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Monotone Regrouping, Regression, and Simpson’s Paradox

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  • Yosef Rinott
  • Michael Tam

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.

Suggested Citation

  • Yosef Rinott & Michael Tam, 2002. "Monotone Regrouping, Regression, and Simpson’s Paradox," Discussion Paper Series dp305, The Federmann Center for the Study of Rationality, the Hebrew University, Jerusalem.
    • Handle: RePEc:huj:dispap:dp305
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    1. Marco Scarsini & Fabio Spizzichino, 1999. "Simpson-type paradoxes, dependence, and ageing," Post-Print hal-00540264, HAL.
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    Cited by:

    1. Clelia Di Serio & Yosef Rinott & Marco Scarsini, 2009. "Simpson's Paradox in Survival Models," Scandinavian Journal of Statistics, Danish Society for Theoretical Statistics;Finnish Statistical Society;Norwegian Statistical Association;Swedish Statistical Association, vol. 36(3), pages 463-480, September.
    2. Lipovetsky, Stan & Conklin, W. Michael, 2006. "Data aggregation and Simpson's paradox gauged by index numbers," European Journal of Operational Research, Elsevier, vol. 172(1), pages 334-351, July.

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