vcdExtra: GKgamma – R documentation

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GKgamma

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)

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.

Examples

data(JobSat)
GKgamma(JobSat)

vcdExtra

'vcd' Extensions and Additions

v0.7-5

GPL (>= 2)

Authors

Michael Friendly [aut, cre], Heather Turner [ctb], Achim Zeileis [ctb], Duncan Murdoch [ctb], David Firth [ctb]

Initial release

2021-01-22