Discrete Multivariate Analysis

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Goodness-of-Fit Statistics for Discrete Multivariate Data

Author : Timothy R.C. Read
Publisher : Springer Science & Business Media
ISBN 13 : 1461245788
Total Pages : 221 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Goodness-of-Fit Statistics for Discrete Multivariate Data by : Timothy R.C. Read

Download or read book Goodness-of-Fit Statistics for Discrete Multivariate Data written by Timothy R.C. Read and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 221 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Discrete Multivariate Analysis

Author : Yvonne M. Bishop
Publisher : Springer Science & Business Media
ISBN 13 : 0387728066
Total Pages : 559 pages
Book Rating : 4.3/5 (877 download)

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Book Synopsis Discrete Multivariate Analysis by : Yvonne M. Bishop

Download or read book Discrete Multivariate Analysis written by Yvonne M. Bishop and published by Springer Science & Business Media. This book was released on 2007-07-31 with total page 559 pages. Available in PDF, EPUB and Kindle. Book excerpt: “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 Data Analysis with R

Author : Michael Friendly
Publisher : CRC Press
ISBN 13 : 1498725864
Total Pages : 700 pages
Book Rating : 4.4/5 (987 download)

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Book Synopsis Discrete Data Analysis with R by : Michael Friendly

Download or read book Discrete Data Analysis with R written by Michael Friendly and published by CRC Press. This book was released on 2015-12-16 with total page 700 pages. Available in PDF, EPUB and Kindle. Book excerpt: An Applied Treatment of Modern Graphical Methods for Analyzing Categorical DataDiscrete Data Analysis with R: Visualization and Modeling Techniques for Categorical and Count Data presents an applied treatment of modern methods for the analysis of categorical data, both discrete response data and frequency data. It explains how to use graphical meth

The Statistical Analysis of Discrete Data

Author : Thomas J. Santner
Publisher : Springer Science & Business Media
ISBN 13 : 1461210178
Total Pages : 381 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis The Statistical Analysis of Discrete Data by : Thomas J. Santner

Download or read book The Statistical Analysis of Discrete Data written by Thomas J. Santner and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 381 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Statistical Analysis of Discrete Data provides an introduction to cur rent statistical methods for analyzing discrete response data. The book can be used as a course text for graduate students and as a reference for researchers who analyze discrete data. The book's mathematical prereq uisites are linear algebra and elementary advanced calculus. It assumes a basic statistics course which includes some decision theory, and knowledge of classical linear model theory for continuous response data. Problems are provided at the end of each chapter to give the reader an opportunity to ap ply the methods in the text, to explore extensions of the material covered, and to analyze data with discrete responses. In the text examples, and in the problems, we have sought to include interesting data sets from a wide variety of fields including political science, medicine, nuclear engineering, sociology, ecology, cancer research, library science, and biology. Although there are several texts available on discrete data analysis, we felt there was a need for a book which incorporated some of the myriad recent research advances. Our motivation was to introduce the subject by emphasizing its ties to the well-known theories of linear models, experi mental design, and regression diagnostics, as well as to describe alterna tive methodologies (Bayesian, smoothing, etc. ); the latter are based on the premise that external information is available. These overriding goals, to gether with our own experiences and biases, have governed our choice of topics.

Structural Analysis of Discrete Data with Econometric Applications

Author : Charles F. Manski
Publisher : MIT Press (MA)
ISBN 13 :
Total Pages : 512 pages
Book Rating : 4.4/5 (91 download)

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Book Synopsis Structural Analysis of Discrete Data with Econometric Applications by : Charles F. Manski

