基于数据包络分析方法的修正人类发展指数

IF 0.3 Q4 MATHEMATICS
Y. Salama, R. Hamed, M. Rashwan
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引用次数: 0

摘要

:复合指标被认为是一种数学聚合,广泛用于监控性能、进行基准测试、分析策略和公开沟通。人类发展指数(HDI)是最受欢迎的指数,它通过健康状况、教育状况和生活水平等主要方面的平均成就来衡量人类发展,但它面临着一些积极和消极的批评。此外,HDI与自然资源丰度呈显著正相关。因此,在数学规划方法的基础上,本研究提出了一种新的基于目标规划模型的数据包络分析方法计算HDI;包括缺失值的估计。通过归一化和加权方法的敏感性分析验证了新提出的HDI;除了Wilcoxon符号秩检验。第一个测试显示拟议的人类发展指数与联合国人类发展指数之间的高度正相关。这些测试确保HDI排名高度相关,并且在不同的标准化和加权技术下保持不变。而且,它们反映了成对样本均值不相同。这突出了拟议的人类发展指数的优势属性;保留了目标规划和数据包络分析方法的优点,以及其他方法。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Modified Human Development Index using Data Envelopment Analysis Approach 
: Composite Indicator is considered the mathematical aggregation which has wide usage for monitoring performances, conducting benchmarks, analyzing policies, and communicating publicly. Human Development Index (HDI) is the most popular index which measures human development through average achievement in its main dimensions: Health status, education status, and living standard but it is faced with several critiques, positive and negative. Moreover, HDI was tested to have a positive and significant correlation with natural resource abundance. Therefore, based on Mathematical Programming approaches, previously tested for Composite Indicators’ development, this research proposes a new calculated HDI using a Data Envelopment Analysis approach based on the Goal Programming model; including missing values’ estimation. This new proposed HDI was validated through Sensitivity Analysis of Normalization and Weighting methods; in addition to Wilcoxon Signed Rank Test. The first test shows a positive high correlation between the proposed HDIs and the United Nations HDI. Those tests ensure that HDI rankings are highly correlated and that they are unchanged given the different normalization and weighting techniques. Moreover, they reflect that the paired sample mean is not the same. This highlights the advantageous property of the proposed HDI; preserving both the advantages of Goal Programming and Data Envelopment Analysis approaches, in addition to others.
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来源期刊
CiteScore
0.70
自引率
33.30%
发文量
0
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