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Monotone Regrouping, Regression, and Simpson’s Paradox

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Author Info
Yosef Rinott ()
Michael Tam ()

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Abstract

We show in a general setup that if data Y are grouped by a covariate X in a certain way, then under a condition of monotone regression of Y on X, a Simpson’s type paradox is natural rather than surprising. This model was motivated by an observation on recent SAT data which are presented.

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Publisher Info
Paper provided by Center for Rationality and Interactive Decision Theory, Hebrew University, Jerusalem in its series Discussion Paper Series with number dp305.

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Length: 7 pages
Date of creation: Dec 2002
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Publication status: Published in The American Statistician, 2003, vol. 57, pp. 139-141.
Handle: RePEc:huj:dispap:dp305

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