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Discrete Multivariate Analysis

Discrete Multivariate Analysis
Author: Yvonne M. Bishop
Publisher: Springer Science & Business Media
Total Pages: 558
Release: 2007-07-30
Genre: Mathematics
ISBN: 0387728058

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“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.


Discrete Multivariate Analysis

Discrete Multivariate Analysis
Author: Yvonne M. Bishop
Publisher: Springer Science & Business Media
Total Pages: 559
Release: 2007-07-31
Genre: Mathematics
ISBN: 0387728066

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“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.


Discrete Multivariate Analysis: Theory and Practice

Discrete Multivariate Analysis: Theory and Practice
Author: Yvonne Millicent Mahala Bishop
Publisher: MIT Press (MA)
Total Pages: 576
Release: 1975
Genre: Multivariate analysis
ISBN:

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Structural models for counted data; Maximum likelihood estimates for complete tables; Formal goodness of fit: summary statistics and model selection; Maximum likelihood estimation for incomplete tables; Estimating the size of a closed population; Models for measuring change; Analysis of square tables: symmetry and marginal homogeneity; Model selection and assessing closeness of fit: practical aspects; Other methods for estimation and testing in cross-classifications; Measures of association and agreement; Pseudo-bayes estimates of cell probabilities; Sampling models for discrete data; Asymptotic methods.


Topics in Applied Multivariate Analysis

Topics in Applied Multivariate Analysis
Author: D. M. Hawkins
Publisher: Cambridge University Press
Total Pages: 384
Release: 1982-04-22
Genre: Mathematics
ISBN: 9780521243681

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Multivariate methods are employed widely in the analysis of experimental data but are poorly understood by those users who are not statisticians. This is because of the wide divergence between the theory and practice of multivariate methods. This book provides concise yet thorough surveys of developments in multivariate statistical analysis and gives statistically sound coverage of the subject. The contributors are all experienced in the theory and practice of multivariate methods and their aim has been to emphasize the major features from the point of view of applicability and to indicate the limitations and conditions of the techniques. Professional statisticians wanting to improve their background in applicable methods, users of high-level statistical methods wanting to improve their background in fundamentals, and graduate students of statistics will all find this volume of value and use.


Applied Multivariate Analysis

Applied Multivariate Analysis
Author: Neil H. Timm
Publisher: Springer Science & Business Media
Total Pages: 709
Release: 2007-06-21
Genre: Mathematics
ISBN: 0387227717

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This book provides a broad overview of the basic theory and methods of applied multivariate analysis. The presentation integrates both theory and practice including both the analysis of formal linear multivariate models and exploratory data analysis techniques. Each chapter contains the development of basic theoretical results with numerous applications illustrated using examples from the social and behavioral sciences, and other disciplines. All examples are analyzed using SAS for Windows Version 8.0.


Goodness-of-Fit Statistics for Discrete Multivariate Data

Goodness-of-Fit Statistics for Discrete Multivariate Data
Author: Timothy R.C. Read
Publisher: Springer Science & Business Media
Total Pages: 221
Release: 2012-12-06
Genre: Mathematics
ISBN: 1461245788

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The statistical analysis of discrete multivariate data has received a great deal of attention in the statistics literature over the past two decades. The develop ment ofappropriate models is the common theme of books such as Cox (1970), Haberman (1974, 1978, 1979), Bishop et al. (1975), Gokhale and Kullback (1978), Upton (1978), Fienberg (1980), Plackett (1981), Agresti (1984), Goodman (1984), and Freeman (1987). The objective of our book differs from those listed above. Rather than concentrating on model building, our intention is to describe and assess the goodness-of-fit statistics used in the model verification part of the inference process. Those books that emphasize model development tend to assume that the model can be tested with one of the traditional goodness-of-fit tests 2 2 (e.g., Pearson's X or the loglikelihood ratio G ) using a chi-squared critical value. However, it is well known that this can give a poor approximation in many circumstances. This book provides the reader with a unified analysis of the traditional goodness-of-fit tests, describing their behavior and relative merits as well as introducing some new test statistics. The power-divergence family of statistics (Cressie and Read, 1984) is used to link the traditional test statistics through a single real-valued parameter, and provides a way to consolidate and extend the current fragmented literature. As a by-product of our analysis, a new 2 2 statistic emerges "between" Pearson's X and the loglikelihood ratio G that has some valuable properties.


