Multiple and Generalized Nonparametric Regression

by John Fox
Sage Publications, 2000



 

Table of Contents


1. Introduction
    1.1 Two Examples
        1.1.1 Occupational Prestige
        1.1.2 Married Women's Labor-Force Participation
    1.2 Plan of the Monograph
        1.2.1 What is Included?
        1.2.2 What is Missing?
    1.3 Notes on Background, Approach, and Computing

2. Local Polynomial Multiple Regression
    2.1 Review of Local Polynomial Simple Regression
        2.1.1 Selecting Order and Span
        2.1.2 Making Local Polynomial Estimates Resistant to Outliers
        2.1.3 Statistical Inference
    2.2 Kernel Weights in Multiple Regression
    2.3 Span Selection, Statitical Inference, and Order Selection
        2.3.1 Span
        2.3.2 Inference
        2.3.3 Order
    2.4 Obstacles to Nonparametric Multiple Regression
    2.5 An Illustration: Occupational Prestige

3. Additive Regression Models
    3.1 Fitting the Additive Regression Model
    3.2 Some Statistical Details*
        3.2.1 Backfitting
        3.2.2 Statistical Inference
    3.3 Semiparametric Models and Models With Interactions

4. Projection-Pursuit Regression
    4.1 Fitting the Projection-Pursuit Regression Model*
    4.2 Illustrations of Projection-Pursuit Regression
        4.2.1 A Simple Muiltiplicative Model
        4.2.2 Occupational Prestige Reprised

5. Regression Trees
    5.1 Growing and Pruning Trees
    5.2 Reservations about Regression Trees

6. Generalized Nonparametric Regression*
    6.1 Local Likelihood Estimation
    6.2 Generalized Additive Models
        6.2.1 Statistical Inference
        6.2.2 An Illustration: Labor-Force Participation
    6.3 Classification Trees

7. Concluding Remarks: Integrating Nonparametric Regression in Statistical Practice
 



* Material marked by asterisks is relatively difficult.


Last modified: 29 May 2000 by John Fox jfox@mcmaster.ca