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Development of Computer Software for Analyzing Growth Curve Date.

Research Project

Project/Area Number 07558033
Research Category

Grant-in-Aid for Scientific Research (B)

Allocation TypeSingle-year Grants
Section試験
Research Field Statistical science
Research InstitutionHIROSHIMA UNIVERSITY

Principal Investigator

OHTAKI Megu  Hiroshima University, Dep.of Environmetrics and Biometrics, RIRBM,Professor, 原爆放射能医学研究所, 教授 (20110463)

Co-Investigator(Kenkyū-buntansha) KATOU Hiroshi  Nippon Electronic Company, Chief, 情報メディア研究所, 課長
SATOH Kenichi  Hiroshima University, Dep.of Environmetrics and Biometrics, RIRBM,Research Assoc, 原爆放射能医学研究所, 助手 (30284219)
KANDA Takashi  Hiroshima Institute for Technology, Dep.of Environmental Science, Professor, 環境学部, 教授 (40098679)
FUJIKOSHI Yasunori  Hiroshima University, Faculty of Science, Professor, 理学部, 教授 (40033849)
新田 裕史  国立環境研究所, 主任研究員 (40156138)
Project Period (FY) 1995 – 1996
Project Status Completed (Fiscal Year 1996)
Budget Amount *help
¥5,600,000 (Direct Cost: ¥5,600,000)
Fiscal Year 1996: ¥1,600,000 (Direct Cost: ¥1,600,000)
Fiscal Year 1995: ¥4,000,000 (Direct Cost: ¥4,000,000)
KeywordsGrowth curve model / Mixed effect model / Random coefficient regression / Covariance structure / Extended MANOVA / 混合効果モデル / 共分散構造 / ウィンドウズ対応 / 多項式モデル
Research Abstract

Fujikoshi and Satoh derived the maximum likelihood estimates of unknown parameters under the extended growth curve model with a balanced design, and studied the several statistical properties. They developed new methods for model selection with corrected versions of AIC and C,and proved that those methods have good small sample properties (Fujikoshi and Satoh, Hiroshima Mathematical J.26,1996, Biometrika in press, J.Multivariate Analysis, in press).
Kanda and Seo studied a multiple comparison by original of generalizing the Multivariate Analysis of Variance model with, a positive definite, serial, and uniform covariance structures. They gave the simultaneous confidence intervals using modified second approximation procedure. They also derived the asymptotic expansions for the joint probability of bivariate Hotelling T^2-type variates under the model with the covariance structures (J.Japan Statistical Society 26,1996).
Cooperating with Satoh and Katou, Ohtaki developed a package of computer programs referred to as Growth2 (Ver.3.2) which is applicable to the growth curve data with the unbalanced design. The algorithm used is based on the result of expanded version of the theory due to Vonesh&Carter (1984) which needs not any iteration in the estimating procedure, and is applicable to the cases where linear restriction exists in the mean parameters. In the programming, Fortran77 and Pascal were used for a numeric processing, and Delphi (Ver.2.0J) was also used for constructing the graphic user interface, which improves the operativeness of the program (Proc.of the Research Institute for Radiation Biology and Medicine 37,1996).

Report

(3 results)
  • 1996 Annual Research Report   Final Research Report Summary
  • 1995 Annual Research Report
  • Research Products

    (21 results)

All Other

All Publications (21 results)

  • [Publications] Fujikoshi,Y.: "Estimation and model selection in an extended growth curve model." Hiroshima Mathematical Journal. 26. 635-647 (1996)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] Fujikoshi,Y.: "Modified AIC and Cp in multivariate linear regression." Biometrika. (印刷中).

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] Seo,T.: "Multiple comparisons in the GMANOVA model with covariance structures." Journal of Japan Statistical Society. 26. 47-58 (1996)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] Satoh,K.: "Variable selection for the growth curve model." Journal of Multivariate Analysis. (印刷中).

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] Fujikoshi,Y.: "Statistical inference in growth curve model with hierarchical within-individuals design matrices." Contemporary Multivariate Analysis and Its Applications. (印刷中).

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] 大瀧慈: "GROWTH2:母数に線形構造を持つ成長曲線モデルによる統計解析のためのプログラム." 広島大学原爆放射能医学研究所年報. 37. 181-190 (1996)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] Fujikoshi, Y.: "Estimation and model selection in an extended growth curve model." Hiroshima Mathematical Journal. 26. 635-647 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] Fujikoshi, Y.: "Modified AIC and Cp in multivariate linear regression." Biometrika. (in press).

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] Seo, T.: "Multiple comparisons in the GMANOVA model with covariance structures." Journal of Japan Statistical Society. 26(1). 47-58 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] Satoh, K.: "Variable selection for the growth curve model." Journal of Multivariate Analysis. (in press).

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] Fujikoshi, Y.: "Statistical inference in growth curve model with hierarchical within-individuals design matrices" Contemporary Multivariate Analysis and Its Applications. (in press).

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] Ohtaki, M.: "GROWTH2 : A computor program for statistical analysis using growth curve model with linear structure for parameters." Proc.Hiroshima Univ.RIRBM. 37. 181-188 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] Fujikoshi, Y. and Satoh, K.: "Estimation and model selection in an extended growth curve model." Hiroshima Mathematical Journal. 26. 635-647 (1996)

    • Related Report
      1996 Annual Research Report
  • [Publications] Fujikoshi, Y. and Satoh, K.: "Modified AIC and Cp in multivariate linear regreesion." Biometrika. (印刷中).

    • Related Report
      1996 Annual Research Report
  • [Publications] Seo, T. and Kanda, T.: "Multiple comparisons in the GMANOVA model with covariance structures." Journal of Japan Statistical Society. 26 (1). 47-58 (1996)

    • Related Report
      1996 Annual Research Report
  • [Publications] Satoh, K., Kobayashi M. and Fujikoshi, Y.: "Variable selection for the growth curve model." Journal of Multivariate Analysis. (印刷中).

    • Related Report
      1996 Annual Research Report
  • [Publications] Fujikoshi, Y., Kanda, T. and Ohtaki, M.: "Statistical inference in growth curve model with hierachical within-individuals design matrices." Contemporary Multivariate Analysis and Its Applications. (印刷中).

    • Related Report
      1996 Annual Research Report
  • [Publications] 大瀧 慈、加藤 浩: "GROWTH2:母数に線形構造を持つ成長曲線モデルによる統計解析のためのプログラム." 広島大学原爆放射能医学研究所年報. 第37巻. 181-190 (1996)

    • Related Report
      1996 Annual Research Report
  • [Publications] Y. Fujikoshi, K. Satoh: "Estimation and model selection in an extended growth curve model" Hiroshima Mathematical Journal. 26. (1996)

    • Related Report
      1995 Annual Research Report
  • [Publications] T. Seo, T. Kanda: "Multiple comparison in the GMANOVA model with covariance structures" Journal of the Japan Statistical Society. 26. (1996)

    • Related Report
      1995 Annual Research Report
  • [Publications] 大瀧 慈: "GROWTH2:母数に線形構造を持つ成長曲線モデルによる統計解析用プログラム" 広島大学原爆放射能医学研究所年報. 37.

    • Related Report
      1995 Annual Research Report

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Published: 1995-04-01   Modified: 2016-04-21  

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