An objective general index for multivariate ordered data

JOURNAL OF MULTIVARIATE ANALYSIS

卷:147

Article

Sei, Tomonari¹ 

[1] Univ Tokyo, Grad Sch Informat Sci & Technol, Dept Math Informat, Bunkyo Ku, 7-3-1 Hongo, Tokyo 1138656, Japan

关键词: Convex minimization;    Correlation;    General index;    Ordered data;    Quantification;    Ranking;   

DOI  :  10.1016/j.jmva.2016.02.005

来源: Elsevier

【 摘 要 】

Multivariate quantitative data are often summarized into a general index as a weighted sum when the variates have a prescribed order. Although the sum of standardized scores is a sensible choice of index, it may have negative correlation with some of the variates. In this paper, a general index that has positive correlation with all the variates is constructed. The index is applied to study the fairness of decathlon scoring. Quantification of ordered categorical data is also discussed. The limit of quantification characterizes the Gaussian distribution. (C) 2016 Elsevier Inc. All rights reserved.

【 授权许可】

Free