• Search Research Projects
  • Search Researchers
  • How to Use
  1. Back to previous page

Simultaneous inferences for repeated measurement data

Research Project

Project/Area Number 22540142
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field General mathematics (including Probability theory/Statistical mathematics)
Research InstitutionKyushu University

Principal Investigator

HYAKUTAKE Hiroto  九州大学, 数理研究院, 准教授 (70181120)

Project Period (FY) 2010 – 2012
Project Status Completed (Fiscal Year 2012)
Budget Amount *help
¥1,950,000 (Direct Cost: ¥1,500,000、Indirect Cost: ¥450,000)
Fiscal Year 2012: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2011: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2010: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Keywords統計数学 / 多変量統計解析 / 繰返し測定値 / 繰り返し測定データ / 信頼区間 / 繰返し測定データ / 多変量解析 / 多重比較
Research Abstract

Parameter estimation of nonlinear repeated measurement models with random effects is considered. In two sample problem, we give the approximation to the confidence intervals of the difference of the functions of the nonlinear random effect models. Under parallel profile models with mixed effects, simultaneousconfidence intervals for the level differences are approximated and accuracy of approximation is examined by simulation. Simultaneous confidence intervals of univariate normal mean and elements of multivariate normal mean are given. A test for equality of each element of multinormal mean and univariate normal mean also discussed. Profile analysis with missing data is considered for random effect models.

Report

(4 results)
  • 2012 Annual Research Report   Final Research Report ( PDF )
  • 2011 Annual Research Report
  • 2010 Annual Research Report
  • Research Products

    (19 results)

All 2013 2012 2011 2010 Other

All Journal Article (11 results) (of which Peer Reviewed: 9 results) Presentation (8 results)

  • [Journal Article] 故塩谷實教授の研究について2012

    • Author(s)
      早川毅, 百武弘登
    • Journal Title

      日本統計学会誌

      Volume: 41巻 Pages: 475-483

    • Related Report
      2012 Final Research Report
  • [Journal Article] Three-dimensional analysis of the pharyngeal airway morphology in growing Japanese girls with and without cleft lip and palate2012

    • Author(s)
      M. Yoshihara, M. Terajima, N. Yanagita, H. Hyakutake, R. Kanomi, T. Kitahara, I. Takahashi
    • Journal Title

      American Journal of Orthodontics and Dentofacial Orthopedics

      Volume: 141 Pages: 92-101

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] Pairwise comparisons for parallel profile models with mixed effects2012

    • Author(s)
      Hiroto Hyakutake
    • Volume
      51
    • Pages
      67-73
    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] 故塩谷實教授の研究について2012

    • Author(s)
      早川毅
    • Journal Title

      日本統計学会誌

      Volume: 41 Pages: 475-483

    • Related Report
      2012 Annual Research Report 2011 Annual Research Report
  • [Journal Article] Three-dimensional analysis of the pharyngeal airway morphology in growing Japanese girls with and without cleft lip and palate2012

    • Author(s)
      Mariko Yoshihara
    • Journal Title

      American Journal of Orthodontics and Dentofacial Orthpedics

      Volume: 141

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Pairwise comparisons for parallel profile models with mixed effects2012

    • Author(s)
      Hiroto Hyakutake
    • Journal Title

      Tatra Mountains Mathematical Publications

      Volume: 51 Pages: 67-73

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Confidence regions of functions of parameters in a nonlinear repeated measurement model with mixed effects2011

    • Author(s)
      M. Sako and H. Hyakutake
    • Journal Title

      Journal of Combinatorics, Information & System Sciences

      Volume: 36 Pages: 63-73

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] Confidence regions of functions of parameters in a nonlinear repeated measurement model with mixed effects2011

    • Author(s)
      Mami Sako, H.Hyakutake
    • Journal Title

      J.Combinatorics, Informations & System Sci.

      Volume: 36 Pages: 63-73

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Confidence regions of functions of parameters in a nonlinear repeated measurement model with mixed effects2011

    • Author(s)
      M.Sako, H.Hyakutake
    • Journal Title

      Journal of Combinatorics, Information and System Sciences

      Volume: (to appear)

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] On comparison of univariate normal mean and elements of multivariate normal mean2010

    • Author(s)
      T. Furukatsu, D. Shimamoto, H. Hyakutake
    • Journal Title

      Advances and Applications in Statistics

      Volume: 16 Pages: 147-161

    • Related Report
      2012 Final Research Report 2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Relationship between the stability of muscle activity in the masseter muscle and craniofacial morphology

    • Author(s)
      K. Nakamura, A. Hara, S. Nakata, H. Hyakutake, I. Takahashi
    • Journal Title

      Orthodontic Waves

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Presentation] 誤差分散の異なるランダム効果モデルのパラメータ推定について2013

    • Author(s)
      百武弘登, 上田謙吾
    • Organizer
      日本数学会年会
    • Place of Presentation
      京都大学
    • Related Report
      2012 Annual Research Report 2012 Final Research Report
  • [Presentation] Comparisons of parallel profile models with random effects2012

    • Author(s)
      百武弘登
    • Organizer
      研究集会「多変量解析の新展開」
    • Place of Presentation
      那覇市
    • Related Report
      2012 Final Research Report
  • [Presentation] 誤差分散の異なるランダム効果モデルのパラメータ推定について2012

    • Author(s)
      上田謙吾, 百武弘登
    • Organizer
      研究集会「医学統計と数理の接点を探る」
    • Place of Presentation
      南山大学
    • Related Report
      2012 Final Research Report
  • [Presentation] 欠測値がある場合のランダム効果モデルのプロフィール分析について2012

    • Author(s)
      沢津橋広平, 百武弘登
    • Organizer
      研究集会「医学統計と数理の接点を探る」
    • Place of Presentation
      南山大学
    • Related Report
      2012 Final Research Report
  • [Presentation] Pairwise comparisons for parallel profile models with mixed effects2011

    • Author(s)
      Hiroto Hyakutake
    • Organizer
      PROBASTAT2011
    • Place of Presentation
      Smolenice, Slovakia
    • Year and Date
      2011-07-05
    • Related Report
      2011 Annual Research Report
  • [Presentation] Pairwise comparisons for parallel profile models with mixed effects2011

    • Author(s)
      Hiroto Hyakutake
    • Organizer
      PROBASTAT 2011
    • Place of Presentation
      Slovakia.
    • Related Report
      2012 Final Research Report
  • [Presentation] On comparison of univariate normal mean and elements of multivariate normal mean2010

    • Author(s)
      百武弘登
    • Organizer
      研究集会「統計的推測方法の理論的発展とその応用」
    • Place of Presentation
      熊本大学
    • Year and Date
      2010-11-18
    • Related Report
      2010 Annual Research Report
  • [Presentation] On comparison of univariate normal mean and elements of multivariate normal mean2010

    • Author(s)
      百武弘登
    • Organizer
      研究集会「統計的推測方法の理論的展開とその応用」
    • Place of Presentation
      熊本大学
    • Related Report
      2012 Final Research Report

URL: 

Published: 2010-11-30   Modified: 2019-07-29  

Information User Guide FAQ News Terms of Use Attribution of KAKENHI

Powered by NII kakenhi