2005 Fiscal Year Final Research Report Summary
Basic theory and applications for the problem of variable selection in multivariate analysis
| Project/Area Number |
15300092
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| Research Category |
Grant-in-Aid for Scientific Research (B)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
Statistical science
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| Research Institution | HIROSHIMA UNIVERSITY |
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Principal Investigator |
WAKAKI Hirofumi Hiroshima University, Graduate School of Science, Professor, 大学院・理学研究科, 教授 (90210856)
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| Co-Investigator(Kenkyū-buntansha) |
FUJIKOSHI Yasunori Hiroshima University, Emeritus Professor, 名誉教授 (40033849)
KONISHI Sadanori Kyushu University, Graduate School of Mathematics, Professor, 大学院・数理学研究院, 教授 (40090550)
OHTAKI Megu Hiroshima University, Research Institute for Radiation Biology and Medicine, Professor, 原爆放射線医科学研究所, 教授 (20110463)
NISHII Ryuei Kyushu University, Graduate School of Mathematics, Professor, 大学院・数理学研究院, 教授 (40127684)
YANAGIHARA Hirokazu University of Tsukuba, Graduate School of Systems and Infiormation Engineering, Lecturer, 大学院・システム情報工学科, 講師 (70342615)
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| Project Period (FY) |
2003 – 2005
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| Keywords | Multivariate Analysis / Variable Selection / Multivariate Lenear Model / Growth Curve Model / Spatial Model / Nonlinear Model / Information Criterion / High Dimensional Data |
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| Research Abstract |
The purpose of this project is to study variable selection problems for various models and related problems, and to apply to the actual data. Main results obtained are as follows.
(1) The likelihood ratio tests on a general linear hypothesis of the parameter matrix for an extended growth curve models (Fujikoshi et al. (2006)).
(2) Edgeworth expansion of Wilks's lambda statistic is derived for high dimensional case (Wakaki (2006)).
(3) Image classification methods are developed (Nishii et al. (2006)).
(4) An asymptotic distribution of the AIC is derived (Yanagihara et al. (2005)).
(5) Prediction error criterion for selecting of varaibles in regression model is proposed (Fujikoshi et al. (2005)).
(6) A Bayesian information criterion is derived and applied to choice of smoothing parameters in radial basis function network models (Konishi et al. (2004)).
(7) A clustering method by connected neighborhoods is proposed (Satoh et al. (2004)).
(8) A classification method for genotyping of Single nucleotide polymorphisms based on normal mixture model are proposed (Satoh et al. (2004)).
(9) A general bias reduction technique in the context of smooth functional statistics is develped and an criterion in model evaluation and selection problems is proposed (Konishi et al. (2003)).
(10) Some model selection criteria for grouth curve model are proposed (Fujikoshi (2003)).
(11) A bias correction method for AIC in logistic regression models is proposed (Yanagihara et al. (2003)).
(12) A method to select B-Spline and Polynomial regression is proposed (Satoh et al. (2003)).
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[Journal Article] Detection and differentiation of lactate and lipids by single-voxel proton MR spectroscopy.2005
Author(s)
Yamasaki, F., Takaba, J., Ohtaki, M., Abe, N., Kajiwara, Y., Saito, T., Yoshioka, H., Hama, S., Akimitsu, T., Sugiyama, K., Arita, K., Kurisu, K.
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Journal Title
Neurosurg Rev 28
Pages: 267-277
Description
「研究成果報告書概要(欧文)」より
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[Journal Article] Apparent Diffusion Coefficient of Human Brain Tumors at MR Imaging.2005
Author(s)
Yamasaki, F., Kurisu, K., Satoh, K., Arita, K., Sugiyama, K., Ohtaki, M., Takaba, J., Tominaga, A., Hanaya, R., Yoshioka, H., Hama, S., Ito, Y., Kajiwara, Y., Yahara, K., Saito, T., Thohar, Muhamad A.
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Journal Title
Radiology 235
Pages: 985-991
Description
「研究成果報告書概要(欧文)」より
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[Journal Article] Differentially expressed genes throughout the cellular immortalization processes are quite different between normal human fibroblasts and endothelial cells.2005
Author(s)
Hiyama, K., K.Otani, M.Ohtaki, Satoh, K., T.Kumazaki, T.Takahashi, Y.Mitsui, Y.Okazaki, Y.Hayashizaki, H.Omatsu, T.Noguchi, K.Tanimoto, M.Nishiyama
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Journal Title
International Journal of Oncology 27
Pages: 87-95
Description
「研究成果報告書概要(欧文)」より
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[Journal Article] Effects of a westernized lifestyle on the association between fasying serum nonesterified fattyacids and inslin secetion in Japanese men.2005
Author(s)
Kamei, N., Yamane K., Nakanishi, S., Ishida, K., Ohtaki, M., Okubo, M., Kohno N.
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Journal Title
Metabolism Clinical and Experimental 54
Pages: 713-718
Description
「研究成果報告書概要(欧文)」より
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[Journal Article] The mutation of myeloma cells correlates with sensitivity to chemothera peuticagents.2005
Author(s)
Kuroda, Y., Sakai, A., Okikawa, Y., Munemasa, S., Katayama, Y., Hyodo, H., Imagawa, J., Takimoto, Y., Okita, H., Ohtaki, M., Kimura, A.
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Journal Title
International Journal of Hematology 81
Pages: 335-341
Description
「研究成果報告書概要(欧文)」より
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[Journal Article] Prediction of individual response to platinum/ paclitaxel combination using novel novel marker genes in overian cancers.
Author(s)
Komatsu, M., Hiyama, K., Tanimoto, K., Yunokawa, M., Otani, K., Ohtaki, M., Hiyama, E., Kigawa, J., Ohwada, M., Suzuki, M., Nagai, N., Kudo, Y., Nishiyama M.
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Journal Title
Molecular CancerTherapy (in press)
Description
「研究成果報告書概要(欧文)」より
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[Journal Article] Cold spinoplegia andtrans-vertebral cooling pad reduce spinal cord injury during thoracoabdominal aortic surgery.
Author(s)
Isaka, M., Kumagai, H., Sugawara, Y., Okada, K., Orihashi, K., Ohtaki.M., Sueda T.
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Journal Title
Journal of Vascular Surgery (in press)
Description
「研究成果報告書概要(欧文)」より
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[Book] 情報量基準2004
Author(s)
小西貞則
Total Pages
194
Publisher
朝倉書店
Description
「研究成果報告書概要(和文)」より
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