A matrix based computational method of the Gini index

Eleni Ketzaki and Nikolaos Farmakis

Communications in Statistics - Theory and Methods, 2023, vol. 52, issue 17, 5923-5941

Abstract: In this study, we propose an improved matrix-based computational method of the Gini index. The proposed method is ideal for large datasets since it calculates the value of the Gini index effectively with high computational speed satisfying the needs of the modern data analysis. In the first part of the study, we introduce the matrix-based computational method for non grouped data and the proposed decomposable form of the Gini index in case of grouped data. The second part of the study validates the proposed methodology comparing the elapsed time for the calculation of the Gini index between the methods. The experimental results prove that the proposed method is superior in terms of the calculation of the index since the elapsed time is significantly reduced in comparison with the methods that already exist.

Date: 2023
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DOI: 10.1080/03610926.2021.2024233

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