Linear Regression

Author: Jurgen Gross,Jürgen Groß

Publisher: Springer Science & Business Media

ISBN: 9783540401780

Category: Mathematics

Page: 394

View: 7312

The book covers the basic theory of linear regression models and presents a comprehensive survey of different estimation techniques as alternatives and complements to least squares estimation. The relationship between different estimators is clearly described and categories of estimators are worked out in detail. Proofs are given for the most relevant results, and the presented methods are illustrated with the help of numerical examples and graphics. Special emphasis is laid on the practicability, and possible applications are discussed. The book is rounded off by an introduction to the basics of decision theory and an appendix on matrix algebra.
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Nonlinear Regression

Author: George A. F. Seber,C. J. Wild

Publisher: John Wiley & Sons

ISBN: 9780471471356

Category: Mathematics

Page: 768

View: 516

WILEY-INTERSCIENCE PAPERBACK SERIES The Wiley-Interscience Paperback Series consists of selected books that have been made more accessible to consumers in an effort to increase global appeal and general circulation. With these new unabridged softcover volumes, Wiley hopes to extend the lives of these works by making them available to future generations of statisticians, mathematicians, and scientists. From the Reviews of A User?s Guide to Principal Components "The book is aptly and correctly named?A User?s Guide. It is the kind of book that a user at any level, novice or skilled practitioner, would want to have at hand for autotutorial, for refresher, or as a general-purpose guide through the maze of modern PCA." ?Technometrics "I recommend A User?s Guide to Principal Components to anyone who is running multivariate analyses, or who contemplates performing such analyses. Those who write their own software will find the book helpful in designing better programs. Those who use off-the-shelf software will find it invaluable in interpreting the results." ?Mathematical Geology
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Multiple Regression

A Primer

Author: Paul D. Allison

Publisher: Pine Forge Press

ISBN: 9780761985334

Category: Mathematics

Page: 202

View: 9097

Presenting topics in the form of questions and answers, this popular supplemental text offers a brief introduction on multiple regression on a conceptual level. Author Paul D. Allison answers the most essential questions (such as how to read and interpret multiple regression tables and how to critique multiple regression results) in the early chapters, and then tackles the less important ones (for instance, those arising from multicollinearity) in the later chapters. With this organization, readers can stop at the end of any chapter and still feel like they've already gotten the meat of the subject.
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Regression

A Universal Experience

Author: Averil Marie Doyle

Publisher: Greenwood Publishing Group

ISBN: 9780275979195

Category: Psychology

Page: 117

View: 410

A scientific work made accessible for lay readers--without sacrificing its technical and scholarly underpinnings--this book presents regression as a universal and necessary process. Regression is viewed as inherent in our biology and designed as an aid to integration of trauma through repetitive association and reassociation. Childhood sexuality's definition includes touching patterns, sensate reactions to urination and defecation, and spanking and other forms of abuse. Infantile reactions to pleasure and pain create memory traces that are cued during later adult sexual encounters. Sexual dysfunction and paraphilic conditions such as masochism, sadism, fetishism, and exhibitionism often develop as a result of these early sensate memories. This work describes how parents, educators, therapists and medical caregivers contribute to mis-learning by failing to recognize and understand the sensitive nature of learning and the remediative process of regression. Graphic descriptions of severe, moderate, and mild cases of regression are presented. Doyle challenges the notion that regression is only a psychological defense utilized by a limited segment of the population. This book combines concepts drawn from learning theory, neuroscience, neuropsychology, child development, and trauma revival in an unprecedented manner, and aims to stimulate interest in--and exploration of--regression as a phenomena that transcends diagnostic categories, one that recognizes the continuum between normal and abnormal associations we all form in the process of development.
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Introduction to Linear Regression Analysis

Author: Douglas C. Montgomery,Elizabeth A. Peck,G. Geoffrey Vining

Publisher: John Wiley & Sons

ISBN: 1119180171

Category: Mathematics

Page: 672

View: 4510

Praise for the Fourth Edition "As with previous editions, the authors have produced a leadingtextbook on regression." —Journal of the American Statistical Association A comprehensive and up-to-date introduction to thefundamentals of regression analysis Introduction to Linear Regression Analysis, Fifth Editioncontinues to present both the conventional and less common uses oflinear regression in today’s cutting-edge scientificresearch. The authors blend both theory and application to equipreaders with an understanding of the basic principles needed toapply regression model-building techniques in various fields ofstudy, including engineering, management, and the healthsciences. Following a general introduction to regression modeling,including typical applications, a host of technical tools areoutlined such as basic inference procedures, introductory aspectsof model adequacy checking, and polynomial regression models andtheir variations. The book then discusses how transformations andweighted least squares can be used to resolve problems of modelinadequacy and also how to deal with influential observations. TheFifth Edition features numerous newly added topics,including: A chapter on regression analysis of time series data thatpresents the Durbin-Watson test and other techniques for detectingautocorrelation as well as parameter estimation in time seriesregression models Regression models with random effects in addition to adiscussion on subsampling and the importance of the mixedmodel Tests on individual regression coefficients and subsets ofcoefficients Examples of current uses of simple linear regression models andthe use of multiple regression models for understanding patientsatisfaction data. In addition to Minitab, SAS, and S-PLUS, the authors haveincorporated JMP and the freely available R software to illustratethe discussed techniques and procedures in this new edition.Numerous exercises have been added throughout, allowing readers totest their understanding of the material. Introduction to Linear Regression Analysis, Fifth Editionis an excellent book for statistics and engineering courses onregression at the upper-undergraduate and graduate levels. The bookalso serves as a valuable, robust resource for professionals in thefields of engineering, life and biological sciences, and the socialsciences.
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Regression Diagnostics

