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| 判别分析两类Fisher二次型判别分析法 |
| Hu Chunyan1,Liu Huigang2,Hu Liangping1,3*(1.Graduate School, Academy of Military Sciences PLA China, Beijing 100850, China; |
| 投稿时间：2025-04-25 修订日期：2025-04-25 |
| DOI： |
| 中文关键词: 二次型判别分析 类内距离 先验概率 判别准则 分类规则 |
| 英文关键词:Quadratic discriminant analysis Within-class distance Prior probability |
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| 中文摘要: |
| 【】本文目的是介绍与两类Fisher二次型判别分析有关的基本概念、计算方法、两个实例及其用SAS实现计算的方法。基本概念包括二次型判别函数、特征维度、类内距离、类间距离和先验概率。计算方法涉及问题设定、判别准则、构建二次型判别函数和分类规则。两个实例中的资料分别是“两类盐矿样品4项定量指标的测定结果)”与“66条康乔水蛇的有关数据”。借助SAS软件,对两个实例中的数据进行了两类Fisher二次型判别分析,对SAS输出结果给出了解释。 |
| 英文摘要: |
| 【】The purpose of this paper was to introduce the fundamental concepts, computational methods, two examples, and the implementation of these methods using SAS software related to two-class Fisher quadratic discriminant analysis. The fundamental concepts included quadratic discriminant functions, feature dimensionality, within-class distance, between-class distance, and prior probabilities. The computational methods involved problem formulation, discriminant criteria, construction of quadratic discriminant functions, and classification rules. The two examples included data on "the measurement results of four quantitative indicators from two classes of salt mine samples" and " data on 66 Kangqiao water snakes ". Using SAS software, a two-class Fisher quadratic discriminant analysis was performed on the data from these two examples, and the SAS output results were interpreted. |
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