Categorical data analysis:
"A classic in its own right, this book continues to provide an introduction to modern generalized linear models for categorical variables. The text emphasizes methods that are most commonly used in practical application, such as classical inferences for two- and three-way contingency tables, lo...
Gespeichert in:
1. Verfasser: | |
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Format: | Buch |
Sprache: | English |
Veröffentlicht: |
Hoboken, NJ
Wiley
2013
|
Ausgabe: | 3. ed. |
Schriftenreihe: | Wiley series in probability and statistics
|
Schlagworte: | |
Online-Zugang: | Inhaltsverzeichnis Inhaltsverzeichnis |
Zusammenfassung: | "A classic in its own right, this book continues to provide an introduction to modern generalized linear models for categorical variables. The text emphasizes methods that are most commonly used in practical application, such as classical inferences for two- and three-way contingency tables, logistic regression, loglinear models, models for multinomial (nominal and ordinal) responses, and methods for repeated measurement and other forms of clustered, correlated response data. Chapter headings remain essentially with the exception of a new one on Bayesian inference for parametric models. Other major changes include an expansion of clustered data, new research on analysis of data sets with robust variables, extensive discussions of ordinal data, more on interpretation, and additional exercises throughout the book. R and SAS are now showcased as the software of choice. An author web site with solutions, commentaries, software programs, and data sets is available"-- |
Beschreibung: | In der mitgedruckten CiP-Aufnahme irrtümlich gezählt als Bd. 792 der Schriftenreihe. - Includes bibliographical references and index |
Beschreibung: | XVI, 714 S. graph. Darst. |
ISBN: | 9780470463635 |
Internformat
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100 | 1 | |a Agresti, Alan |d 1947- |e Verfasser |0 (DE-588)141458062 |4 aut | |
245 | 1 | 0 | |a Categorical data analysis |c Alan Agresti |
250 | |a 3. ed. | ||
264 | 1 | |a Hoboken, NJ |b Wiley |c 2013 | |
300 | |a XVI, 714 S. |b graph. Darst. | ||
336 | |b txt |2 rdacontent | ||
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490 | 0 | |a Wiley series in probability and statistics | |
500 | |a In der mitgedruckten CiP-Aufnahme irrtümlich gezählt als Bd. 792 der Schriftenreihe. - Includes bibliographical references and index | ||
520 | 1 | |a "A classic in its own right, this book continues to provide an introduction to modern generalized linear models for categorical variables. The text emphasizes methods that are most commonly used in practical application, such as classical inferences for two- and three-way contingency tables, logistic regression, loglinear models, models for multinomial (nominal and ordinal) responses, and methods for repeated measurement and other forms of clustered, correlated response data. Chapter headings remain essentially with the exception of a new one on Bayesian inference for parametric models. Other major changes include an expansion of clustered data, new research on analysis of data sets with robust variables, extensive discussions of ordinal data, more on interpretation, and additional exercises throughout the book. R and SAS are now showcased as the software of choice. An author web site with solutions, commentaries, software programs, and data sets is available"-- | |
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Datensatz im Suchindex
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adam_text | Contents
Preface
xiii
1
Introduction: Distributions
and Inference for
Categorical Data
1
1.1
Categorical
Response
Data,
1
1.2
Distributions for Categorical Data,
5
1.3
Statistical Inference for
Categorical Data,
8
1.4
Statistical Inference for Binomial Parameters,
13
1.5
Statistical Inference for Multinomial Parameters,
17
1.6
Bayesian Inference for Binomial and Multinomial Parameters,
22
Notes,
27
Exercises,
28
2
Describing Contingency Tables
37
2.1
Probability Structure for Contingency Tables,
37
2.2
Comparing Two Proportions,
43
2.3
Conditional Association in Stratified
2x2
Tables,
47
2.4
Measuring Association ml
x J
Tables,
54
Notes,
60
Exercises,
60
3
Inference for Two-Way Contingency Tables
69
3.1
Confidence Intervals for Association Parameters,
69
3.2
Testing Independence in Two-way Contingency Tables,
75
3.3
Following-up Chi-Squared Tests,
80
3.4
Two-Way Tables with Ordered Classifications,
86
3.5
Small-Sample Inference for Contingency Tables,
90
3.6
Bayesian Inference for Two-way Contingency Tables,
96
3.7
Extensions for Multiway Tables and Nontabulated Responses,
100
Notes,
101
Exercises,
103
VIU
CONTENTS
4
Introduction
to Generalized Linear Models
113
4.1
The Generalized Linear Model,
113
4.2
Generalized Linear Models for Binary Data,
117
4.3
Generalized Linear Models for Counts and Rates,
122
4.4
Moments and Likelihood for Generalized Linear Models,
130
4.5
Inference and Model Checking for Generalized Linear Models,
136
4.6
Fitting Generalized Linear Models,
143
4.7
Quasi-Likelihood and Generalized Linear Models,
149
Notes,
152
Exercises,
153
5
Logistic Regression
163
5.1
