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| 判别分析¾两类Fisher线性判别分析法 |
| Discriminant analysis¾ Two-Class Fisher Linear Discriminant AnalysisHu Chunyan1, Liu Huigang2, Hu Liangping1,3* |
| 投稿时间：2025-04-25 修订日期：2025-04-25 |
| DOI： |
| 中文关键词: Fisher线性判别分析 线性判别函数 协方差矩阵 判别准则 分类规则 |
| 英文关键词:Fisher linear discriminant analysis linear discriminant function covariance matrix discriminant criterion classification rules |
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| 中文摘要: |
| 本文目的是介绍与两类Fisher线性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。基本概念包括线性判别函数、Fisher判别分析、协方差矩阵、判别准则和分类规则。计算方法涉及问题设定、判别准则、构建线性判别函数和分类规则。两个实例中的资料分别是“22例处于早期和晚期的某病患者三个定量指标的测定结果”与“24个家庭在两个定量指标上的测定结果”。借助SAS软件,对两个实例中的数据进行了两类Fisher线性判别分析,对SAS输出结果给出了解释。 |
| 英文摘要: |
| The purpose of this paper was to introduce the basic concepts, calculation methods, two examples, and the implementation of calculations using SAS software related to two classes of Fisher linear discriminant analysis. The basic concepts included linear discriminant function, Fisher discriminant analysis, covariance matrix, discriminant criterion, and classification rules; the calculation methods involved problem setting, discriminant criterion, construction of linear discriminant functions, and classification rules; the two examples consisted of data from "the measurement results of three quantitative indicators in 22 patients with a certain disease in early and late stages" and "the measurement results of two quantitative indicators in 24 families"; using SAS software, Fisher linear discriminant analysis was performed on the data from the two examples, and the SAS output results were interpreted. |
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