The analysis of cross-classified categorical data:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Cambridge, Mass.
MIT Press
1980
|
| Ausgabe: | 2. ed. |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XIV, 198 S. |
| ISBN: | 026206071X |
Internformat
MARC
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| 100 | 1 | |a Fienberg, Stephen E. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a The analysis of cross-classified categorical data |
| 250 | |a 2. ed. | ||
| 264 | 1 | |a Cambridge, Mass. |b MIT Press |c 1980 | |
| 300 | |a XIV, 198 S. | ||
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| 650 | 7 | |a Dados Categoricos |2 larpcal | |
| 650 | 7 | |a Kruistabellen |2 gtt | |
| 650 | 7 | |a Loglineaire modellen |2 gtt | |
| 650 | 4 | |a Modèles log-linéaires | |
| 650 | 4 | |a Tableaux de contingence | |
| 650 | 4 | |a Contingency tables | |
| 650 | 4 | |a Log-linear models | |
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Datensatz im Suchindex
| _version_ | 1804121853200957440 |
|---|---|
| adam_text | Contents
Preface to the First Edition xi
Preface to the Second Edition xiii
1 Introduction 1
1.1 The Analysis of Categorical Data 1
1.2 Forms of Multivariate Analysis 2
1.3 Some Historical Background 4
1.4 A Medical Example 6
Z Two-Dimensional Tables 8
2.1 Two Binomials 8
2.2 The Model of Independence 10
2.3 The Loglinear Model 13
2.4 Sampling Models 15
2.5 The Cross-Product Ratio and 2x2 Tables 16
2.6 Interrelated Two-Dimensional Tables 20
2.7 Correction for Continuity 21
2.8 Other Scales for Analyzing Two-Dimensional Tables 22
Problems 23
3 Three-Dimensional Tables 27
3.1 The General Loglinear Model 27
3.2 Sampling Models 29
3.3 Estimated Expected Values 32
3.4 Iterative Computation of Expected Values 37
3.5 Goodness-of-Fit Statistics 40
3.6 Hierarchical Models 43
3.7 A Further Example 44
3.8 Collapsing Tables 48
Problems 51
4 Selection of a Model 56
4.1 General Issues 56
4.2 Conditional Test Statistics 56
4.3 Partitioning Chi-Square 57
4.4 Using Information about Ordered Categories 61
Problems 68
viii Contents
J Four- and Higher-Dimensional Contingency Tables 71
5.1 The Loglinear Models and MLEs for Expected Values 71
5.2 Using Partitioning to Select a Model 74
5.3 Stepwise Selection Procedures 77
5.4 Looking at All Possible Effects 80
Problems 88
O Fixed Margins and Logit Models 95
6.1 A Three-Dimensional Example 95
6.2 Logit Models 97
6.3 Logit Models and Ordered Categories 99
6.4 Linear Logistic Response Models 102
6.5 Logistic Regression vs. Discriminant Analysis 105
6.6 Polytomous and Multivariate Response Variables 110
Problems 116
/ Causal Analysis Involving Logit and Loglinear Models 120
7.1 Path Diagrams 120
7.2 Recursive Systems of Logit Models 123
7.3 Recursive Systems: A More Complex Example 129
7.4 Nonrecursive Systems of Logit Models 133
7.5 Retrospective Epidemiological Studies 135
7.6 Logistic Models for Retrospective Data 137
Problems 138
O Fixed and Random Zeros 140
8.1 Sampling Zeros and MLEs in Loglinear Models 140
8.2 Incomplete Two-Dimensional Contingency Tables 142
8.3 Incompleteness in Several Dimensions 146
8.4 Some Applications of Incomplete Table Methodology 150
Problems 159
Appendix I Statistical Terminology 165
Appendix 11 Basic Estimation Results for Loglinear Models 167
Appendix III Percentage Points of %2 Distribution 171
Appendix IV Small-Sample Properties of %2 Statistics 172
Contents jx
References 177
Author Index 191
Subject Index 195
|
| any_adam_object | 1 |
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| author_role | aut |
| author_sort | Fienberg, Stephen E. |
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| bvnumber | BV007553567 |
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| callnumber-subject | QA - Mathematics |
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| ctrlnum | (OCoLC)5946628 (DE-599)BVBBV007553567 |
| dewey-full | 519.5/3 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 519 - Probabilities and applied mathematics |
