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A Partial Coefficient for Goodman and Kruskal's Gamma

 

作者: JamesA. Davis,  

 

期刊: Journal of the American Statistical Association  (Taylor Available online 1967)
卷期: Volume 62, issue 317  

页码: 189-193

 

ISSN:0162-1459

 

年代: 1967

 

DOI:10.1080/01621459.1967.10482900

 

出版商: Taylor & Francis Group

 

数据来源: Taylor

 

摘要:

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

 

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