Download or read book Structural Analysis of Discrete Data with Econometric Applications written by Charles F. Manski and published by MIT Press (MA). This book was released on 1981 with total page 512 pages. Available in PDF, EPUB and Kindle. Book excerpt: The thirteen papers in "Structural Analysis of Discrete Data" are previously unpublished major research contributions solicited by the editors. They have been specifically prepared to fulfill the two-fold purpose of the volume, first to provide the econometrics student with an overview of the present extent of the subject and to delineate the boundaries of current research, both in terms of methodology and applications. "Coordinated publication of important findings" should, as the editors state, "lower the cost of entry into the field and speed dissemination of recent research into the graduate econometrics classroom."A second purpose of the volume is to communicate results largely reported in the econometrics literature to a wider community of researchers to whom they are directly relevant, including applied econometricians, statisticians in the area of discrete multivariate analysis, specialists in biometrics, psychometrics, and sociometrics, and analysts in various applied fields such as finance, marketing, and transportation.The papers are grouped into four sections: "Statistical Analysis of Discrete Probability Models, " with papers by the editors and by Steven Cosslett; "Dynamic Discrete Probability Models, " consisting of two contributions by James Heckman; "Structural Discrete Probability Models Derived from Theories of Choice, " with papers by Daniel McFadden, Gregory Fischer and Daniel Nagin, Steven Lerman and Charles Manski, and Moshe Ben-Akiva and Thawat Watanatada; and "Simultaneous Systems Models with Discrete Endogenous Variables, " with contributions by Lung-Fei Lee, Jerry Hausman and David Wise, Dale Poirier, Peter Schmidt, and Robert Avery.Among the applications treated are income maintenance experiments, physician behavior, consumer credit, and intra-urban location and transportation.

Reliability Modelling and Analysis in Discrete Time

Author : Unnikrishnan Nair
Publisher : Academic Press
ISBN 13 : 0128020067
Total Pages : 510 pages
Book Rating : 4.1/5 (28 download)

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Book Synopsis Reliability Modelling and Analysis in Discrete Time by : Unnikrishnan Nair

Download or read book Reliability Modelling and Analysis in Discrete Time written by Unnikrishnan Nair and published by Academic Press. This book was released on 2018-05-15 with total page 510 pages. Available in PDF, EPUB and Kindle. Book excerpt: Reliability Modelling and Analysis in Discrete Time provides an overview of the probabilistic and statistical aspects connected with discrete reliability systems. This engaging book discusses their distributional properties and dependence structures before exploring various orderings associated between different reliability structures. Though clear explanations, multiple examples, and exhaustive coverage of the basic and advanced topics of research in this area, the work gives the reader a thorough understanding of the theory and concepts associated with discrete models and reliability structures. A comprehensive bibliography assists readers who are interested in further research and understanding. Requiring only an introductory understanding of statistics, this book offers valuable insight and coverage for students and researchers in Probability and Statistics, Electrical Engineering, and Reliability/Quality Engineering. The book also includes a comprehensive bibliography to assist readers seeking to delve deeper. - Includes a valuable introduction to Reliability Theory before covering advanced topics of research and real world applications - Features an emphasis on the mathematical theory of reliability modeling - Provides many illustrative examples to foster reader understanding

Studies in Econometrics, Time Series, and Multivariate Statistics

Author : Samuel Karlin
Publisher : Academic Press
ISBN 13 : 1483268039
Total Pages : 591 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Studies in Econometrics, Time Series, and Multivariate Statistics by : Samuel Karlin

Download or read book Studies in Econometrics, Time Series, and Multivariate Statistics written by Samuel Karlin and published by Academic Press. This book was released on 2014-05-10 with total page 591 pages. Available in PDF, EPUB and Kindle. Book excerpt: Studies in Econometrics, Time Series, and Multivariate Statistics covers the theoretical and practical aspects of econometrics, social sciences, time series, and multivariate statistics. This book is organized into three parts encompassing 28 chapters. Part I contains studies on logit model, normal discriminant analysis, maximum likelihood estimation, abnormal selection bias, and regression analysis with a categorized explanatory variable. This part also deals with prediction-based tests for misspecification in nonlinear simultaneous systems and the identification in models with autoregressive errors. Part II highlights studies in time series, including time series analysis of error-correction models, time series model identification, linear random fields, segmentation of time series, and some basic asymptotic theory for linear processes in time series analysis. Part III contains papers on optimality properties in discrete multivariate analysis, Anderson's probability inequality, and asymptotic distributions of test statistics. This part also presents the comparison of measures, multivariate majorization, and of experiments for some multivariate normal situations. Studies on Bayes procedures for combining independent F tests and the limit theorems on high dimensional spheres and Stiefel manifolds are included. This book will prove useful to statisticians, mathematicians, and advance mathematics students.

Discrete Calculus

Author : Leo J. Grady
Publisher : Springer Science & Business Media
ISBN 13 : 1849962901
Total Pages : 371 pages
Book Rating : 4.8/5 (499 download)

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Book Synopsis Discrete Calculus by : Leo J. Grady

Download or read book Discrete Calculus written by Leo J. Grady and published by Springer Science & Business Media. This book was released on 2010-07-23 with total page 371 pages. Available in PDF, EPUB and Kindle. Book excerpt: This unique text brings together into a single framework current research in the three areas of discrete calculus, complex networks, and algorithmic content extraction. Many example applications from several fields of computational science are provided.