| dewey-raw | 519.5/3 |
| dewey-search | 519.5/3 |
| dewey-sort | 3519.5 13 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik Wirtschaftswissenschaften |
| edition | 2. ed. |
| format | Book |
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| id | DE-604.BV007553567 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T17:04:35Z |
| institution | BVB |
| isbn | 026206071X |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-004925002 |
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| physical | XIV, 198 S. |
| publishDate | 1980 |
| publishDateSearch | 1980 |
| publishDateSort | 1980 |
| publisher | MIT Press |
| record_format | marc |
| spelling | Fienberg, Stephen E. Verfasser aut The analysis of cross-classified categorical data 2. ed. Cambridge, Mass. MIT Press 1980 XIV, 198 S. txt rdacontent n rdamedia nc rdacarrier Analyse multivariée Dados Categoricos larpcal Kruistabellen gtt Loglineaire modellen gtt Modèles log-linéaires Tableaux de contingence Contingency tables Log-linear models Multivariate analysis Korrelation (DE-588)4165343-9 gnd rswk-swf Multivariate Analyse (DE-588)4040708-1 gnd rswk-swf Log-lineares Modell (DE-588)4036197-4 gnd rswk-swf Korrespondenzanalyse (DE-588)4237563-0 gnd rswk-swf Regressionsanalyse (DE-588)4129903-6 gnd rswk-swf Kreuzklassifikation Statistik (DE-588)4570884-8 gnd rswk-swf Multivariate Analyse (DE-588)4040708-1 s Regressionsanalyse (DE-588)4129903-6 s Korrelation (DE-588)4165343-9 s DE-604 Korrespondenzanalyse (DE-588)4237563-0 s Kreuzklassifikation Statistik (DE-588)4570884-8 s Log-lineares Modell (DE-588)4036197-4 s 1\p DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=004925002&sequence=000002&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 | Fienberg, Stephen E. The analysis of cross-classified categorical data Analyse multivariée Dados Categoricos larpcal Kruistabellen gtt Loglineaire modellen gtt Modèles log-linéaires Tableaux de contingence Contingency tables Log-linear models Multivariate analysis Korrelation (DE-588)4165343-9 gnd Multivariate Analyse (DE-588)4040708-1 gnd Log-lineares Modell (DE-588)4036197-4 gnd Korrespondenzanalyse (DE-588)4237563-0 gnd Regressionsanalyse (DE-588)4129903-6 gnd Kreuzklassifikation Statistik (DE-588)4570884-8 gnd |
| subject_GND | (DE-588)4165343-9 (DE-588)4040708-1 (DE-588)4036197-4 (DE-588)4237563-0 (DE-588)4129903-6 (DE-588)4570884-8 |
| title | The analysis of cross-classified categorical data |
| title_auth | The analysis of cross-classified categorical data |
| title_exact_search | The analysis of cross-classified categorical data |
| title_full | The analysis of cross-classified categorical data |
| title_fullStr | The analysis of cross-classified categorical data |
| title_full_unstemmed | The analysis of cross-classified categorical data |
| title_short | The analysis of cross-classified categorical data |
| title_sort | the analysis of cross classified categorical data |
| topic | Analyse multivariée Dados Categoricos larpcal Kruistabellen gtt Loglineaire modellen gtt Modèles log-linéaires Tableaux de contingence Contingency tables Log-linear models Multivariate analysis Korrelation (DE-588)4165343-9 gnd Multivariate Analyse (DE-588)4040708-1 gnd Log-lineares Modell (DE-588)4036197-4 gnd Korrespondenzanalyse (DE-588)4237563-0 gnd Regressionsanalyse (DE-588)4129903-6 gnd Kreuzklassifikation Statistik (DE-588)4570884-8 gnd |
| topic_facet | Analyse multivariée Dados Categoricos Kruistabellen Loglineaire modellen Modèles log-linéaires Tableaux de contingence Contingency tables Log-linear models Multivariate analysis Korrelation Multivariate Analyse Log-lineares Modell Korrespondenzanalyse Regressionsanalyse Kreuzklassifikation Statistik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=004925002&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT fienbergstephene theanalysisofcrossclassifiedcategoricaldata |