Monotone regrouping, regression, and Simpson's Paradox

Yosef Rinott*, Michael Tam

*Corresponding author for this work

Research output: Contribution to journalReview articlepeer-review

9 Scopus citations

Abstract

This article shows 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.

Original languageEnglish
Pages (from-to)139-141
Number of pages3
JournalAmerican Statistician
Volume57
Issue number2
DOIs
StatePublished - May 2003

Keywords

  • Data grouping
  • Monotone regression func-tion
  • SAT data

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