Monotone Regrouping, Regression, and Simpson S Paradox

Citation:

Tam, Y. R., & Michael, Howlett, . (2002). Monotone Regrouping, Regression, and Simpson S Paradox. Discussion Papers. presented at the 12, The American Statistician 57 (2003), 139-141. Retrieved from /files/db305.pdf

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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