Regression Diagnostics

An Introduction

Author: John Fox

Publisher: SAGE

ISBN: 9780803939714

Category: Mathematics

Page: 92

View: 6400

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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Regression Diagnostics

Identifying Influential Data and Sources of Collinearity

Author: David A. Belsley,Edwin Kuh,Roy E. Welsch

Publisher: John Wiley & Sons

ISBN: 0471725145

Category: Mathematics

Page: 292

View: 9377

The Wiley-Interscience Paperback Series consists of selected booksthat have been made more accessible to consumers in an effort toincrease global appeal and general circulation. With these newunabridged softcover volumes, Wiley hopes to extend the lives ofthese works by making them available to future generations ofstatisticians, mathematicians, and scientists. "The title of the book more or less sums up the contents. Itappears to me to represent a real breakthrough in the art ofdealing in ‘unconventional’ data. . . . I found thewhole book both readable and enjoyable. It is suitable for dataanalysts, academic statisticians, and professional softwarewriters." –Journal of the Royal Statistical Society "The book assumes a working knowledge of all of the principalresults and techniques used in least squares multiple regression,as expressed in vector and matrix notation. Given this background,the book is clear and easy to use. . . . The techniques areillustrated in great detail with practical data sets fromeconometrics." –Short Book Reviews, International Statistical Institute Regression Diagnostics: Identifying Influential Data and Sourcesof Collinearity provides practicing statisticians andeconometricians with new tools for assessing quality andreliability of regression estimates. Diagnostic techniques aredeveloped that aid in the systematic location of data points thatare unusual or inordinately influential; measure the presence andintensity of collinear relations among the regression data; andhelp to identify variables involved in each and pinpoint estimatedcoefficients potentially most adversely affected. The bookemphasizes diagnostics and includes suggestions for remedialaction
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Regression Diagnostics

An Introduction

Author: John Fox

Publisher: SAGE

ISBN: 9780803939714

Category: Mathematics

Page: 92

View: 7995

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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Transformation and Weighting in Regression

Author: Raymond J. Carroll

Publisher: Routledge

ISBN: 1351407279

Category: Mathematics

Page: 264

View: 4218

This monograph provides a careful review of the major statistical techniques used to analyze regression data with nonconstant variability and skewness. The authors have developed statistical techniques--such as formal fitting methods and less formal graphical techniques-- that can be applied to many problems across a range of disciplines, including pharmacokinetics, econometrics, biochemical assays, and fisheries research. While the main focus of the book in on data transformation and weighting, it also draws upon ideas from diverse fields such as influence diagnostics, robustness, bootstrapping, nonparametric data smoothing, quasi-likelihood methods, errors-in-variables, and random coefficients. The authors discuss the computation of estimates and give numerous examples using real data. The book also includes an extensive treatment of estimating variance functions in regression.
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An R and S-Plus Companion to Applied Regression

Author: John Fox

Publisher: SAGE

ISBN: 9780761922803

Category: Mathematics

Page: 312

View: 2660

"This book fits right into a needed niche: rigorous enough to give full explanation of the power of the S language, yet accessible enough to assign to social science graduate students without fear of intimidation. It is a tremendous balance of applied statistical "firepower" and thoughtful explanation. It meets all of the important mechanical needs: each example is given in detail, code and data are freely available, and the nuances of models are given rather than just the bare essentials. It also meets some important theoretical needs: linear models, categorical data analysis, an introduction to applying GLMs, a discussion of model diagnostics, and useful instructions on writing customized functions. " —JEFF GILL, University of Florida, Gainesville
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Robust Diagnostic Regression Analysis

Author: Anthony Atkinson,Marco Riani

Publisher: Springer Science & Business Media

ISBN: 9780387950174

Category: Mathematics

Page: 327

View: 7240

The graphs are generated from a robust forward search through the data, which orders the observations by their closeness to the assumed model.".
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Regression Analysis

A Constructive Critique

Author: Richard A. Berk

Publisher: SAGE Publications

ISBN: 1452244863

Category: Social Science

Page: 280

View: 4866

Regression Analysis: A Constructive Critique identifies a wide variety of problems with regression analysis as it is commonly used and then provides a number of ways in which practice could be improved. Regression is most useful for data reduction, leading to relatively simple but rich and precise descriptions of patterns in a data set. The emphasis on description provides readers with an insightful rethinking from the ground up of what regression analysis can do, so that readers can better match regression analysis with useful empirical questions and improved policy-related research. "An interesting and lively text, rich in practical wisdom, written for people who do empirical work in the social sciences and their graduate students." --David A. Freedman, Professor of Statistics, University of California, Berkeley
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Proceedings

