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Activity Number: 396
Type: Contributed
Date/Time: Wednesday, August 6, 2008 : 10:30 AM to 12:20 PM
Sponsor: Section on Statistical Education
Abstract - #302399
Title: A Counterintuitive Regression Phenomenon
Author(s): Aiyou Chen and Thomas Bengtsson*+ and Tin K. Ho
Companies: Bell Labs, Alcatel-Lucent and Bell Labs, Alcatel-Lucent
Address: , , ,
Keywords: Reverse regression ; regression paradox
Abstract:

An analysis of customer survey data using direct and reverse regression led to some counter-intuitive conclusion. The phenomenon is known as the regression paradox. We describe sufficient conditions when the regression paradox will appear both analytically and geometrically. In linear models, it is a result of a distribution shift among groups relative to predictability in regression and reverse regression.


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