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| 无序样品聚类分析——Topsis法 |
| Cluster analysis of disordered samples: Topsis method |
| 投稿时间：2024-06-03 修订日期：2024-06-03 |
| DOI： |
| 中文关键词: 无序样品 有序样品 最优方案 最劣方案 欧氏距离 聚类分析 |
| 英文关键词:Disordered samples Ordered samples Optimal scheme Worst scheme Euclidean distance Cluster analysis |
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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。基本概念包括理想方案或最优方案、负理想方案或最劣方案、同趋势化、欧氏距离和综合指标；计算方法涉及Topsis法的计算原理、Topsis法的实施步骤以及计算公式；两个实例分别为“1995年—2004年反映某医院工作质量的10项综合评价指标的专家评估结果”以及“某年我国16省市18~25岁城市男学生体格发育4项指标的调查结果”；借助SAS对两个实例的数据进行了无序样品聚类分析，给出了分档的结果，并对SAS输出结果做出了解释。 |
| 英文摘要: |
| The purpose of this article was to introduce the basic concepts, calculation methods, two examples and their SAS implementations for the cluster analysis of disordered samples. The basic concepts included the ideal scheme or optimal scheme, negative ideal scheme or worst scheme, co-trending, Euclidean distance and comprehensive index. The calculation method involved the calculation principle of Topsis method, the implementation steps and formulas of Topsis method. The data in the two examples were respectively "expert evaluation results of 10 comprehensive evaluation indexes reflecting the work quality of a hospital from 1995 to 2004" and "investigation results of 4 indexes of physical development of urban male students aged 18~25 in 16 provinces and cities of China in a certain year". Using SAS software, the data in the two examples were analyzed by cluster analysis of disordered samples, and then the results of classification were given, and the output results of SAS were explained. |
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