GKgamma: Calculate Goodman-Kruskal Gamma for ordered tables

In vcdExtra: 'vcd' Extensions and Additions

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)

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 !=0

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 disconcordant 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

Examples

data(JobSat)
GKgamma(JobSat)

Example output

Loading required package: vcd
Loading required package: MASS
Loading required package: grid
Loading required package: colorspace
Loading required package: gnm
gamma        : 0.221 
std. error   : 0.117 
CI           : -0.009 0.451 

vcdExtra documentation built on May 31, 2017, 4:57 a.m.