Monotone Regrouping, Regression, and Simpson’s Paradox

Yosef Rinott and Michael Tam ()

Discussion Paper Series from The Federmann Center for the Study of Rationality, the Hebrew University, Jerusalem

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.

Pages: 7 pages
Date: 2002-12
New Economics Papers: this item is included in nep-ecm
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Published in The American Statistician, 2003, vol. 57, pp. 139-141.

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Journal Article: Monotone Regrouping, Regression, and Simpsons Paradox (2003)
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