publication . Article . 2012

“Simpson’s paradox” as a manifestation of the properties of weighted average (part 1)

Zhekov, Encho;
Open Access Russian
  • Published: 01 Jan 2012 Journal: Статистика и экономика (issn: 2500-3925 , Copyright policy)
  • Publisher: Федеральное государственное бюджетное образовательное учреждение высшего образования «Российский экономический университет имени Г.В. Плеханова»
Abstract
The article proves that the so-called “Simpson's paradox” is a special case of manifestation of the properties of weighted average. In this case always comes to comparing two weighted averages, where the average of the larger variables is less than that of the smaller. The article demonstrates one method for analyzing the relative change of magnitudes of the type: S = Σ ki=1x iy i who gives answer to question: what is the reason, the weighted average of few variables with higher values, to be smaller than the average of few variables with lower values. This method explains “Simpson's paradox”.
Subjects
free text keywords: SIMPSON''S PARADOX, ПАРАДОКС СИМПСОНА, СРЕДНЕВЗВЕШЕННАЯ, МНОГОМЕРНОЕ ПРОСТРАНСТВО
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