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.

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.

Multiple and Generalized Nonparametric Regression

Multiple and Generalized Nonparametric Regression
Author: Nathaniel E. Helwig
Publisher:
Total Pages: 0
Release: 2020
Genre: Anthropology
ISBN: 9781526421036

This entry provides an overview of multiple and generalized nonparametric regression from a smoothing spline perspective. Details are provided on smoothing parameter selection for Gaussian and non-Gaussian data, diagnostic and inferential tools for function estimates, function and penalty representations for models with multiple predictors, and the iteratively reweighted penalized least squares algorithm for the function estimation. Two different smoothing frameworks are compared: smoothing spline analysis of variance (SSANOVA) and generalized additive models (GAMs). Examples with supporting R code are provided.

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.

Nonparametric and Semiparametric Models

Nonparametric and Semiparametric Models
Author: Wolfgang Karl Härdle
Publisher: Springer Science & Business Media
Total Pages: 317
Release: 2012-08-27
Genre: Mathematics
ISBN: 364217146X

The statistical and mathematical principles of smoothing with a focus on applicable techniques are presented in this book. It naturally splits into two parts: The first part is intended for undergraduate students majoring in mathematics, statistics, econometrics or biometrics whereas the second part is intended to be used by master and PhD students or researchers. The material is easy to accomplish since the e-book character of the text gives a maximum of flexibility in learning (and teaching) intensity.

Nonparametric Simple Regression

Nonparametric Simple Regression
Author: John Fox
Publisher: SAGE
Total Pages: 100
Release: 2000-01-20
Genre: Social Science
ISBN: 9780761915850

Nonparametric simple regression forms the basis for nonparametric multiple regression and directly supplies the building blocks for the type of nonparametric multiple regression called additive regression.

Bayesian and Frequentist Regression Methods

Bayesian and Frequentist Regression Methods
Author: Jon Wakefield
Publisher: Springer Science & Business Media
Total Pages: 700
Release: 2013-01-04
Genre: Mathematics
ISBN: 1441909257

Bayesian and Frequentist Regression Methods provides a modern account of both Bayesian and frequentist methods of regression analysis. Many texts cover one or the other of the approaches, but this is the most comprehensive combination of Bayesian and frequentist methods that exists in one place. The two philosophical approaches to regression methodology are featured here as complementary techniques, with theory and data analysis providing supplementary components of the discussion. In particular, methods are illustrated using a variety of data sets. The majority of the data sets are drawn from biostatistics but the techniques are generalizable to a wide range of other disciplines.