Nonparametric Simple Regression

Smoothing Scatterplots
Nonparametric Simple Regression
January 2000 | 96 pages | Sage US
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Description

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.

Learn more about "The Little Green Book" - QASS Series! Click Here

Contents

What Is Nonparametric Regression?

What Is Nonparametric Regression?

Binning and Local Averaging

Binning and Local Averaging

Kernel Estimation

Kernel Estimation

Local Polynomial Regression

Local Polynomial Regression

Splines

Splines

Nonparametric Regression and Data Analysis

Nonparametric Regression and Data Analysis

Description

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.

Learn more about "The Little Green Book" - QASS Series! Click Here

Contents

What Is Nonparametric Regression?

What Is Nonparametric Regression?

Binning and Local Averaging

Binning and Local Averaging

Kernel Estimation

Kernel Estimation

Local Polynomial Regression

Local Polynomial Regression

Splines

Splines

Nonparametric Regression and Data Analysis

Nonparametric Regression and Data Analysis

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Nonparametric Simple Regression

Smoothing Scatterplots


January 2000 | 96 pages | Sage US

Format Published Date ISBN Price

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.

Learn more about "The Little Green Book" - QASS Series! Click Here


Table Of Contents:

  • What Is Nonparametric Regression?
  • Binning and Local Averaging
  • Kernel Estimation
  • Local Polynomial Regression
  • Splines
  • Nonparametric Regression and Data Analysis

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