Practical Multivariate Analysis

Practical Multivariate Analysis
Author: Abdelmonem Afifi
Publisher: CRC Press
Total Pages: 530
Release: 2011-07-05
Genre: Mathematics
ISBN: 1466503246

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This new version of the bestselling Computer-Aided Multivariate Analysis has been appropriately renamed to better characterize the nature of the book. Taking into account novel multivariate analyses as well as new options for many standard methods, Practical Multivariate Analysis, Fifth Edition shows readers how to perform multivariate statistical


Introduction to Multivariate Analysis

Introduction to Multivariate Analysis
Author: Chris Chatfield
Publisher: CRC Press
Total Pages: 262
Release: 1981-05-15
Genre: Mathematics
ISBN: 9780412160400

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This book provides an introduction to the analysis of multivariate data.It describes multivariate probability distributions, the preliminary analysisof a large -scale set of data, princ iple component and factor analysis, traditional normal theory material, as well as multidimensional scaling andcluster analysis.Introduction to Multivariate Analysis provides a reasonable blend oftheory and practice. Enough theory is given to introduce the concepts andto make the topics mathematically interesting. In addition the authors discussthe use (and misuse) of the techniques in pra ctice and present appropriatereal-life examples from a variety of areas includ ing agricultural research, soc iology and crim inology. The book should be suitable both for researchworkers and as a text for students taking a course on multivariate analysi


Methods of Multivariate Analysis

Methods of Multivariate Analysis
Author: Alvin C. Rencher
Publisher: John Wiley & Sons
Total Pages: 805
Release: 2012-08-15
Genre: Mathematics
ISBN: 1118391675

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Praise for the Second Edition "This book is a systematic, well-written, well-organized text on multivariate analysis packed with intuition and insight . . . There is much practical wisdom in this book that is hard to find elsewhere." IIE Transactions Filled with new and timely content, Methods of Multivariate Analysis, Third Edition provides examples and exercises based on more than sixty real data sets from a wide variety of scientific fields. It takes a "methods" approach to the subject, placing an emphasis on how students and practitioners can employ multivariate analysis in real-life situations. This Third Edition continues to explore the key descriptive and inferential procedures that result from multivariate analysis. Following a brief overview of the topic, the book goes on to review the fundamentals of matrix algebra, sampling from multivariate populations, and the extension of common univariate statistical procedures (including t-tests, analysis of variance, and multiple regression) to analogous multivariate techniques that involve several dependent variables. The latter half of the book describes statistical tools that are uniquely multivariate in nature, including procedures for discriminating among groups, characterizing low-dimensional latent structure in high-dimensional data, identifying clusters in data, and graphically illustrating relationships in low-dimensional space. In addition, the authors explore a wealth of newly added topics, including: Confirmatory Factor Analysis Classification Trees Dynamic Graphics Transformations to Normality Prediction for Multivariate Multiple Regression Kronecker Products and Vec Notation New exercises have been added throughout the book, allowing readers to test their comprehension of the presented material. Detailed appendices provide partial solutions as well as supplemental tables, and an accompanying FTP site features the book's data sets and related SAS® code. Requiring only a basic background in statistics, Methods of Multivariate Analysis, Third Edition is an excellent book for courses on multivariate analysis and applied statistics at the upper-undergraduate and graduate levels. The book also serves as a valuable reference for both statisticians and researchers across a wide variety of disciplines.