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ERIC Number: EJ865095
Record Type: Journal
Publication Date: 2009
Pages: 27
Abstractor: As Provided
Reference Count: 39
ISSN: ISSN-0027-3171
Consistent Small-Sample Variances for Six Gamma-Family Measures of Ordinal Association
Woods, Carol M.
Multivariate Behavioral Research, v44 n4 p525-551 2009
Gamma-family measures are bivariate ordinal correlation measures that form a family because they all reduce to Goodman and Kruskal's gamma in the absence of ties (1954). For several gamma-family indices, more than one variance estimator has been introduced. In previous research, the "consistent" variance estimator described by Cliff and colleagues produced more accurate confidence intervals (CIs) than 3 other types of variances. However, the Cliff consistent (CC) variance is available for only 4 of 10 gamma-family measures. In the present research, a CC variance is derived for the remaining 6 gamma-family measures, and CIs constructed with the CC variance are compared with CIs constructed using other available variance estimators. The CIs are evaluated and compared in simulations and illustrated with scores on the Disinhibition and Avoidance scales of the Schedule for Nonadaptive and Adaptive Personality. Computer code for calculating all 10 gamma-family measures and their CC variances (using the R program) is available on a Web site ( (Contains 8 figures, 6 tables, and 5 footnotes.)
Psychology Press. Available from: Taylor & Francis, Ltd. 325 Chestnut Street Suite 800, Philadelphia, PA 19106. Tel: 800-354-1420; Fax: 215-625-2940; Web site:
Publication Type: Journal Articles; Reports - Research
Education Level: N/A
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A