多元统计分析方法概述

1 多元统计分析方法概述 目 录 引言„„„„„„„„„„„„„„„„„„„„„„„„第四页 多元线性回归方法原理简介„„„„„„„„„„„„„„第四页 多元线性回归案例叙述分析„„„„„„„„„„„„„„第四页 多元线性回归分析方法在社会的应用„„„„„„„„„„第八页 聚类分析方法原理简介„„„„„„„„„„„„„„„„第八页 聚类分析案例叙述分析„„„„„„„„„„„„„„„„第八页 聚类分析方法在社会的应用„„„„„„„„„„„„„„第十页 主成份分析方法原理简介„„„„„„„„„„„„„„„第十页 主成份分析案例叙述分析„„„„„„„„„„„„„„第十一页 主成份分析方法在社会的应用„„„„„„„„„„„„第十四页 因子分析方法原理简述„„„„„„„„„„„„„„„第十四页 因子分析案例叙述分析„„„„„„„„„„„„„„„第十四页 因子分析方法在社会的应用„„„„„„„„„„„„„第十七页 偏最小二乘回归分析方法原理简介„„„„„„„„„„第十八页 偏最小二乘回归分析案例叙述分析„„„„„„„„„„第十九页 偏最小二乘回归分析方法在社会的应用„„„„„„„第二十一页 总结„„„„„„„„„„„„„„„„„„„„„„第二十一页 参考文献„„„„„„„„„„„„„„„„„„„„第二十二页 谢辞„„„„„„„„„„„„„„„„„„„„„„第二十三页 2 摘 要 本文主要概述了多元统计分析的各个方法，然后在后面介绍了多元统计分析方法在社会生活等方面的实际案例以及分析。并由案例分析找出各个统计分析方法的对应使用领域。 关 键 词 多元统计分方法 回归分析 聚类分析 因子分析 主成份分析 偏最小二乘回归分析 因素 股市 模型 财务 Summary The Chemometrics includes chemical experimental design and optimization (such as orthogonal design, simplex method and variance analysis), chemical pattern recognition (such as clusters, PCA, k-nearest neighbour analysis, SIMCA and ANN), multi-variance calibration (such as MLR, CLS, PCR and PLS) and spectrum analysis (Such as ITTFA, EFA and FSWEFA), signal processing (such as filtering, smoothing, derivation and convolution). keyword multivariate statistical analysis m...