On Asymptotic Variances for Loglinear Models in Contingency Table Analysis

On Asymptotic Variances for Loglinear Models in Contingency Table Analysis PDF Author: Siukai Keith Lee
Publisher:
ISBN:
Category :
Languages : en
Pages : 270

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On Asymptotic Variances for Loglinear Models in Contingency Table Analysis

On Asymptotic Variances for Loglinear Models in Contingency Table Analysis PDF Author: Siukai Keith Lee
Publisher:
ISBN:
Category :
Languages : en
Pages : 270

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Book Description


Some Properties of Estimated Asymptotic Variances and Covariances for Loglinear Models in Multidimensional Contingency Tables

Some Properties of Estimated Asymptotic Variances and Covariances for Loglinear Models in Multidimensional Contingency Tables PDF Author: Isabel Elaine Allen
Publisher:
ISBN:
Category : Analysis of variance
Languages : en
Pages : 512

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Book Description


The Analysis of Cross-Classified Categorical Data

The Analysis of Cross-Classified Categorical Data PDF Author: Stephen E. Fienberg
Publisher: Springer Science & Business Media
ISBN: 0387728252
Category : Mathematics
Languages : en
Pages : 208

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Book Description
A variety of biological and social science data come in the form of cross-classified tables of counts, commonly referred to as contingency tables. Until recent years the statistical and computational techniques available for the analysis of cross-classified data were quite limited. This book presents some of the recent work on the statistical analysis of cross-classified data using longlinear models, especially in the multidimensional situation.

Log-Linear Models

Log-Linear Models PDF Author: Ronald Christensen
Publisher: Springer Science & Business Media
ISBN: 1475741111
Category : Mathematics
Languages : en
Pages : 420

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Book Description
This book examines log-linear models for contingency tables. Logistic re gression and logistic discrimination are treated as special cases and gener alized linear models (in the GLIM sense) are also discussed. The book is designed to fill a niche between basic introductory books such as Fienberg (1980) and Everitt (1977) and advanced books such as Bishop, Fienberg, and Holland (1975), Haberman (1974), and Santner and Duffy (1989). lt is primarily directed at advanced Masters degree students in Statistics but it can be used at both higher and lower levels. The primary theme of the book is using previous knowledge of analysis of variance and regression to motivate and explicate the use of log-linear models. Of course, both the analogies and the distinctions between the different methods must be kept in mind. The book is written at several levels. A basic introductory course would take material from Chapters I, II (deemphasizing Section II. 4), III, Sec tions IV. 1 through IV. 5 (eliminating the material on graphical models), Section IV. lü, Chapter VII, and Chapter IX. The advanced modeling ma terial at the end of Sections VII. 1, VII. 2, and possibly the material in Section IX. 2 should be deleted in a basic introductory course. For Mas ters degree students in Statistics, all the material in Chapters I through V, VII, IX, and X should be accessible. For an applied Ph. D.

Contingency Table Analysis

Contingency Table Analysis PDF Author: Maria Kateri
Publisher: Springer
ISBN: 0817648119
Category : Mathematics
Languages : en
Pages : 315

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Book Description
Contingency tables arise in diverse fields, including life sciences, education, social and political sciences, notably market research and opinion surveys. Their analysis plays an essential role in gaining insight into structures of the quantities under consideration and in supporting decision making. Combining both theory and applications, this book presents models and methods for the analysis of two- and multidimensional-contingency tables. An excellent reference for advanced undergraduates, graduate students, and practitioners in statistics as well as biosciences, social sciences, education, and economics, the work may also be used as a textbook for a course on categorical data analysis. Prerequisites include basic background on statistical inference and knowledge of statistical software packages.