Interpreting Parameters in Logistic Regression,
163
5.2
Inference for Logistic Regression,
169
5.3
Logistic Models with Categorical Predictors,
175
5.4
Multiple Logistic Regression,
182
5.5
Fitting Logistic Regression Models,
192
Notes,
195
Exercises,
196
6
Building, Checking, and Applying Logistic Regression Models
207
6.1
Strategies in Model Selection,
207
6.2
Logistic Regression Diagnostics,
215
6.3
Summarizing the Predictive Power of a Model,
221
6.4
Mantel-Haenszel and Related Methods for Multiple
2x2
Tables,
225
6.5
Detecting and Dealing with Infinite Estimates,
233
6.6
Sample Size and Power Considerations,
237
Notes,
241
Exercises,
243
7
Alternative Modeling of Binary Response Data
251
7.1
Probit
and Complementary Log-log Models,
251
7.2
Bayesian Inference for Binary Regression,
257
7.3
Conditional Logistic Regression,
265
7.4
Smoothing: Kernels, Penalized Likelihood, Generalized
Additive Models,
270
7.5
Issues in Analyzing High-Dimensional Categorical Data,
278
Notes,
285
Exercises,
287
CONTENTS
IX
8 Models
for Multinomial Responses
293
8.1
Nominal Responses: Baseline-Category Logit Models,
293
8.2
Ordinal Responses: Cumulative Logit Models,
301
8.3
Ordinal Responses: Alternative Models,
308
8.4
Testing Conditional Independence in
/
χ / χ Κ
Tables,
314
8.5
Discrete-Choice Models,
320
8.6
Bayesian Modeling of Multinomial Responses,
323
Notes,
326
Exercises,
329
9 Loglinear
Models for Contingency Tables
339
9.1 Loglinear
Models for Two-way Tables,
339
9.2 Loglinear
Models for Independence and Interaction in Three-way
Tables,
342
9.3
Inference for
Loglinear
Models,
348
9.4 Loglinear
Models for Higher Dimensions,
350
9.5 Loglinear—
Logistic Model Connection,
353
9.6 Loglinear
Model Fitting: Likelihood Equations and Asymptotic
Distributions,
356
9.7 Loglinear
Model Fitting: Iterative Methods and Their Application,
364
Notes,
368
Exercises,
369
10
Building and Extending
Loglinear
Models
377
10.1
Conditional Independence Graphs and Collapsibility,
377
10.2
Model Selection and Comparison,
380
10.3
Residuals for Detecting Cell-Specific Lack of Fit,
385
10.4
Modeling Ordinal Associations,
386
10.5
Generalized
Loglinear
and Association Models, Correlation Models,
and Correspondence Analysis,
393
10.6
Empty Cells and Sparseness in Modeling Contingency Tables,
398
10.7
Bayesian
Loglinear
Modeling,
401
Notes,
404
Exercises,
407
11
Models for Matched Pairs
413
11.1
Comparing Dependent Proportions,
414
11.2
Conditional Logistic Regression for Binary Matched Pairs,
418
11.3
Marginal Models for Square Contingency Tables,
424
11.4
Symmetry, Quasi-Symmetry, and Quasi-Independence,
426
χ
CONTENTS
11.5
Measuring Agreement Between Observers,
432
11.6
Bradley-Terry Model for Paired Preferences,
436
11.7
Marginal Models and Quasi-Symmetry Models for Matched Sets,
439
Notes,
443
Exercises,
445
12
Clustered Categorical Data: Marginal and Transitional Models
455
12.1
Marginal Modeling: Maximum Likelihood Approach,
456
12.2
Marginal Modeling: Generalized Estimating Equations (GEEs)
Approach,
462
12.3
Quasi-Likelihood and Its GEE Multivariate Extension: Details,
465
12.4
Transitional Models: Markov Chain and Time Series Models,
473
Notes,
478
Exercises,
479
13
Clustered Categorical Data: Random Effects Models
489
13.1
Random Effects Modeling of Clustered Categorical Data,
489
13.2
Binary Responses: Logistic-Normal Model,
494
13.3
Examples of Random Effects Models for Binary Data,
498
13.4
Random Effects Models for Multinomial Data,
511
13.5
Multilevel Modeling,
515
13.6
GLMM Fitting, Inference, and Prediction,
519
13.7
Bayesian Multivariate Categorical Modeling,
523
Notes,
525
Exercises,
527
14
Other Mixture Models for Discrete Data
535
14.1
Latent Class Models,
535
14.2
Nonparametric Random Effects Models,
542
14.3
Beta-Binomial Models,
548
14.4
Negative Binomial Regression,
552
14.5
Poisson
Regression with Random Effects,
555
Notes,
557
Exercises,
558
15
Non-Model-Based Classification and Clustering
565
15.1
Classification: Linear Discriminant Analysis,
565
15.2
Classification: Tree-Structured Prediction,
570
15.3
Cluster Analysis for Categorical Data,
576
Notes,
581
Exercises,
582
CONTENTS Xl
16
Large- and Small-Sample Theory for Multinomial Models
587
16.1
Delta Method,
587
16.2
Asymptotic Distributions of Estimators of Model Parameters and Cell
Probabilities,
592
16.3
Asymptotic Distributions of Residuals and Goodness-of-fit Statistics,
594
16.4
Asymptotic Distributions for Logit/Loglinear Models,
599
16.5
Small-Sample Significance Tests for Contingency Tables,
601
16.6
Small-Sample Confidence Intervals for Categorical Data,
603
16.7
Alternative Estimation Theory for Parametric Models,
610
Notes,
615
Exercises,
616
17
Historical Tour of Categorical Data Analysis
623
17.1
Pearson-Yule Association Controversy,
623
17.2
R. A. Fisher s Contributions,
625
17.3
Logistic Regression,
627
17.4
Multiway Contingency Tables and
Loglinear
Models,
629
17.5
Bayesian Methods for Categorical Data,
633
17.6
A Look Forward, and Backward,
634
Appendix A Statistical Software for Categorical Data Analysis
637
Appendix
В
Chi-Squared Distribution Values
641
References
643
Author Index
689
Example Index
701
Subject Index
705
Appendix
С
Software Details for Text Examples (text website)
(www
.