National Halothane Study

Author : J.P. Bunker
Publisher :
ISBN 13 :
Total Pages : 429 pages
Book Rating : 4.:/5 (113 download)

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Book Synopsis National Halothane Study by : J.P. Bunker

Download or read book National Halothane Study written by J.P. Bunker and published by . This book was released on 1977 with total page 429 pages. Available in PDF, EPUB and Kindle. Book excerpt:

An Introduction to Applied Multivariate Analysis with R

Author : Brian Everitt
Publisher : Springer Science & Business Media
ISBN 13 : 1441996508
Total Pages : 284 pages
Book Rating : 4.4/5 (419 download)

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Book Synopsis An Introduction to Applied Multivariate Analysis with R by : Brian Everitt

Download or read book An Introduction to Applied Multivariate Analysis with R written by Brian Everitt and published by Springer Science & Business Media. This book was released on 2011-04-23 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: The majority of data sets collected by researchers in all disciplines are multivariate, meaning that several measurements, observations, or recordings are taken on each of the units in the data set. These units might be human subjects, archaeological artifacts, countries, or a vast variety of other things. In a few cases, it may be sensible to isolate each variable and study it separately, but in most instances all the variables need to be examined simultaneously in order to fully grasp the structure and key features of the data. For this purpose, one or another method of multivariate analysis might be helpful, and it is with such methods that this book is largely concerned. Multivariate analysis includes methods both for describing and exploring such data and for making formal inferences about them. The aim of all the techniques is, in general sense, to display or extract the signal in the data in the presence of noise and to find out what the data show us in the midst of their apparent chaos. An Introduction to Applied Multivariate Analysis with R explores the correct application of these methods so as to extract as much information as possible from the data at hand, particularly as some type of graphical representation, via the R software. Throughout the book, the authors give many examples of R code used to apply the multivariate techniques to multivariate data.

Applied Multivariate Statistical Analysis and Related Topics with R

Author : Lang WU
Publisher : EDP Sciences
ISBN 13 : 2759826023
Total Pages : 238 pages
Book Rating : 4.7/5 (598 download)

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Book Synopsis Applied Multivariate Statistical Analysis and Related Topics with R by : Lang WU

Download or read book Applied Multivariate Statistical Analysis and Related Topics with R written by Lang WU and published by EDP Sciences. This book was released on 2021-04-27 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: Multivariate analysis is a popular area in statistics and data science. This book provides a good balance between conceptual understanding, key theoretical presentation, and detailed implementation with software R for commonly used multivariate analysis models and methods in practice.

The Analysis of Frequency Data

Author : Shelby J. Haberman
Publisher :
ISBN 13 :
Total Pages : 438 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis The Analysis of Frequency Data by : Shelby J. Haberman

Download or read book The Analysis of Frequency Data written by Shelby J. Haberman and published by . This book was released on 1974 with total page 438 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

An Introduction to Categorical Data Analysis

Author : Alan Agresti
Publisher : John Wiley & Sons
ISBN 13 : 1119405270
Total Pages : 393 pages
Book Rating : 4.1/5 (194 download)

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Book Synopsis An Introduction to Categorical Data Analysis by : Alan Agresti

Download or read book An Introduction to Categorical Data Analysis written by Alan Agresti and published by John Wiley & Sons. This book was released on 2018-10-11 with total page 393 pages. Available in PDF, EPUB and Kindle. Book excerpt: A valuable new edition of a standard reference The use of statistical methods for categorical data has increased dramatically, particularly for applications in the biomedical and social sciences. An Introduction to Categorical Data Analysis, Third Edition summarizes these methods and shows readers how to use them using software. Readers will find a unified generalized linear models approach that connects logistic regression and loglinear models for discrete data with normal regression for continuous data. Adding to the value in the new edition is: • Illustrations of the use of R software to perform all the analyses in the book • A new chapter on alternative methods for categorical data, including smoothing and regularization methods (such as the lasso), classification methods such as linear discriminant analysis and classification trees, and cluster analysis • New sections in many chapters introducing the Bayesian approach for the methods of that chapter • More than 70 analyses of data sets to illustrate application of the methods, and about 200 exercises, many containing other data sets • An appendix showing how to use SAS, Stata, and SPSS, and an appendix with short solutions to most odd-numbered exercises Written in an applied, nontechnical style, this book illustrates the methods using a wide variety of real data, including medical clinical trials, environmental questions, drug use by teenagers, horseshoe crab mating, basketball shooting, correlates of happiness, and much more. An Introduction to Categorical Data Analysis, Third Edition is an invaluable tool for statisticians and biostatisticians as well as methodologists in the social and behavioral sciences, medicine and public health, marketing, education, and the biological and agricultural sciences.

