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Modern Methods for Robust Regression

Modern Methods for Robust Regression

September 2007 | 128 pages | SAGE Publications, Inc

Modern Methods for Robust Regression offers a brief but in-depth treatment of various methods for detecting and properly handling influential cases in regression analysis. This volume, geared toward both future and practicing social scientists, is unique in that it takes an applied approach and offers readers empirical examples to illustrate key concepts. It is ideal for readers who are interested in the issues related to outliers and influential cases.

Key Features

  • Defines key terms necessary to understanding the robustness of an estimator: Because they form the basis of robust regression techniques, the book also deals with various measures of location and scale.
  • Addresses the robustness of validity and efficiency: After having described the robustness of validity for an estimator, the author discusses its efficiency.
  • Focuses on the impact of outliers: The book compares the robustness of a wide variety of estimators that attempt to limit the influence of unusual observations.
  • Gives an overview of some traditional techniques: Both formal statistical tests and graphical methods detect influential cases in the general linear model.
  • Offers a Web appendix: This volume provides readers with the data and the R code for the examples used in the book.

Intended Audience

This is an excellent text for intermediate and advanced Quantitative Methods and Statistics courses offered at the graduate level across the social sciences.

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List of Figures
List of Tables
Series Editor's Introduction
1. Introduction
Defining Robustness

Defining Robust Regression

A Real-World Example: Coital Frequency of Married Couples in the 1970s

2. Important Background
Bias and Consistency

Breakdown Point

Influence Function

Relative Efficiency

Measures of Location

Measures of Scale


Comparing Various Estimates


3. Robustness, Resistance, and Ordinary Least Squares Regression
Ordinary Least Squares Regression

Implications of Unusual Cases for OLS Estimates and Standard Errors

Detecting Problematic Observations in OLS Regression


4. Robust Regression for the Linear Model





Generalized S-Estimators


Comparing the Various Estimators

Diagnostics Revisited: Robust Regression-Related Methods for Detecting Outliers


5. Standard Errors for Robust Regression
Asymptotic Standard Errors for Robust Regression Estimators

Bootstrapped Standard Errors


6. Influential Cases in Generalized Linear Models
The Generalized Linear Model

Detecting Unusual Cases in Generalized Linear Models

Robust Generalized Linear Models


7. Conclusions
Appendix: Software Considerations for Robust Regression
About the Author
Key features


  • This volume offers applied coverage of a topic that has traditionally been discussed from a theoretical standpoint.
  • The authors uses empirical examples to illustrate key concepts,
  • A Web Appendix provides readers with the data and the R-code for the examples used in the book.


Sample Materials & Chapters

Chapter 2

Chapter 4

Chapter 6

Sage College Publishing

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Go To College Site

This title is also available on SAGE Research Methods, the ultimate digital methods library. If your library doesn’t have access, ask your librarian to start a trial.