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判别分析——逐步判别分析法 |
Liu Huigang1,Hu Chunyan2, Hu Liangping2,3*(1. School of Basic Medical Sciences, Capital Medical University, Beijing 100069,China; |
投稿时间:2025-02-20 修订日期:2025-02-20 |
DOI: |
中文关键词: 判别分析——逐步判别分析法 |
英文关键词:Data standardization Variable selection Wilks' λ statistic Stepwise discrimination Classification decision |
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中文摘要: |
本文目的是介绍与逐步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“逐步判别分析”“数据标准化”“变量筛选”“维尔克斯λ统计量”和“假设检验”;计算方法涉及“数据标准化”“构建初始模型”“选择进入模型的变量”“假设检验”“选择剔除模型的变量”“构建判别函数”和“分类决策”;两个实例中的资料分别是“七类鱼在6个定量指标上的测定结果”和“三类鸢条属植物在4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逐步判别分析,最后给出每个实例所对应的总误判率。 |
英文摘要: |
【】The purpose of this article was to introduce the basic concepts, computational methods, two examples, and the implementation using SAS software for stepwise discriminant analysis. Basic concepts included "stepwise discriminant analysis," "data standardization," "variable selection," "Wilks" λ statistic," and "hypothesis testing." The computational methods involved "data normalization," "building an initial model," "selecting variables to enter the model," "hypothesis testing," "choosing variables to remove from the model," "constructing discriminant functions," and "classification decision-making." The data in the two examples were "measurement results of seven types of fish on six quantitative indicators" and "measurement results of three types of iris plants on four quantitative indicators." With the help of SAS software, stepwise discriminant analysis was performed on the data from both examples, and finally, the overall misclassification rates corresponding to each example were provided. |
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