Jackknife empirical likelihood confidence intervals for the categorical Gini correlation

• Published in: Journal of statistical planning and inference Vol. 231; p. 106123
• Main Authors: Hewage, Sameera, Sang, Yongli
• Format: Journal Article
• Language: English
• Published: Elsevier B.V 01.07.2024
• Subjects: Categorical Gini correlation; Jackknife empirical likelihood; Wilk’s theorem; Jackknife empirical likelihood; Wilk’s theorem; 62H20; Categorical Gini correlation; 62H12
• ISSN: 0378-3758; 1873-1171
• DOI: 10.1016/j.jspi.2023.106123

The categorical Gini correlation, ρg, was proposed by Dang et al. (2021) to measure the dependence between a categorical variable, Y, and a numerical variable, X. It has been shown that ρg has more appealing properties than current existing dependence measurements. In this paper, we develop the jackknife empirical likelihood (JEL) method for ρg. 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. •Confidence intervals for the categorical Gini correlation are constructed without knowing the underlying distributions.•The proposed project is easy to implement without estimating the complicated asymptotic variance.•The proposed project is computational efficient.