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Statistical inference in the mixed effects model

Research Project

Project/Area Number 25400206
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Research Field Foundations of mathematics/Applied mathematics
Research Institution防衛大学校(総合教育学群、人文社会科学群、応用科学群、電気情報学群及びシステム工学群) (2014-2016)
Kyushu University (2013)

Principal Investigator

Hyakutake Hiroto  防衛大学校(総合教育学群、人文社会科学群、応用科学群、電気情報学群及びシステム工, 総合教育学群, 教授 (70181120)

Project Period (FY) 2013-04-01 – 2017-03-31
Project Status Completed (Fiscal Year 2016)
Budget Amount *help
¥2,600,000 (Direct Cost: ¥2,000,000、Indirect Cost: ¥600,000)
Fiscal Year 2016: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2015: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2014: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2013: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Keywords数理統計学 / 線形モデル / ランダム効果 / 信頼区間 / 矯正歯科学 / プロフィール分析 / 欠測データ / 繰り返し測定値 / 測定誤差 / 信頼領域 / 繰り返し測定データ
Outline of Final Research Achievements

There are individual difference in clinical data, hence we consider statistical inference for the random effects model. In two sample problem, we give approximated confidence intervals, when the error variances are different. We also give the exact test for parallelism with missing data and an approximated confidence interval of the level difference under parallel profile model. Applications to clinical data analysis of dental measuremets are given.

Report

(5 results)
  • 2016 Annual Research Report   Final Research Report ( PDF )
  • 2015 Research-status Report
  • 2014 Research-status Report
  • 2013 Research-status Report
  • Research Products

    (7 results)

All 2016 2013

All Journal Article (6 results) (of which Int'l Joint Research: 3 results,  Peer Reviewed: 6 results,  Acknowledgement Compliant: 1 results) Presentation (1 results) (of which Int'l Joint Research: 1 results,  Invited: 1 results)

  • [Journal Article] Maximum principal strain as a criterion for prediction of orthodontic mini-implants failure in subject-specific finite element model2016

    • Author(s)
      M.H. Albogha, T. Kitahara, M. Todo, H. Hyakutake and I. Takahashi
    • Journal Title

      Angle Orthodontist

      Volume: 86 Pages: 24-31

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Profile analysis for random effects model in two sample problem with monotone missing2016

    • Author(s)
      K. Sawatsuhashi and H. Hyakutake
    • Journal Title

      Far East Journal of Theoretical Statistics

      Volume: 52 Pages: 235-251

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Predisposing factors for orthodontis mini-implant failure defined by bone strains in patient-specific element model2016

    • Author(s)
      M.H. Albogha, T. Kitahara, M. Todo, H. Hyakutake and I. Takahashi
    • Journal Title

      Annals of Biomedical Engineering

      Volume: 44 Issue: 10 Pages: 2948-2956

    • DOI

      10.1007/s10439-016-1584-8

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Predisposing factors for orthodontic mini-implant failure defined by bone strains in patient-specific finite element models2016

    • Author(s)
      Mhd Hassan Albogha, Toru Kitahara, Mitsugu Todo, Hiroto Hyakutake, Ichiro Takahashi
    • Journal Title

      Annals of Biomedical Engineering

      Volume: 44

    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Note on estimating parameters in heterogeneous random effects models for two sample problem2013

    • Author(s)
      Kengo Ueda and Hiroto Hyakutake
    • Journal Title

      Advances and Applications in Statistics

      Volume: 37 Pages: 187-193

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Journal Article] Relationship between the stability of muscle activity in the masseter muscle and craniofacial morphology2013

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

      Orthodontic Waves

      Volume: 72 Pages: 55-62

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Presentation] Profile analysis for random effect model with missing data2016

    • Author(s)
      Hiroto Hyakutake
    • Organizer
      Kumamoto International Symposium "High Dimensional Statistical Analysis & Quantile Analysis for Time Series"
    • Place of Presentation
      熊本大学
    • Year and Date
      2016-03-03
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research / Invited

URL: 

Published: 2014-07-25   Modified: 2019-07-29  

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