Gamma Coefficient Calculator

Instructions: This Gamma Coefficient Calculator computes the value of Gamma, which measures the strength of the association between two ordinal variables. Please first indicate the number of columns and rows for the cross tabulation, and then type the table data:

Num. Rows = Num. Cols =   

Learn More About the Gamma Coefficient

The Gamma statistic \(G\) is a statistic used to measure the strength of association between two ordinal variables, by assessing the proportional reduction of error (PRE) by considering the independent variable when compared to ignoring the independent variable in the prediction of the dependent variable. The Gamma (G) statistic takes values from -1 to 1. Values close to 0 indicate a weak association between the variables and absolute values close to 1 indicate a strong association between the variables.

The Gamma statistic is a symmetrical measure, in the sense that its value does not depend on which variable is considered to be the independent variable.

The Gamma statistic is computed using the following formula:

\[G = \frac{N_s - N_d}{N_s + N_d} \]

where \(N_s\) corresponds to the number of concordant pairs and \(N_d\) corresponds to the number of discordant pairs \(\Box\)

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