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.
- 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.
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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|Defining Robust Regression|
|A Real-World Example: Coital Frequency of Married Couples in the 1970s|
|Bias and Consistency|
|Measures of Location|
|Measures of Scale|
|Comparing Various Estimates|
|Ordinary Least Squares Regression|
|Implications of Unusual Cases for OLS Estimates and Standard Errors|
|Detecting Problematic Observations in OLS Regression|
|Comparing the Various Estimators|
|Diagnostics Revisited: Robust Regression-Related Methods for Detecting Outliers|
|Asymptotic Standard Errors for Robust Regression Estimators|
|Bootstrapped Standard Errors|
|The Generalized Linear Model|
|Detecting Unusual Cases in Generalized Linear Models|
|Robust Generalized Linear Models|