Introduction to Multivariate Analysis

Author : Chris Chatfield
Publisher : CRC Press
ISBN 13 : 9780412160400
Total Pages : 262 pages
Book Rating : 4.1/5 (64 download)

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Book Synopsis Introduction to Multivariate Analysis by : Chris Chatfield

Download or read book Introduction to Multivariate Analysis written by Chris Chatfield and published by CRC Press. This book was released on 1981-05-15 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Handbook of Discrete-Valued Time Series

Author : Richard A. Davis
Publisher : CRC Press
ISBN 13 : 1466577746
Total Pages : 484 pages
Book Rating : 4.4/5 (665 download)

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Book Synopsis Handbook of Discrete-Valued Time Series by : Richard A. Davis

Download or read book Handbook of Discrete-Valued Time Series written by Richard A. Davis and published by CRC Press. This book was released on 2016-01-06 with total page 484 pages. Available in PDF, EPUB and Kindle. Book excerpt: Model a Wide Range of Count Time Series Handbook of Discrete-Valued Time Series presents state-of-the-art methods for modeling time series of counts and incorporates frequentist and Bayesian approaches for discrete-valued spatio-temporal data and multivariate data. While the book focuses on time series of counts, some of the techniques discussed ca

Discrete Choice Methods with Simulation

Author : Kenneth Train
Publisher : Cambridge University Press
ISBN 13 : 0521766559
Total Pages : 399 pages
Book Rating : 4.5/5 (217 download)

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Book Synopsis Discrete Choice Methods with Simulation by : Kenneth Train

Download or read book Discrete Choice Methods with Simulation written by Kenneth Train and published by Cambridge University Press. This book was released on 2009-07-06 with total page 399 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes the new generation of discrete choice methods, focusing on the many advances that are made possible by simulation. Researchers use these statistical methods to examine the choices that consumers, households, firms, and other agents make. Each of the major models is covered: logit, generalized extreme value, or GEV (including nested and cross-nested logits), probit, and mixed logit, plus a variety of specifications that build on these basics. Simulation-assisted estimation procedures are investigated and compared, including maximum stimulated likelihood, method of simulated moments, and method of simulated scores. Procedures for drawing from densities are described, including variance reduction techniques such as anithetics and Halton draws. Recent advances in Bayesian procedures are explored, including the use of the Metropolis-Hastings algorithm and its variant Gibbs sampling. The second edition adds chapters on endogeneity and expectation-maximization (EM) algorithms. No other book incorporates all these fields, which have arisen in the past 25 years. The procedures are applicable in many fields, including energy, transportation, environmental studies, health, labor, and marketing.

Modern Statistical Methods for Spatial and Multivariate Data

Author : Norou Diawara
Publisher : Springer
ISBN 13 : 3030114317
Total Pages : 184 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Modern Statistical Methods for Spatial and Multivariate Data by : Norou Diawara

Download or read book Modern Statistical Methods for Spatial and Multivariate Data written by Norou Diawara and published by Springer. This book was released on 2019-06-29 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt: This contributed volume features invited papers on current models and statistical methods for spatial and multivariate data. With a focus on recent advances in statistics, topics include spatio-temporal aspects, classification techniques, the multivariate outcomes with zero and doubly-inflated data, discrete choice modelling, copula distributions, and feasible algorithmic solutions. Special emphasis is placed on applications such as the use of spatial and spatio-temporal models for rainfall in South Carolina and the multivariate sparse areal mixed model for the Census dataset for the state of Iowa. Articles use simulated and aggregated data examples to show the flexibility and wide applications of proposed techniques. Carefully peer-reviewed and pedagogically presented for a broad readership, this volume is suitable for graduate and postdoctoral students interested in interdisciplinary research. Researchers in applied statistics and sciences will find this book an important resource on the latest developments in the field. In keeping with the STEAM-H series, the editors hope to inspire interdisciplinary understanding and collaboration.