Extending the Linear Model with R

Extending the Linear Model with R
Author: Julian J. Faraway
Publisher: CRC Press
Total Pages: 307
Release: 2016-02-10
Genre: Mathematics
ISBN: 0203492285

Linear models are central to the practice of statistics and form the foundation of a vast range of statistical methodologies. Julian J. Faraway's critically acclaimed Linear Models with R examined regression and analysis of variance, demonstrated the different methods available, and showed in which situations each one applies. Following in those footsteps, Extending the Linear Model with R surveys the techniques that grow from the regression model, presenting three extensions to that framework: generalized linear models (GLMs), mixed effect models, and nonparametric regression models. The author's treatment is thoroughly modern and covers topics that include GLM diagnostics, generalized linear mixed models, trees, and even the use of neural networks in statistics. To demonstrate the interplay of theory and practice, throughout the book the author weaves the use of the R software environment to analyze the data of real examples, providing all of the R commands necessary to reproduce the analyses. All of the data described in the book is available at http://people.bath.ac.uk/jjf23/ELM/ Statisticians need to be familiar with a broad range of ideas and techniques. This book provides a well-stocked toolbox of methodologies, and with its unique presentation of these very modern statistical techniques, holds the potential to break new ground in the way graduate-level courses in this area are taught.

Multiple and Generalized Nonparametric Regression

Multiple and Generalized Nonparametric Regression
Author: John Fox
Publisher: SAGE Publications
Total Pages: 100
Release: 2000-05-01
Genre: Social Science
ISBN: 1544332602

This book builds on John Fox′s previous volume in the QASS Series, Non Parametric Simple Regression. In this monograph readers learn to estimate and plot smooth functions when there are multiple independent variables. While regression analysis traces the dependence of the distribution of a response variable to see if it bears a particular (linear) relationship to one or more of the predictors, nonparametric regression analysis makes minimal assumptions about the form of relationship between the average response and the predictors. This makes nonparametric regression a more useful technique for analyzing data in which there are several predictors that may combine additively to influence the response. (An example could be something like birth order/gender/and temperament on achievement motivation). Unfortunately, researchers have not had accessible information on nonparametric regression analysis, until now. Beginning with presentation of nonparametric regression based on dividing the data into bins and averaging the response values in each bin, Fox introduces readers to the techniques of kernel estimation, additive nonparametric regression, and the ways nonparametric regression can be employed to select transformations of the data preceding a linear least-squares fit. The book concludes with ways nonparametric regression can be generalized to logit, probit, and Poisson regression.

Nonparametric Regression and Generalized Linear Models

Nonparametric Regression and Generalized Linear Models
Author: P.J. Green
Publisher: CRC Press
Total Pages: 197
Release: 1993-05-01
Genre: Mathematics
ISBN: 1482229757

Nonparametric Regression and Generalized Linear Models focuses on the roughness penalty method of nonparametric smoothing and shows how this technique provides a unifying approach to a wide range of smoothing problems. The emphasis is methodological rather than theoretical, and the authors concentrate on statistical and computation issues. Real data examples are used to illustrate the various methods and to compare them with standard parametric approaches. The mathematical treatment is self-contained and depends mainly on simple linear algebra and calculus. This monograph will be useful both as a reference work for research and applied statisticians and as a text for graduate students.

The Oxford Handbook of Applied Nonparametric and Semiparametric Econometrics and Statistics

The Oxford Handbook of Applied Nonparametric and Semiparametric Econometrics and Statistics
Author: Jeffrey Racine
Publisher: Oxford University Press
Total Pages: 562
Release: 2014-04
Genre: Business & Economics
ISBN: 0199857946

This volume, edited by Jeffrey Racine, Liangjun Su, and Aman Ullah, contains the latest research on nonparametric and semiparametric econometrics and statistics. Chapters by leading international econometricians and statisticians highlight the interface between econometrics and statistical methods for nonparametric and semiparametric procedures.

Resistant Techniques for Nonparametric Regression, Generalized Linear and Additive Models

Resistant Techniques for Nonparametric Regression, Generalized Linear and Additive Models
Author: Eva Cantoni
Publisher:
Total Pages: 129
Release: 1999
Genre:
ISBN:

Une classe de M-estimateurs et une famille de statistique de test y sont développées. Les propriétés statistiques de ces estimateurs et de ces tests sont obtenues. La dernière partie de la thèse transfère les techniques développées dans la régression paramétrique et non-paramétrique dans le cadre des modèles additifs généralisés. Tout au long de ce travail on a prêté à une attention particulière aux possibilités d'implémentation des méthodes proposées.

Multiple and Generalized Nonparametric Regression

Multiple and Generalized Nonparametric Regression
Author: John Fox
Publisher: SAGE
Total Pages: 100
Release: 2000-05
Genre: Mathematics
ISBN: 9780761921899

This volume introduces this useful technique which makes minimal assumptions about the form of relationship between the average response and the predictors.

Generalized Additive Models

Generalized Additive Models
Author: T.J. Hastie
Publisher: Routledge
Total Pages: 352
Release: 2017-10-19
Genre: Mathematics
ISBN: 1351445979

This book describes an array of power tools for data analysis that are based on nonparametric regression and smoothing techniques. These methods relax the linear assumption of many standard models and allow analysts to uncover structure in the data that might otherwise have been missed. While McCullagh and Nelder's Generalized Linear Models shows how to extend the usual linear methodology to cover analysis of a range of data types, Generalized Additive Models enhances this methodology even further by incorporating the flexibility of nonparametric regression. Clear prose, exercises in each chapter, and case studies enhance this popular text.