无序样品聚类分析——秩和比法
Cluster analysis of disordered samples: rank sum ratio method
投稿时间:2024-06-03  修订日期:2024-06-03
DOI:
中文关键词:  秩和比  无序样品  有序样品  高优指标  低优指标  权重系数
英文关键词:Rank-sum ratio  Disordered samples  Ordered samples  High-benefit indicators  Low-benefit indicators  Weight coefficients
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作者单位地址
胡纯严 军事科学院研究生院 北京海淀厢红旗东门外甲1号
胡良平* 军事科学院研究生院 北京海淀厢红旗东门外甲1号
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中文摘要:
      本文目的是介绍与无序样品聚类分析有关的基本概念、计算方法、两个实例以及使用SAS实现计算的方法。基本概念包括秩变换、高优指标或效益型指标、望目指标、偏高优指标与稍高优指标、与秩和比法有关的概念;计算方法涉及两种思路所对应的公式,其一,以全部数据个数为分母时,假定评价指标无权重系数和有权重系数两种条件下,计算各评价对象秩和比的公式。其二,以全部秩次之和为分母时,假定评价指标无权重系数和有权重系数两种条件下,计算各评价对象秩和比的公式;两个实例分别为“不同密度形式的5项经济指标及其取值”以及“农业生产力评级指标样本集”;借助SAS对两个实例中的评价对象进行综合评价,包括对评价对象的排序和分档的结果。
英文摘要:
      The purpose of this article was to introduce the basic concepts, computational methods, two examples and their SAS implementations related to cluster analysis of disordered samples. The basic concepts included rank transformation, high-benefit indicators or benefit-type indicators, expected target indicators, slightly higher optimal indicators, and concepts related to the rank-sum ratio method. The computational methods involved formulas corresponding to two approaches. The first was when the denominator was the total number of data points, under the assumption that the evaluation indicators had no weight coefficient or had weight coefficients, the formulas for calculating the rank-sum ratio of each evaluation object were presented. The second was when the denominator was the sum of all ranks, under the assumption that the evaluation indicators had no weight coefficient or had weight coefficients, the formulas for calculating the rank-sum ratio of each evaluation object were also presented. The data in the two examples were "5 economic indicators and their values in different density forms" and "a sample set of agricultural productivity rating indicators", respectively. Using SAS software, a comprehensive evaluation of the evaluation objects in the two examples was conducted, including the results of ranking and grading the evaluation objects.
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