... Annual Research Conference

Author: N.A

Publisher: N.A

ISBN: N.A

Category: Census

Page: N.A

View: 3056

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Analysis of Variance, Design, and Regression

Applied Statistical Methods

Author: Ronald Christensen

Publisher: CRC Press

ISBN: 9780412062919

Category: Mathematics

Page: 608

View: 3853

This text presents a comprehensive treatment of basic statistical methods and their applications. It focuses on the analysis of variance and regression, but also addressing basic ideas in experimental design and count data. The book has four connecting themes: similarity of inferential procedures, balanced one-way analysis of variance, comparison of models, and checking assumptions. Most inferential procedures are based on identifying a scalar parameter of interest, estimating that parameter, obtaining the standard error of the estimate, and identifying the appropriate reference distribution. Given these items, the inferential procedures are identical for various parameters. Balanced one-way analysis of variance has a simple, intuitive interpretation in terms of comparing the sample variance of the group means with the mean of the sample variance for each group. All balanced analysis of variance problems are considered in terms of computing sample variances for various group means. Comparing different models provides a structure for examining both balanced and unbalanced analysis of variance problems and regression problems. Checking assumptions is presented as a crucial part of every statistical analysis. Examples using real data from a wide variety of fields are used to motivate theory. Christensen consistently examines residual plots and presents alternative analyses using different transformation and case deletions. Detailed examination of interactions, three factor analysis of variance, and a split-plot design with four factors are included. The numerous exercises emphasize analysis of real data. Senior undergraduate and graduate students in statistics and graduate students in other disciplines using analysis of variance, design of experiments, or regression analysis will find this book useful.
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Applied Regression Analysis and Other Multivariable Methods

Author: David G. Kleinbaum,Lawrence L. Kupper,Azhar Nizam,Eli S. Rosenberg

Publisher: Cengage Learning

ISBN: 128596375X

Category: Mathematics

Page: 1072

View: 9967

This bestseller will help you learn regression-analysis methods that you can apply to real-life problems. It highlights the role of the computer in contemporary statistics with numerous printouts and exercises that you can solve using the computer. The authors continue to emphasize model development, the intuitive logic and assumptions that underlie the techniques covered, the purposes, advantages, and disadvantages of the techniques, and valid interpretations of those techniques. Available with InfoTrac Student Collections http://gocengage.com/infotrac. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.
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Regression Modeling Strategies

With Applications to Linear Models, Logistic Regression, and Survival Analysis

Author: Frank E. Harrell

Publisher: Springer Science & Business Media

ISBN: 9780387952321

Category: Computers

Page: 568

View: 9504

The book will serve as a reference for data analysts and statistical methodologists.
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Regression Diagnostics in Practice

Experiences from Modelling Jet Engine Costs

Author: Jeffrey Bruce Garfinkle,J. L. Birkler

Publisher: N.A

ISBN: N.A

Category: Airplanes

Page: 11

View: 9318

This paper describes how regression diagnostics were used to help develop revised cost-estimating relationships for jet engines. The goal was to derive meaningful, yet easy to use models based on an updated collection of few observations and many variables. First, specific criteria were established for selecting explanatory variables. A variety of numerical and graphical techniques were then used to critique candidate models by examining residuals and evaluating the influence of individual engines. The final models are not only intuitively satisfying, but generally provide better predictions and are easier to use than earlier models. Additionally, the user is provided with a greater understanding of the design and sensitivity of the models, and therefore a better understanding of the actual estimates.
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Introduction to Regression Analysis

Author: Michael A. Golberg,Hokwon A. Cho

Publisher: WIT Press

ISBN: 1853126241

Category: Mathematics

Page: 436

View: 6626

In order to apply regression analysis effectively, it is necessary to understand both the underlying theory and its practical application. This book explores conventional topics as well as recent practical developments, linking theory with application. Intended to continue from where most basic statistics texts end, it is designed primarily for advanced undergraduates, graduate students and researchers in various fields of engineering, chemical and physical sciences, mathematical sciences and statistics.
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