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一类小样本的统计方法建模及其可视化
引用本文:游文杰,吉国力,袁明顺,冯清.一类小样本的统计方法建模及其可视化[J].数学的实践与认识,2013,43(7):68-75.
作者姓名:游文杰  吉国力  袁明顺  冯清
作者单位:1. 厦门大学信息科学与技术学院,福建厦门361005;福建师范大学福清分校,福建福清350300
2. 厦门大学信息科学与技术学院,福建厦门,361005
3. 福建师范大学福清分校,福建福清,350300
基金项目:高校博士点专项科研基金,福建省教育厅科技项目
摘    要:针对一类高维小样本数据,利用统计方法的非参数检验与偏最小二乘回归(PLS)构造小样本预测模型,实现基于Wilcoxon秩和检验的变量选择与基于PLS的变量压缩降维.并通过DNA序列分类问题实现基于统计方法的小样本数据建模与可视化,计算结果表明方法对小样本具有可行性、有效性.

关 键 词:小样本数据  Wilcoxon检验  偏最小二乘回归  DNA序列分类

A Small-Sample Modeling and Visualization on Statistical Methods
YOU Wen-jie , JI Guo-li , YUAN Ming-shun , FENG Qing.A Small-Sample Modeling and Visualization on Statistical Methods[J].Mathematics in Practice and Theory,2013,43(7):68-75.
Authors:YOU Wen-jie  JI Guo-li  YUAN Ming-shun  FENG Qing
Institution:1.College of Computer & Information Engineer,Xiamen University,Xiamen 361005,China) (2.Fuqing Branch,Fujian Normal University,Fuqing 350300,China)
Abstract:With a class of high-dimensional & small-sample data,Prediction models of small-sample are constructed using Hypothesis Test and Partial Least-Squares Regression(PLS) of statistical methods,which carried out variables selection on wilcoxon rank-sum test and variables compression & dimension reduction on PLS.And small-sample modeling and visualization on statistical methods are achieved by the instance of DNA sequence classification,the results show that the modeling methods of small-samples have feasibility and stability.
Keywords:small-sample  wilcoxon rank-sum test  partial least-squares regression  dna sequence classification
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