Calculate Goodman-Kruskal Gamma for ordered tables

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

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()

Author

Michael Friendly; original version by Laura Thompson

Examples

data(JobSat)
GKgamma(JobSat)
#> gamma        : 0.221 
#> std. error   : 0.117 
#> CI           : -0.009 0.451