Log-Linear Models and Logistic Regression

Log-Linear Models and Logistic Regression PDF Author: Ronald Christensen
Publisher: Springer Science & Business Media
ISBN: 0387226249
Category : Mathematics
Languages : en
Pages : 498

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Book Description
The primary focus here is on log-linear models for contingency tables, but in this second edition, greater emphasis has been placed on logistic regression. The book explores topics such as logistic discrimination and generalised linear models, and builds upon the relationships between these basic models for continuous data and the analogous log-linear and logistic regression models for discrete data. It also carefully examines the differences in model interpretations and evaluations that occur due to the discrete nature of the data. Sample commands are given for analyses in SAS, BMFP, and GLIM, while numerous data sets from fields as diverse as engineering, education, sociology, and medicine are used to illustrate procedures and provide exercises. Throughoutthe book, the treatment is designed for students with prior knowledge of analysis of variance and regression.

Applied Categorical and Count Data Analysis

Applied Categorical and Count Data Analysis PDF Author: Wan Tang
Publisher: CRC Press
ISBN: 1000864022
Category : Mathematics
Languages : en
Pages : 1699

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Book Description
Developed from the authors’ graduate-level biostatistics course, Applied Categorical and Count Data Analysis, Second Edition explains how to perform the statistical analysis of discrete data, including categorical and count outcomes. The authors have been teaching categorical data analysis courses at the University of Rochester and Tulane University for more than a decade. This book embodies their decade-long experience and insight in teaching and applying statistical models for categorical and count data. The authors describe the basic ideas underlying each concept, model, and approach to give readers a good grasp of the fundamentals of the methodology without relying on rigorous mathematical arguments. The second edition covers classic concepts and popular topics, such as contingency tables, logistic regression models, and Poisson regression models, along with modern areas that include models for zero-modified count outcomes, parametric and semiparametric longitudinal data analysis, reliability analysis, and methods for dealing with missing values. As in the first edition, R, SAS, SPSS, and Stata programming codes are provided for all the examples, enabling readers to immediately experiment with the data in the examples and even adapt or extend the codes to fit data from their own studies. Designed for a one-semester course for graduate and senior undergraduate students in biostatistics, this self-contained text is also suitable as a self-learning guide for biomedical and psychosocial researchers. It will help readers analyze data with discrete variables in a wide range of biomedical and psychosocial research fields. Features: Describes the basic ideas underlying each concept and model Includes R, SAS, SPSS and Stata programming codes for all the examples Features significantly expanded Chapters 4, 5, and 8 (Chapters 4-6, and 9 in the second edition Expands discussion for subtle issues in longitudinal and clustered data analysis such as time varying covariates and comparison of generalized linear mixed-effect models with GEE

The Analysis of Frequency Data

The Analysis of Frequency Data PDF Author: Shelby J. Haberman
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 438

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Book Description
Basic properties of log-linear models; Maximum-likelihood estimation; Numerical evaluation of maximum-likelihood estimates; Asymptotic properties; Complete factorial tables; Social-mobility tables; Incomplete contingency tables; Quantal response models; Some extensions.

The Analysis of Cross-Classified Categorical Data

The Analysis of Cross-Classified Categorical Data PDF Author: Stephen E. Fienberg
Publisher: Springer Science & Business Media
ISBN: 0387728244
Category : Mathematics
Languages : en
Pages : 208

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Book Description
Until recent years the statistical and computational techniques available for the analysis of cross-classified data were quite limited. This book presents some of the recent work on the statistical analysis of cross-classified data using longlinear models.

Discrete Multivariate Analysis

Discrete Multivariate Analysis PDF Author: Yvonne M. Bishop
Publisher: Springer Science & Business Media
ISBN: 0387728058
Category : Mathematics
Languages : en
Pages : 558

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Book Description
“A welcome addition to multivariate analysis. The discussion is lucid and very leisurely, excellently illustrated with applications drawn from a wide variety of fields. A good part of the book can be understood without very specialized statistical knowledge. It is a most welcome contribution to an interesting and lively subject.” -- Nature Originally published in 1974, this book is a reprint of a classic, still-valuable text.