Study of variable selection methods integrated in data analysis and development of interactive system for variable selection
Study of variable selection methods integrated in data analysis and development of interactive system for variable selection
批准号:
10680321
负责人:
MORI Yuichi
金额:
$0.64万
依托单位国家:
日本
项目类别:
Grant-in-Aid for Scientific Research (C)
财政年份:
1998
资助国家:
日本
项目状态:
已结题
起止时间:
1998 至 1999
中文摘要
本文主要研究无外部变量的多元分析方法中的变量选择问题,特别是在主成分分析(PCA)中。在本研究中,我们讨论了以下内容。在前人的研究中,我们详细地考虑了Tanaka & Mori的方法(修正PCA)以及PCA中一些新的变量选择方法。即提出了四种逐步选择程序并对其进行了评价,并对其标准进行了数值研究。我们将计算机密集型方法(Bootstrap和交叉验证技术)应用于选择结果,然后可以获得信息来评估方法并确定要选择的变量数量。我们采用敏感性分析的思想作为选择变量的新准则。在敏感性分析方面,我们开发了SAMMIF统计包,既可以方便地检测单个影响观测值,也可以方便地检测联合影响观测值。利用这一思想,我们提出了一种新的选择方法,即找到对主成分分析结果或参数估计影响最小的变量,然后将其删除。我们还开发了用于主成分分析中变量选择的VASPCA软件。这是一个交互式软件,包括所有的选择方法,并有两种类型的版本,VASPCA/Win为Windows和VASPCA/Web为互联网。
英文摘要
We study variable selection in multivariate methods without external variables, especially in principal component analysis (PCA). In this study we discuss the followings.1. We consider Tanaka & Mori's method (Modified PCA) in detail among the previous studies and some new methods for variable selection in PCA. That is, we propose four stepwise selection procedures and evaluate them, and investigate its criteria numerically.2. We apply the computer intensive methods (Bootstrap and Cross-validation techniques) to the results of the selection and then can obtain information to evaluate the methods and to determine the number of variables to be selected.3. We adopt the idea of sensitivity analysis as a new criterion to select variables. As for sensitivity analysis, we develop the statistical package "SAMMIF" which can be used conveniently for detecting not only singly but also jointly influential observation. Using the idea we propose a new selection method to find a variable which has the smallest influence on the result or parameter estimations of PCA and then delete it.4. We also develop the software "VASPCA" for variable selection in PCA. This is an interactive software which includes all the selection methods and has two types of versions, VASPCA/Win for Windows and VASPCA/Web for the internet.
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Y.Mori: "Variable Selection in "Principal Component Analysis Based on a Subset of Variables""Bulletin of the International Statistical Institute (52nd Session Contributed Papers Book2). 333-334 (1999)
Y.Mori:《“基于变量子集的主成分分析”中的变量选择》《国际统计学会通报》(第 52 期投稿论文 Book2)。
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森 裕一: "変数の一部に基づく主成分分析―RV係数規準による数値的検討―"岡山理科大学紀要. 34 A. 383-396 (1999)
Yuichi Mori:“基于某些变量的主成分分析 - 使用 RV 系数标准的数值研究 -”冈山理科大学通报 34 A. 383-396 (1999)。
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Mori, Y.: "Principal component analysis based on a subset of variables -Numerical inveatigation on variable selection procedures-"Bulletin of the Computation Statistics of Japan, Japanese Society of Computational Statistics. 11(1). 1-12 (1999)
Mori, Y.:“基于变量子集的主成分分析 - 变量选择程序的数值研究 -”日本计算统计公报,日本计算统计学会。
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通讯作者:
森 裕一: "変数の一部に基づく主成分分析-RV係数規準による数値的検討-"岡山理科大学紀要. 34 A. 383-396 (1999)
Yuichi Mori:“基于部分变量的主成分分析 - 使用 RV 系数准则的数值研究”冈山理科大学通报 34 A. 383-396 (1999)。
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作者:
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通讯作者:
森 裕一: "変数の一部に基づく主成分分析-RV係数規準による数値的検討-" 岡山理科大学紀要. 34 A(受理済み). (1999)
Yuichi Mori:“基于部分变量的主成分分析 - 使用 RV 系数准则的数值研究”冈山理科大学通报 34 A(已接受)。
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Development of computer-aided diagnostic system by using endocytoscopy
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批准号:25860564
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项目类别:Grant-in-Aid for Young Scientists (B)
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资助金额:$2.25万
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财政年份:2013
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负责人:MORI Yuichi
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依托单位:
Heuristic representation and effective reduction for large scaled and high dimensional information and its computational environments
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批准号:22500265
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项目类别:Grant-in-Aid for Scientific Research (C)
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资助金额:$2.75万
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财政年份:2010
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负责人:MORI Yuichi
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依托单位:
Study of variable selection in multivariate methods without external variables and development of variable selection software
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批准号:14580352
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项目类别:Grant-in-Aid for Scientific Research (C)
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资助金额:$1.92万
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财政年份:2002
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负责人:MORI Yuichi
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依托单位:
Molecular mechanism for inherited thyroxine-binding globulin excess and isolated growth hormone deficiency
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批准号:09671082
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项目类别:Grant-in-Aid for Scientific Research (C)
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资助金额:$2.24万
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财政年份:1997
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负责人:MORI Yuichi
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依托单位:
Molecular mechanism for inherited thyroxine-binding globulin excess and isolated growth hormone deficiency
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批准号:07671123
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项目类别:Grant-in-Aid for Scientific Research (C)
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资助金额:$1.47万
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财政年份:1995
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负责人:MORI Yuichi
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依托单位:
Analysis of thyroxine-binding globulin (TBG) gene regulation and inherited TGB abnormalities
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批准号:04671468
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项目类别:Grant-in-Aid for General Scientific Research (C)
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资助金额:$1.34万
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财政年份:1992
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负责人:MORI Yuichi
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依托单位:
海外基金