Ordinal Data Modeling

Ordinal Data Modeling

Author: Valen E. Johnson

Publisher: Springer Science & Business Media

Published: 2006-04-06

Total Pages: 258

ISBN-13: 0387227024

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Ordinal Data Modeling is a comprehensive treatment of ordinal data models from both likelihood and Bayesian perspectives. A unique feature of this text is its emphasis on applications. All models developed in the book are motivated by real datasets, and considerable attention is devoted to the description of diagnostic plots and residual analyses. Software and datasets used for all analyses described in the text are available on websites listed in the preface.


Analysis of Ordinal Categorical Data

Analysis of Ordinal Categorical Data

Author: Alan Agresti

Publisher: John Wiley & Sons

Published: 2012-07-06

Total Pages: 376

ISBN-13: 1118209990

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Statistical science’s first coordinated manual of methods for analyzing ordered categorical data, now fully revised and updated, continues to present applications and case studies in fields as diverse as sociology, public health, ecology, marketing, and pharmacy. Analysis of Ordinal Categorical Data, Second Edition provides an introduction to basic descriptive and inferential methods for categorical data, giving thorough coverage of new developments and recent methods. Special emphasis is placed on interpretation and application of methods including an integrated comparison of the available strategies for analyzing ordinal data. Practitioners of statistics in government, industry (particularly pharmaceutical), and academia will want this new edition.


Regression Modeling Strategies

Regression Modeling Strategies

Author: Frank E. Harrell

Publisher: Springer Science & Business Media

Published: 2013-03-09

Total Pages: 583

ISBN-13: 147573462X

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Many texts are excellent sources of knowledge about individual statistical tools, but the art of data analysis is about choosing and using multiple tools. Instead of presenting isolated techniques, this text emphasizes problem solving strategies that address the many issues arising when developing multivariable models using real data and not standard textbook examples. It includes imputation methods for dealing with missing data effectively, methods for dealing with nonlinear relationships and for making the estimation of transformations a formal part of the modeling process, methods for dealing with "too many variables to analyze and not enough observations," and powerful model validation techniques based on the bootstrap. This text realistically deals with model uncertainty and its effects on inference to achieve "safe data mining".


Statistical Models for Ordinal Variables

Statistical Models for Ordinal Variables

Author: Clifford C. Clogg

Publisher: SAGE Publications, Incorporated

Published: 1994-02-28

Total Pages: 206

ISBN-13:

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How should data involving response variables of many ordered categories be analyzed? What technique would be most useful in analyzing partially ordered variables regarded as dependent variables? Addressing these and other related concerns in social and survey research, Clogg and Shihadeh explore the statistical analysis of data involving dependent variables that can be coded into discrete, ordered categories, such as "agree," "uncertain," "disagree," or in other similar ways. The authors emphasize the applications of new models and methods for the analysis of ordinal variables and cover general procedures for assessing goodness-of-fit, review the independence model and the saturated model, define measures of association, demonstrate the logit versions of the model, and develop association models as well as logit-type regression models. Aimed at helping researchers formulate models that take account of the ordering of the levels of the variables, this book is appropriate for readers familiar with log-linear analysis and logit regression.


Applied Ordinal Logistic Regression Using Stata

Applied Ordinal Logistic Regression Using Stata

Author: Xing Liu

Publisher: SAGE Publications

Published: 2015-09-30

Total Pages: 372

ISBN-13: 1483319768

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The first book to provide a unified framework for both single-level and multilevel modeling of ordinal categorical data, Applied Ordinal Logistic Regression Using Stata helps readers learn how to conduct analyses, interpret the results from Stata output, and present those results in scholarly writing. Using step-by-step instructions, this non-technical, applied book leads students, applied researchers, and practitioners to a deeper understanding of statistical concepts by closely connecting the underlying theories of models with the application of real-world data using statistical software. An open-access website for the book contains data sets, Stata code, and answers to in-text questions.


