A Partial Coefficient for Goodman and Kruskal's Gamma

作者: James A. Davis

DOI: 10.1080/01621459.1967.10482900

关键词: Measure (mathematics)Goodman and Kruskal's gammaGoodman and Kruskal's lambdaInterpretation (model theory)CombinatoricsKruskal's algorithmMathematics

摘要: Abstract Following Goodman and Kruskal's interpretation of their coefficient, γA,B, a partial γA, B|C is defined as “how much more probable it to get like than unlike orders in measures A B when pairs individuals differing on tied C but unselected any other measure are chosen at random from the population.” It shown that this coefficient weighted sum values γ various strata by categories C, where weight stratum i its proportion total which differ C. An empirical example illustrates calculation co-efficient.

参考文章(3)
Leo A. Goodman, William H. Kruskal, Measures of Association for Cross Classifications III: Approximate Sampling Theory Journal of the American Statistical Association. ,vol. 58, pp. 310- 364 ,(1963) , 10.1007/978-1-4612-9995-0_3
Leo A Goodman, William H Kruskal, Leo A Goodman, William H Kruskal, Measures of association for cross classifications ,(1979)
Leo A. Goodman, Simultaneous Confidence Limits for Cross-Product Ratios in Contingency Tables Journal of the Royal Statistical Society: Series B (Methodological). ,vol. 26, pp. 86- 102 ,(1964) , 10.1111/J.2517-6161.1964.TB00543.X