
arXiv: 2310.09646
The categorical Gini correlation, $ρ_g$, was proposed by Dang et al. to measure the dependence between a categorical variable, $Y$ , and a numerical variable, $X$. It has been shown that $ρ_g$ has more appealing properties than current existing dependence measurements. In this paper, we develop the jackknife empirical likelihood (JEL) method for $ρ_g$. Confidence intervals for the Gini correlation are constructed without estimating the asymptotic variance. Adjusted and weighted JEL are explored to improve the performance of the standard JEL. Simulation studies show that our methods are competitive to existing methods in terms of coverage accuracy and shortness of confidence intervals. The proposed methods are illustrated in an application on two real datasets.
Methodology (stat.ME), FOS: Computer and information sciences, jackknife empirical likelihood, Nonparametric tolerance and confidence regions, Measures of association (correlation, canonical correlation, etc.), Estimation in multivariate analysis, Wilk's theorem, categorical Gini correlation, Statistics - Methodology
Methodology (stat.ME), FOS: Computer and information sciences, jackknife empirical likelihood, Nonparametric tolerance and confidence regions, Measures of association (correlation, canonical correlation, etc.), Estimation in multivariate analysis, Wilk's theorem, categorical Gini correlation, Statistics - Methodology
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