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Study of semiparametic multiple regression using SIR-PPR algorithm

Research Project

Project/Area Number 11680323
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Statistical science
Research InstitutionHiroshima University

Principal Investigator

OHTAKI Megu  Research Institute for Radiation Biology and Medicine, Hiroshima University, Professor, 原爆放射能医学研究所, 教授 (20110463)

Co-Investigator(Kenkyū-buntansha) KANDA Takashi  Hiroshima Institute of Technology, Department of Environment, Professor, 環境学部, 教授 (40098679)
FUJIKOSHI Yasunori  Graduate School of Science, Hiroshima University, Professor, 理学研究科, 教授 (40033849)
SATOH Kenichi  Research Institute for Radiation Biology and Medicine, Hiroshima University, Research Associate, 原爆放射能医学研究所, 助手 (30284219)
OCHI Yoshimichi  Oita University, Department of Technology, Associate Professor, 工学部, 助教授 (60185618)
Project Period (FY) 1999 – 2000
Project Status Completed (Fiscal Year 2000)
Budget Amount *help
¥3,100,000 (Direct Cost: ¥3,100,000)
Fiscal Year 2000: ¥1,100,000 (Direct Cost: ¥1,100,000)
Fiscal Year 1999: ¥2,000,000 (Direct Cost: ¥2,000,000)
KeywordsB-spline smoothing / Dimension reduction / Multiple regression / Nonparametric regression / Principal point analysis / Projection pursuit / Semiparametric analysis / Sliced inverse regression / Sliced Inverse Regression / Projction Pursuit Regression / Multiple regression / Nonlinear regression / Multi-dimensional data / Exploratory data analysis / Model selection / Semiparametric regression
Research Abstract

The achievement of our study are as follows :
1) Based on modified criteria for canonical discriminant analysis, we developed a criterion for selection of edr space using SIR, and examined its performance with Monte-Carlo simulation.(in preparation for submission)
2) We developed a new algorithm for SIR using Principal point method, which works well in the cases where data have either symmetric dependence or a distribution which severely violates elliptically symmetric. Simulation study is performed for illustration.(Reported at Symposium on "Statistics, Combinatorics and Related Areas", Bumbai (India), 2000., in preparation for submission)
3) In order to avoid over fitting with B-spline smoothing method, we consider other arrangements based on the number of sample points in each interval. We choose knots such that each interval contains about the same number of samples. These knot placement schemes are compared through the Monte Carlo simulation.(Submitted)
4) We developed a method to select the better of two types of models : a polynomial with low degree and a B-spline model, using the common information criterion. The methodology can be effectively applied to multiple nonparametric regression analysis.(Submitted)
5) We analyzed the relationship between price of detached houses located in the western suburbs of Hiroshima and their environmental conditions such as area of building site, size of building, age of building, degree of commuting convenience of the site, distance from city center using nonparametric regression model.(J.of the Faculty for Human Development, Hiroshima Jogakuin Univ. 7,57-65,2000)
6) We analyzed municipality-specific SMR of lung cancer during 1975-1994 in Japan using nonparametric regression, and found that SMR was high at or near the coastline irrespective of the direction of the nearest coastline..(Jpn J Clinical Oncology, 30,557-561,2000)

Report

(3 results)
  • 2000 Annual Research Report   Final Research Report Summary
  • 1999 Annual Research Report
  • Research Products

    (8 results)

All Other

All Publications (8 results)

  • [Publications] Kawasaki,H.: "Statistical analysis of geographical features of lung cancer mortality in Japan"Japanese Journal of Clinical Oncology. 30(12). 557-561 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] 高橋綾: "生活科学としての健康科学 -一戸建て住宅の価格と環境条件に関するノンパラメトリック回帰分析-"広島女学院大学生活科学部紀要. 7. 57-65 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Kawasaki, H., Satoh, K., Nakayama, T., Yamaguchi, N.and Ohtaki, M.: "Statistical analysis of geographical features of lung cancer mortality"Jpn J of Clin.Oncol.. 30(12). 557-561 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Takahashi, A., Yanagihara, H., Ohtaki, M.and Munaka, M.: "Nonparametric regression analysis of the relationship between price of detached house and their environmental conditions."J.of the Faculty for Human Develop.Hiroshima Jogakuin Univ.. 7 (in Jap.). 67-65 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Kawasaki,H.: "Statistical analysis of geographical features of lung cancer mortality in Japan"Japanese Journal of Clinical Oncology. 30(12). 557-561 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] 高橋綾: "生活科学としての健康科学-一戸建て住宅の価格と環境条件に関するノンパラメトリック回帰分析-"広島女学院大学生活科学部紀要. 7. 57-65 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] Nakayama,T.et al.: "Statistical analysis of female proportion among the Japanese infant population of 0-4year olds"Jpn J.Biometrics. (in press).

    • Related Report
      1999 Annual Research Report
  • [Publications] Satoh,K.: "Modification of AIC-type criterion in multivariate normal linear regression with a future experiment."Hiroshima Mathematical Journal. 30. 29-53 (2000)

    • Related Report
      1999 Annual Research Report

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Published: 1999-04-01   Modified: 2016-04-21  

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