Regression & Linear Modeling

Regression & Linear Modeling

Author: Jason W. Osborne

Publisher: SAGE Publications

Published: 2016-03-24

Total Pages: 489

ISBN-13: 1506302750

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In a conversational tone, Regression & Linear Modeling provides conceptual, user-friendly coverage of the generalized linear model (GLM). Readers will become familiar with applications of ordinary least squares (OLS) regression, binary and multinomial logistic regression, ordinal regression, Poisson regression, and loglinear models. Author Jason W. Osborne returns to certain themes throughout the text, such as testing assumptions, examining data quality, and, where appropriate, nonlinear and non-additive effects modeled within different types of linear models.


Longitudinal Data Analysis

Longitudinal Data Analysis

Author: Donald Hedeker

Publisher: John Wiley & Sons

Published: 2006-05-12

Total Pages: 360

ISBN-13: 0470036478

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Longitudinal data analysis for biomedical and behavioral sciences This innovative book sets forth and describes methods for the analysis of longitudinaldata, emphasizing applications to problems in the biomedical and behavioral sciences. Reflecting the growing importance and use of longitudinal data across many areas of research, the text is designed to help users of statistics better analyze and understand this type of data. Much of the material from the book grew out of a course taught by Dr. Hedeker on longitudinal data analysis. The material is, therefore, thoroughly classroom tested and includes a number of features designed to help readers better understand and apply the material. Statistical procedures featured within the text include: * Repeated measures analysis of variance * Multivariate analysis of variance for repeated measures * Random-effects regression models (RRM) * Covariance-pattern models * Generalized-estimating equations (GEE) models * Generalizations of RRM and GEE for categorical outcomes Practical in their approach, the authors emphasize the applications of the methods, using real-world examples for illustration. Some syntax examples are provided, although the authors do not generally focus on software in this book. Several datasets and computer syntax examples are posted on this title's companion Web site. The authors intend to keep the syntax examples current as new versions of the software programs emerge. This text is designed for both undergraduate and graduate courses in longitudinal data analysis. Instructors can take advantage of overheads and additional course materials available online for adopters. Applied statisticians in biomedicine and the social sciences can also use the book as a convenient reference.


Generalized Linear Models

Generalized Linear Models

Author: Dipak K. Dey

Publisher: CRC Press

Published: 2000-05-25

Total Pages: 450

ISBN-13: 9780824790349

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This volume describes how to conceptualize, perform, and critique traditional generalized linear models (GLMs) from a Bayesian perspective and how to use modern computational methods to summarize inferences using simulation. Introducing dynamic modeling for GLMs and containing over 1000 references and equations, Generalized Linear Models considers parametric and semiparametric approaches to overdispersed GLMs, presents methods of analyzing correlated binary data using latent variables. It also proposes a semiparametric method to model link functions for binary response data, and identifies areas of important future research and new applications of GLMs.


Doing Bayesian Data Analysis

Doing Bayesian Data Analysis

Author: John Kruschke

Publisher: Academic Press

Published: 2010-11-25

Total Pages: 673

ISBN-13: 0123814863

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There is an explosion of interest in Bayesian statistics, primarily because recently created computational methods have finally made Bayesian analysis tractable and accessible to a wide audience. Doing Bayesian Data Analysis, A Tutorial Introduction with R and BUGS, is for first year graduate students or advanced undergraduates and provides an accessible approach, as all mathematics is explained intuitively and with concrete examples. It assumes only algebra and 'rusty' calculus. Unlike other textbooks, this book begins with the basics, including essential concepts of probability and random sampling. The book gradually climbs all the way to advanced hierarchical modeling methods for realistic data. The text provides complete examples with the R programming language and BUGS software (both freeware), and begins with basic programming examples, working up gradually to complete programs for complex analyses and presentation graphics. These templates can be easily adapted for a large variety of students and their own research needs.The textbook bridges the students from their undergraduate training into modern Bayesian methods. - Accessible, including the basics of essential concepts of probability and random sampling - Examples with R programming language and BUGS software - Comprehensive coverage of all scenarios addressed by non-bayesian textbooks- t-tests, analysis of variance (ANOVA) and comparisons in ANOVA, multiple regression, and chi-square (contingency table analysis). - Coverage of experiment planning - R and BUGS computer programming code on website - Exercises have explicit purposes and guidelines for accomplishment