| 偏最小二乘建模在R软件中的实现及实证分析 |
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| 引用本文： | 齐琛,方秋莲. 偏最小二乘建模在R软件中的实现及实证分析[J]. 数学理论与应用, 2013, 0(2): 103-111 |
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| 作者姓名： | 齐琛 方秋莲 |
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| 作者单位： | 中南大学数学与统计学院,长沙410075 |
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| 基金项目： | 湖南省自然科学基金资助项目（编号：12JJ5002） |
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| 摘 要： | 通过介绍偏最小二乘（PLS）的建模和显著性检验原理，解决了小样本多变量且变量间存在多重共线性的回归问题，建立了多变量对多变量的回归模型，并使用R软件（版本为Ri3862．15．1）实现了PLS建模；最后基于葡萄和葡萄酒理化指标数据进行了实证分析．
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| 关 键 词： | 偏最小二乘 R语言 jackknife方差 显著性检验 |
Partial Least Squares Modelling with R Software and Empirical Analysis |
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| Qi Chen,Fang Qiulian. Partial Least Squares Modelling with R Software and Empirical Analysis[J]. Mathematical Theory and Applications, 2013, 0(2): 103-111 |
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| Authors: | Qi Chen Fang Qiulian |
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| Affiliation: | (School of Mathematics and Statistics, Central South University, Changsha 410075, China) |
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| Abstract: | This paper introduces the Partial Least Squares （PLS） method and its significance test principle for model-ling regression problems in which sample size is small and there is muhicollinearity among observable variables, and furthermore, illustrates how to set up PLS models with the R software. An example to model the relation of the physi-cochemical indexes between gapes and wine is given to demonstrate the modelling process. |
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| Keywords: | PLS R Language Jackknife Variance Significance Test |
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