stat
.
uf
1.
edu/^aa/cda/cda
.
html)
Appendix
D
Solutions to Selected Exercises (text website)
(www
.
stat
.
uf
1.
edu/^aa/cda/cda
.
html)
|
any_adam_object | 1 |
author | Agresti, Alan 1947- |
author_GND | (DE-588)141458062 |
author_facet | Agresti, Alan 1947- |
author_role | aut |
author_sort | Agresti, Alan 1947- |
author_variant | a a aa |
building | Verbundindex |
bvnumber | BV040753448 |
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ctrlnum | (OCoLC)826857762 (DE-599)GBV699960274 |
dewey-full | 519.5/35 |
dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 519 - Probabilities and applied mathematics |
dewey-raw | 519.5/35 |
dewey-search | 519.5/35 |
dewey-sort | 3519.5 235 |
dewey-tens | 510 - Mathematics |
discipline | Psychologie Mathematik Wirtschaftswissenschaften |
edition | 3. ed. |
format | Book |
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id | DE-604.BV040753448 |
illustrated | Illustrated |
indexdate | 2024-07-10T00:33:12Z |
institution | BVB |
isbn | 9780470463635 |
language | English |
lccn | 2012009792 |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-025733169 |
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spelling | Agresti, Alan 1947- Verfasser (DE-588)141458062 aut Categorical data analysis Alan Agresti 3. ed. Hoboken, NJ Wiley 2013 XVI, 714 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Wiley series in probability and statistics In der mitgedruckten CiP-Aufnahme irrtümlich gezählt als Bd. 792 der Schriftenreihe. - Includes bibliographical references and index "A classic in its own right, this book continues to provide an introduction to modern generalized linear models for categorical variables. The text emphasizes methods that are most commonly used in practical application, such as classical inferences for two- and three-way contingency tables, logistic regression, loglinear models, models for multinomial (nominal and ordinal) responses, and methods for repeated measurement and other forms of clustered, correlated response data. Chapter headings remain essentially with the exception of a new one on Bayesian inference for parametric models. Other major changes include an expansion of clustered data, new research on analysis of data sets with robust variables, extensive discussions of ordinal data, more on interpretation, and additional exercises throughout the book. R and SAS are now showcased as the software of choice. An author web site with solutions, commentaries, software programs, and data sets is available"-- Multivariate Analyse (DE-588)4040708-1 gnd rswk-swf Datenanalyse (DE-588)4123037-1 gnd rswk-swf Multivariate Analyse (DE-588)4040708-1 s DE-604 Datenanalyse (DE-588)4123037-1 s 1\p DE-604 DE-601 pdf/application http://www.gbv.de/dms/bowker/toc/9780470463635.pdf Inhaltsverzeichnis Digitalisierung UB Passau - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025733169&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 | Agresti, Alan 1947- Categorical data analysis Multivariate Analyse (DE-588)4040708-1 gnd Datenanalyse (DE-588)4123037-1 gnd |
subject_GND | (DE-588)4040708-1 (DE-588)4123037-1 |
title | Categorical data analysis |
title_auth | Categorical data analysis |
title_exact_search | Categorical data analysis |
title_full | Categorical data analysis Alan Agresti |
title_fullStr | Categorical data analysis Alan Agresti |
title_full_unstemmed | Categorical data analysis Alan Agresti |
title_short | Categorical data analysis |
title_sort | categorical data analysis |
topic | Multivariate Analyse (DE-588)4040708-1 gnd Datenanalyse (DE-588)4123037-1 gnd |
topic_facet | Multivariate Analyse Datenanalyse |
url | http://www.gbv.de/dms/bowker/toc/9780470463635.pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025733169&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
work_keys_str_mv | AT agrestialan categoricaldataanalysis |
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