An Introduction

Author: John Fox

Publisher: SAGE

ISBN: 9780803939714

Category: Mathematics

Page: 92

View: 2811

With Regression Diagnostics, researchers now have an accessible explanation of the techniques needed for exploring problems that compromise a regression analysis and for determining whether certain assumptions appear reasonable. The book covers such topics as the problem of collinearity in multiple regression, dealing with outlying and influential data, non-normality of errors, non-constant error variance and the problems and opportunities presented by discrete data. In addition, sophisticated diagnostics based on maximum-likelihood methods, scores tests, and constructed variables are introduced.
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Correlation and Regression Analysis

A Historian's Guide

Author: Thomas J. Archdeacon

Publisher: Univ of Wisconsin Press

ISBN: 9780299136543

Category: History

Page: 352

View: 8231

In Correlation and Regression Analysis: A Historian's Guide Thomas J. Archdeacon provides historians with a practical introduction to the use of correlation and regression analysis. The book concentrates on the kinds of analysis that form the broad range of statistical methods used in the social sciences. It enables historians to understand and to evaluate critically the quantitative analyses that they are likely to encounter in journal literature and monographs reporting research findings in the social sciences. Without attempting to be a text in basic statistics, the book provides enough background information to allow readers to grasp the essentials of correlation and regression. Correlation analysis refers to the measurement of association between or among variables, and regression analysis focuses primarily on the use of linear models to predict changes in the value taken by one variable in terms of changes in the values of a set of explanatory variables. The book also discusses diagnostic methods for identifying shortcomings in regression models, the use of regression to analyze causation, and the application of regression and related procedures to the study of problems containing categorical as well as numerical data. Archdeacon asserts that knowing how statistical procedures are computed can clarify the theoretical structures underlying them and is essential for recognizing the conditions under which their use is appropriate. The book does not shy away from the mathematics of statistical analysis; but Archdeacon presents concepts carefully and explains the operation of equations step by step. Unlike many works in the field, the book does not assume that readers have mathematical training beyond basic algebra and geometry. In the hope of promoting the role of quantitative analysis in his discipline, Archdeacon discusses the theory and methods behind the most important interpretive paradigm for quantitative research in the social sciences. Correlation and Regression Analysis introduces statistical techniques that are indispensable to historians and enhances the presentation of them with practical examples from scholarly works.
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Angstlust und Regression

Author: Michael Balint

Publisher: Klett-Cotta

ISBN: 9783608946376

Category:

Page: 113

View: 8983

Ausgehend von Erlebnisqualitaten, die im Englischen mit "Thrill" bezeichnet werden, beschreibt Michael Balint zwei unterschiedliche Verhaltensweisen gegenuber der Welt: die "oknophile" und die "philobatische". DIese Unterscheidung hat zu interessanten SchluSSfolgerungen gefuhrt im diagnostischen und therapeutischen Bereich, im Blick auf die Objektbeziehungen, den Umgang mit Angst und Aggressivitat, die Autoerotik, Liebe und HaSS sowie die Fahigkeit zur Realitatsprufung. Michael Balint, der durch seine Untersuchungen uber die Arzt-Patient-Beziehung weithin bekannt geworden ist, legt hier eine neue psychologische Typenlehre vor. ER unterscheidet zwei Hauptverhaltensweisen gegenuber der Welt, die oknophile und die philobatische. DIe erstere ist dadurch gekennzeichnet, dass der Mensch sich an seine Liebesobjekte anklammert und in dieser Anklammerung Schutz und Wonne des Gehaltenseins sucht, zugleich aber bestandig gepeinigt wird von der Angst, das Liebesobjekt zu verlieren ? die zweite geht darauf aus, die Objekte zu wechseln, sich von ihnen zu losen und in der uberwindung der "freundlichen Weiten" zwischen ihnen immer neue Spannung und Angst-Lust (thrill) zu suchen und zugleich eine bestandige Neubestatigung der eigenen Geschicklichkeit, die es ermoglicht, immer neue Objekte zu unterwerfen.
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Applied Logistic Regression Analysis

