R: Calculate Goodman-Kruskal Gamma for ordered tables

GKgamma {vcdExtra} | R Documentation

## 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.

### See Also

`assocstats`, Kappa

### Examples

    data(JobSat)
    GKgamma(JobSat)

[Package vcdExtra version 0.7-1 Index]