An alternative measure of ordinal association as a value-validity correction of the Goodman-Kruskal gamma

作者：Kvalseth Tarald O^*

来源：Communications in Statistics - Theory and Methods, 2017, 46(21): 10582-10593.

DOI：10.1080/03610926.2016.1239114

• Correction of gamma
• Goodman-Kruskal gamma
• Kendall's tau
• ordinal association
• value validity

Even though the Goodman-Kruskal gamma (gamma) is perhaps the most popular measure of association between two ordinal categorical variables, it does have some well-known limitations. In particular, it is widely recognized that its sample form (gamma) over cap. takes on values that may be highly inflated, making it incomparable with other measures such as the frequently used Kendall's tau-b ((tau) over cap (b)). Such overstatement of a characteristic, varying in extent, has important implications for the validity and reliability of results and conclusions. By imposing a value-validity condition on association measures, this paper derives an alternative measure (gamma) over cap (c) as a simple correction of (gamma) over cap. The new measure takes on reasonable values throughout its range from -1 to 1 and is quite comparable with (tau) over cap (b), but has advantages over it.

• 出版日期2017