Chapter 7 Discriminant Analysis (判别分析)
zf Chapter 7 Discriminant Analysis (判别分析）
Presentation outline a 1 What is discriminant analysis? 日2、 Two populations discriminant analysis a 3 More than two populations discriminant analysis distance discriminant analysis Bayes discriminant analysis -Fisher discriminant analysis variable selection discriminant analysis (forward discriminant analysis) backward discriminant analysis) (stepwise discriminant analysis) 2021/2/22 2 cxt
2021/2/22 2 cxt Presentation Outline 1、What is discriminant analysis? 2、Two populations discriminant analysis 3、More than two populations discriminant analysis －distance discriminant analysis －Bayes discriminant analysis －Fisher discriminant analysis －variable selection discriminant analysis (forward discriminant analysis) ( backward discriminant analysis) (stepwise discriminant analysis)
7.1 what is discriminant analysis? 什么是判别分析? A Discriminant analysis is a multivariate technique that can be used to build rules according to other samples having classify information that can classify a new thing into the appropriate population . Discriminant analysis Idea purpose Discriminant analysis(both for discrimination and classification) Is a statistical technique to organize and optimize the description of differences among objects that belong to different groups or classes. and o the assignment of objects of unknown class to existing classes 2021/2/22 cxt
2021/2/22 3 cxt 7.1 what is discriminant analysis？ 什么是判别分析？ ❖ Discriminant analysis is a multivariate technique that can be used to build rules according to other samples having classify information that can classify a new thing into the appropriate population. ❖ Discriminant Analysis Idea & Purpose Discriminant analysis (both for discrimination and classification) is a statistical technique to organize and optimize: • the description of differences among objects that belong to different groups or classes, and • the assignment of objects of unknown class to existing classes
Thus there are two related activities or concepts in discrimination and classification Descriptive discrimination focuses on finding a few dimensions that combine the originally measured variables and that separate the classes or collections as much as possible p Optimal assignment of new objects, whose real group membership is not known, into one of the existing groups or classes The basic objective of discriminant analysis produce a rule or a classification scheme that will enable a researcher to predict the population from which an 2o2 observation is most likely to have come. cxt
2021/2/22 4 cxt ❖ Thus, there are two related activities or concepts in discrimination and classification: • Descriptive discrimination focuses on finding a few dimensions that combine the originally measured variables and that separate the classes or collections as much as possible. • Optimal assignment of new objects, whose real group membership is not known, into one of the existing groups or classes. ❖ The basic objective of discriminant analysis: produce a rule or a classification scheme that will enable a researcher to predict the population from which an observation is most likely to have come
判别分析 类捌马翱滢观测标和时属类别来判断未知对象所 ◇判别分析的基本思想 的信息总事物分类的规律性,连判别公判影楼测 若 2、根据总结出来的判别公式和判别准则,判别未知类别的样本点 所属的类别 判别分析的目的:识别一个个体所属类别 2021/2/22 5 cxt
2021/2/22 5 cxt ❖ 判别分析 根据已知对象的某些观测指标和所属类别来判断未知对象所属 类别的一种统计学方法。 ❖ 判别分析的基本思想 １、是根据已掌握的、历史上若干样本的p个指标数据及所属类别 的信息，总结出该事物分类的规律性，建立判别公式和判别准则。 2、根据总结出来的判别公式和判别准则，判别未知类别的样本点 所属的类别。 判别分析的目的：识别一个个体所属类别