Homogeneity of Subpopulations and Simpson's Paradox
研究了合并子总体数据时可能出现的三种悖论，提出同质性定义作为避免尤尔逆转悖论的充分条件，并探讨其与林德利和诺维克必要条件的联系。
Abstract Pooling of information from subpopulations achieves data compactification, but some characteristics of the data are lost in the process. The greatest danger in amalgamating contingency tables is the possibility of a resulting paradox. Many such have been noted since 1903, when Yule first noticed this phenomenon. We note three types of paradoxes. The definition of homogeneity proposed here is a sufficient condition to avoid Yule's Reversal Paradox. We look at interpretations of this definition and some examples. We also explore the connection of this definition with Lindley and Novick's necessary condition for the paradox.