GKgamma: Calculate Goodman-Kruskal Gamma for ordered tables

In vcdExtra: 'vcd' Extensions and Additions

Calculate Goodman-Kruskal Gamma for ordered tables

Description

The Goodman-Kruskal \gamma statistic is a measure of association for ordinal factors in a two-way table proposed by Goodman and Kruskal (1954).

Usage

GKgamma(x, level = 0.95)

## S3 method for class 'GKgamma'
print(x, digits = 3, ...)

Arguments

x	A two-way frequency table, in matrix or table form. The rows and columns are considered to be ordinal factors
level	Confidence level for a significance test of \gamma \ne =
digits	number to digits to use in the print method
...	other arguments (unused), for conformity with the print generic

Value

Returns an object of class "GKgamma" with 6 components, as follows

gamma

The gamma statistic

C

Total number of concordant pairs in the table

D

Total number of discordant pairs in the table

sigma

Standard error of gamma

CIlevel

Confidence level

CI

Confidence interval

Author(s)

Michael Friendly; original version by Laura Thompson

References

Agresti, A. Categorical Data Analysis. John Wiley & Sons, 2002, pp. 57–59.

Goodman, L. A., & Kruskal, W. H. (1954). Measures of association for cross classifications. Journal of the American Statistical Association, 49, 732-764.

Goodman, L. A., & Kruskal, W. H. (1963). Measures of association for cross classifications III: Approximate sampling theory. Journal of the American Statistical Association, 58, 310-364.

See Also

assocstats, Kappa

Other association tests: CMHtest(), HLtest(), zero.test()

Examples

data(JobSat)
GKgamma(JobSat)

vcdExtra documentation built on Dec. 11, 2025, 9:06 a.m.