Abstract #301176

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JSM 2003 Abstract #301176
Activity Number: 181
Type: Contributed
Date/Time: Monday, August 4, 2003 : 2:00 PM to 3:50 PM
Sponsor: Section on Statistical Education
Abstract - #301176
Title: An Investigation of the Median-Median Method of Linear Regression
Author(s): Elizabeth J. Walters*+ and Christopher H. Morrell and Richard E. Auer
Companies: Loyola College in Maryland and Loyola College in Maryland and Loyola College in Maryland
Address: Department of Mathematical Sciences, Baltimore, MD, 21210-2601,
Keywords: linear regression ; median-median line ; least squares line
Abstract:

Least squares regression is the most common method of fitting a line to a set of bivariate data. Another less known method that is available on Texas Instruments graphing calculators is median-median regression. This method is proposed as a simple method that may be used in middle and high schools to motivate the idea of fitting a line to data. The median-median line may also be viewed as a method that is robust against outliers. Our paper briefly reviews the median-median regression method, considers various examples to compare the median-median line to the least squares line, and investigates the properties of the median-median line versus the least squares line using a simulation study.

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