 Bibliographic notes 169
7 Some strategical aspects 171
7.1 Preliminaries 171
7.2 Phases of analysis 172
7.3 An outline strategy 173
7.4 Role of parsimony 176
7.5 More formal issues 177
7.5.1 General remarks 177
7.5.2 Predicting the results of fitting other models 178
7.6 Formal techniques 179
7.7 Significance tests compared with other criteria 180
x CONTENTS
7.8 Tests of goodness of fit 181
7.9 Multiple use of tests 181
7.10 Conclusion 182
7.11 Bibliographic notes 183
8 Some more specialized topics 185
8.1 Preliminaries 185
8.2 Derived variables 185
8.3 Hidden variables 190
8.4 Linear structural equations 194
8.5 Implications of generating processes 196
8.5.1 Preliminaries 196
8.5.2 Some distributional aspects 198
8.5.3 Simple correlation inducing paths 200
8.5.4 Induced covariance and concentration graphs 202
8.5.5 Simple summary graphs 204
8.5.6 Derivation of general summary graph 207
8.5.7 Explanations for induced edges 212
8.5.8 Criteria for induced relations in summary
graphs 214
8.5.9 Reduction of summary graph 215
8.6 Missing values 218
8.7 Causality 219
8.8 Bibliographic notes 227
Appendix 229
References 231
List of figures 239
List of tables 243
Author index 245
Subject index 248
|
| any_adam_object | 1 |
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| dewey-ones | 519 - Probabilities and applied mathematics |
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| dewey-search | 519.5/35 21 519.535 |
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik Wirtschaftswissenschaften |
| edition | 1. ed. |
| format | Book |
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| id | DE-604.BV010787373 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T17:58:54Z |
| institution | BVB |
| isbn | 041275410X |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007205793 |
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| physical | XII, 255 S. graph. Darst. |
| publishDate | 1996 |
| publishDateSearch | 1996 |
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| publisher | Chapman & Hall |
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| series | Monographs on statistics and applied probability |
| series2 | Monographs on statistics and applied probability |
| spelling | Cox, David R. 1924-2022 Verfasser (DE-588)119013169 aut Multivariate dependencies models, analysis and interpretation D. R. Cox ; Nanny Wermuth 1. ed. London [u.a.] Chapman & Hall 1996 XII, 255 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Monographs on statistics and applied probability 67 Analyse multivariée ram Multivariate analyse gtt Variables (Mathématiques) ram Multivariate analysis Multivariate Analyse (DE-588)4040708-1 gnd rswk-swf Multivariate Analyse (DE-588)4040708-1 s DE-604 Wermuth, Nanny 1943- Verfasser (DE-588)132409607 aut Monographs on statistics and applied probability 67 (DE-604)BV002494005 67 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007205793&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Cox, David R. 1924-2022 Wermuth, Nanny 1943- Multivariate dependencies models, analysis and interpretation Monographs on statistics and applied probability Analyse multivariée ram Multivariate analyse gtt Variables (Mathématiques) ram Multivariate analysis Multivariate Analyse (DE-588)4040708-1 gnd |
| subject_GND | (DE-588)4040708-1 |
| title | Multivariate dependencies models, analysis and interpretation |
| title_auth | Multivariate dependencies models, analysis and interpretation |
| title_exact_search | Multivariate dependencies models, analysis and interpretation |
| title_full | Multivariate dependencies models, analysis and interpretation D. R. Cox ; Nanny Wermuth |
| title_fullStr | Multivariate dependencies models, analysis and interpretation D. R. Cox ; Nanny Wermuth |
| title_full_unstemmed | Multivariate dependencies models, analysis and interpretation D. R. Cox ; Nanny Wermuth |
| title_short | Multivariate dependencies |
| title_sort | multivariate dependencies models analysis and interpretation |
| title_sub | models, analysis and interpretation |
| topic | Analyse multivariée ram Multivariate analyse gtt Variables (Mathématiques) ram Multivariate analysis Multivariate Analyse (DE-588)4040708-1 gnd |
| topic_facet | Analyse multivariée Multivariate analyse Variables (Mathématiques) Multivariate analysis Multivariate Analyse |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007205793&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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