The analysis of cross-classified categorical data:
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | Buch |
| Sprache: | Nichtbestimmte Sprache |
| Veröffentlicht: |
Cambridge, Mass.
MIT Press
1980
|
| Ausgabe: | 2. ed. |
| Schlagwörter: | |
| Links: | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=005612356&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| Umfang: | X, 151 S. graph. Darst. |
| ISBN: | 0262060639 |
Internformat
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| 245 | 1 | 0 | |a The analysis of cross-classified categorical data |
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Datensatz im Suchindex
| DE-BY-TUM_call_number | 0102 MAT 627f 2005 A 3729 |
|---|---|
| DE-BY-TUM_katkey | 1508565 |
| DE-BY-TUM_location | 01 |
| DE-BY-TUM_media_number | 040020051170 |
| _version_ | 1821933290872897536 |
| 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 |
| author | Fienberg, Stephen E. |
| author_facet | Fienberg, Stephen E. |
| author_role | aut |
| author_sort | Fienberg, Stephen E. |
| author_variant | s e f se sef |
| building | Verbundindex |
| bvnumber | BV008538198 |
| classification_rvk | MR 2100 |
| classification_tum | MAT 627f |
| ctrlnum | (OCoLC)633919874 (DE-599)BVBBV008538198 |
| discipline | Soziologie Mathematik |
| edition | 2. ed. |
| format | Book |
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| id | DE-604.BV008538198 |
| illustrated | Illustrated |
| indexdate | 2024-12-20T09:22:44Z |
| institution | BVB |
| isbn | 0262060639 |
| language | Undetermined |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-005612356 |
| oclc_num | 633919874 |
| open_access_boolean | |
| owner | DE-91G DE-BY-TUM DE-83 |
| owner_facet | DE-91G DE-BY-TUM DE-83 |
| physical | X, 151 S. graph. Darst. |
| psigel | TUB-nvmb |
| publishDate | 1980 |
| publishDateSearch | 1980 |
| publishDateSort | 1980 |
| publisher | MIT Press |
| record_format | marc |
| spellingShingle | Fienberg, Stephen E. The analysis of cross-classified categorical data Korrespondenzanalyse (DE-588)4237563-0 gnd Kreuzklassifikation Statistik (DE-588)4570884-8 gnd Korrelation (DE-588)4165343-9 gnd Regressionsanalyse (DE-588)4129903-6 gnd Multivariate Analyse (DE-588)4040708-1 gnd Log-lineares Modell (DE-588)4036197-4 gnd |
| subject_GND | (DE-588)4237563-0 (DE-588)4570884-8 (DE-588)4165343-9 (DE-588)4129903-6 (DE-588)4040708-1 (DE-588)4036197-4 |
| 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 | Korrespondenzanalyse (DE-588)4237563-0 gnd Kreuzklassifikation Statistik (DE-588)4570884-8 gnd Korrelation (DE-588)4165343-9 gnd Regressionsanalyse (DE-588)4129903-6 gnd Multivariate Analyse (DE-588)4040708-1 gnd Log-lineares Modell (DE-588)4036197-4 gnd |
| topic_facet | Korrespondenzanalyse Kreuzklassifikation Statistik Korrelation Regressionsanalyse Multivariate Analyse Log-lineares Modell |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=005612356&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT fienbergstephene theanalysisofcrossclassifiedcategoricaldata |
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Teilbibliothek Mathematik & Informatik
| Signatur: |
0102 MAT 627f 2005 A 3729 Lageplan |
|---|---|
| Exemplar 1 | Ausleihbar Am Standort |