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Introduction to Robust Estimation and Hypothesis Testing

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ISBN-10: 0127515453

ISBN-13: 9780127515458

Edition: 1997

Authors: Rand R. Wilcox

List price: $89.95
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Description:

Introduction to Robust Estimation and Hypothesis Testing focuses on the practical applications of modern, robust statistical methods. The increased accuracy and power of modern methods is remarkable compared tothe conventional approaches of the analysis of variance (ANOVA) and regression. Through a combination of theoretical developments, improved and more flexible statistical methods, and the power of the computer, it is now possible to address problems withstandard methods that seemed insurmountable only a few years ago. This book provides a thorough, up-to-date explanation of the foundation of robust methods for beginners. It guides the reader through the basic strategies used for…    
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Book details

List price: $89.95
Copyright year: 1997
Publisher: Elsevier Science & Technology Books
Publication date: 3/24/1997
Binding: Hardcover
Pages: 296
Size: 6.50" wide x 9.50" long x 0.75" tall
Weight: 1.298
Language: English

Rand R. Wilcox has a Ph.D. in psychometrics, is a professor of psychology at the University of Southern California, and a Fellow of the Royal Statistics Society and American Psychological Society. He is an internationally recognized expert in the field of Applied Statistics and has concentrated much of his research in the area of ANOVA and Regression. He has authored twobooks and more than 130 journal articles.

Practical Reasons for Using Robust Methods
A Foundation for Robust Methods
Estimating Measures of Location and Scale
Confidence Intervals in the One-Sample Case
Comparing Two Groups
One-Way and Higher Designs
Correlationand Related Issues
Robust Regression
More Regression Methods
Practical Reasons for Using Robust Methods: Problems with Assuming Normality
Transformations
The Influence Curve
Is the ANOVA F Robust? Regression
More Remarks
Using the Computer
A Foundation for Robust Methods: Basic Tools for Judging Robustness
Some Measures of Location and Their Influence Function
Measures of Scale
Scale Equivariant M-Measures of Location
Winsorized Expected Values
Estimating Measures of Location and Scale: The Sample Timmed Mean
The Finite Sample Breakdown Point
Estimating Quantiles
An M-Estimator of Location
One-Step M-estimator
W-estimators
Some Comparisons of the Locaiton Estimators
More Measures of Scale
Exercises
Confidence Intervals in the One-Sample Case: Problems When Working with Means
The g-and-h Distribution
Inferences About the Trimmed Mean
Inferences About M-Estimators
Confidence Intervals for Quantiles
Concluding Remarks
Exercises
Comparing Two Groups: The Shift Function
Student's Test
The Yuen-Welch Test
Comparing M-Estimators
Comparing Biweight Midvariances
Inferences about p
Comparing Dependent Groups
Exercises
One Way and Higher Dseigns: Trimmed Means in a One-Way Design
Multiple Comparisons and Linear Constrsts
A Random Effects Model for Trimmed Means
Comparing M-Measures of Location
A Ranked-Based Test
A One-Way Design with Dependent Groups
A split-Plot Design
Some Concluding Remarks
Exercises
Correlation and Related Issues: Problems with the Product Moemt Correlation
The Percentage Bend Correlation
The Biweight Midcovariance
Multivariate Measures of Location and Scatter
Minimum Volume Ellipsoid Estimator
Exercises
Robust Regression: Problems with Ordinary Least Squares
M-Estimator
The Hat Matrix
Generalized M-Estimators
The Coakley-Hettmansperger Estimator
A Criticism of Methods with a High Breakdown Point
The Biweight Midregression Method
Alternative Estimation Procedures
Exercises
More Regression Methods: Omnibus Tests for Regression Parameters.Comparing the Parameters of Two Independent Groups
Curvilinearity
ANCOVA
Exercises
Subject Index