An investigation of the median-median method of linear regression.


Authors: 
Walters, E. J., Morrell, C. H., & Auer, R. E.
Editors: 
Stephenson, W. R.
Category: 
Volume: 
14(2)
Year: 
2006
Publisher: 
Journal of Statistics Education.
URL: 
http://www.amstat.org/publications/jse/v14n2/morrell.html
Abstract: 

Least squares regression is the most common method of fitting a straight 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 with middle and high school students to motivate the idea of fitting a straight line to data. The median-median line may also be viewed as a method that is not greatly affected by outliers (robust to 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.

The CAUSE Research Group is supported in part by a member initiative grant from the American Statistical Association’s Section on Statistics and Data Science Education