Author: Scott Menard

Publisher: SAGE

ISBN: 9780761922087

Category: Mathematics

Page: 111

View: 9059

The focus in this Second Editionis on logistic regression models for individual level (but aggregate or grouped) data. Multiple cases for each possible combination of values of the predictors are considered in detail and examples using SAS and SPSS included. New to this edition: · More detailed consideration of grouped as opposed to casewise data throughout the book · Updated discussion of the properties and appropriate use of goodness of fit measures, R2 analogues, and indices of predictive efficiency · Discussion of the misuse of odds ratios to represent risk ratios, and of overdispersion and underdispersion for grouped data · Updated coverage of unordered and ordered polytomous logistic regression models.
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Understanding Regression Analysis

Author: Michael Patrick Allen

Publisher: Springer Science & Business Media

ISBN: 9780306484339

Category: Social Science

Page: 216

View: 8746

By assuming it is possible to understand regression analysis without fully comprehending all its underlying proofs and theories, this introduction to the widely used statistical technique is accessible to readers who may have only a rudimentary knowledge of mathematics. Chapters discuss: -descriptive statistics using vector notation and the components of a simple regression model; -the logic of sampling distributions and simple hypothesis testing; -the basic operations of matrix algebra and the properties of the multiple regression model; -testing compound hypotheses and the application of the regression model to the analyses of variance and covariance, and -structural equation models and influence statistics.
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Regression Analysis

Theory, Methods, and Applications

Author: Ashish Sen,Muni Srivastava

Publisher: Springer Science & Business Media

ISBN: 9780387972114

Category: Psychology

Page: 348

View: 8182

An up-to-date, rigorous, and lucid treatment of the theory, methods, and applications of regression analysis, and thus ideally suited for those interested in the theory as well as those whose interests lie primarily with applications. It is further enhanced through real-life examples drawn from many disciplines, showing the difficulties typically encountered in the practice of regression analysis. Consequently, this book provides a sound foundation in the theory of this important subject.
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Applied Regression Analysis and Generalized Linear Models

Author: John Fox

Publisher: SAGE Publications

ISBN: 1483321312

Category: Social Science

Page: 816

View: 3809

Combining a modern, data-analytic perspective with a focus on applications in the social sciences, the Third Edition of Applied Regression Analysis and Generalized Linear Models provides in-depth coverage of regression analysis, generalized linear models, and closely related methods, such as bootstrapping and missing data. Updated throughout, this Third Edition includes new chapters on mixed-effects models for hierarchical and longitudinal data. Although the text is largely accessible to readers with a modest background in statistics and mathematics, author John Fox also presents more advanced material in optional sections and chapters throughout the book.
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Multiple Regression

Testing and Interpreting Interactions

Author: Leona S. Aiken,Stephen G. West,Raymond R. Reno

Publisher: SAGE

ISBN: 9780761907121

Category: Business & Economics

Page: 212

View: 3831

This successful book, now available in paperback, provides academics and researchers with a clear set of prescriptions for estimating, testing and probing interactions in regression models. Including the latest research in the area, such as Fuller's work on the corrected/constrained estimator, the book is appropriate for anyone who uses multiple regression to estimate models, or for those enrolled in courses on multivariate statistics.
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How to use regression analysis in quality control

Author: Douglas C. Crocker

Publisher: Asq Press

ISBN: 9780873891035

Category: Business & Economics

Page: 80

View: 3373

This book models the regression protocol to suit applications within quality control while avoiding misapplication and misinterpretation. It gives an introduction to the general principles of regression analysis and an in-depth discussion of its use.Contents:What RA Is and What It Does The Modeling Process Enlisting Client Support The Method of Least Squares A Numeric Example: The Simple (One-Predictor) Model A Calibration Example: Inverse Regression The Necessity of Computers: Multiple Regression Finding the Causes of Quality Variation A Few More Fallacies and Dangers
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Linear Regression Analysis

Author: George A. F. Seber,Alan J. Lee

Publisher: John Wiley & Sons

ISBN: 1118274423

Category: Mathematics

Page: 582

View: 2951

Concise, mathematically clear, and comprehensive treatment of thesubject. * Expanded coverage of diagnostics and methods of modelfitting. * Requires no specialized knowledge beyond a good grasp of matrixalgebra and some acquaintance with straight-line regression andsimple analysis of variance models. * More than 200 problems throughout the book plus outline solutionsfor the exercises. * This revision has been extensively class-tested.
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Regression

Modelle, Methoden und Anwendungen

Author: Ludwig Fahrmeir,Thomas Kneib,Stefan Lang

Publisher: Springer-Verlag

ISBN: 3642018378

Category: Business & Economics

Page: 502

View: 816

In dem Band beschreiben die Autoren erstmals klassische Regressionsansätze und moderne nicht- und semiparametrische Methoden in einer integrierten und anwendungsorientierten Form. Um Lesern die Analyse eigener Fragestellungen zu ermöglichen, demonstrieren sie die praktische Anwendung der Konzepte und Methoden anhand ausführlicher Fallstudien. Geeignet für Studierende der Statistik sowie für Wissenschaftler und Praktiker, zum Beispiel in den Wirtschafts- und Sozialwissenschaften, der Bioinformatik und -statistik, Ökonometrie und Epidemiologie.
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