1991 Fiscal Year Final Research Report Summary
Development of a new system for analysis of multiarray data with mutually complex relationship
| Project/Area Number |
01301076
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| Research Category |
Grant-in-Aid for Co-operative Research (A)
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| Allocation Type | Single-year Grants |
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| Research Field |
統計学
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| Research Institution | University of Tsukuba |
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Principal Investigator |
YOSHIZAWA Tadashi The Univ. of Tsukuba, Social Eng., Prof., 社会工学系, 教授 (50010781)
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| Co-Investigator(Kenkyū-buntansha) |
TANAKA Y. Okayama Univ. Culture, Prof., 教養部, 教授 (20127567)
SHIMURA K. Ryukyu Univ. Law and literature, Associate Prof., 法文学部, 助教授 (20126650)
IWATSUBO S. University Examination Center, Research and Development, Prof., 研究開発部, 教授 (20141997)
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| Project Period (FY) |
1989 – 1991
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| Keywords | Data analysis / Multiarray data / singular value Decompositoin / Multiway data |
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| Research Abstract |
(1) various types of statistical multiarray data were gathered and the objectives of analyses for those data were comparatively studied.
(2) The methods and algorithms were organized and the broad and proper requirments for computer software to analyse multiarray data.
(3) Exploratory data analysis of stratified multiarray data and paired comparison data was recognized to be important, prior to multi-mode principal component analysis.
(4) Decomposition of stratified multivariate data to the components of "between strata" and "within strata" is fundamental.
(5) Hierarchical principal component analysis was extensively studied by Prof. Murakami.
(6) A personal computer software for singular value decomposiotin proposed by Yoshizawa was developed in cooperation with prof. Shimura. This type of decomposition is a basic tool for analysis of multiarray data.
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