Statistical inference in the mixed effects model

• Project/Area Number: 25400206
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Multi-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: ¥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.

Research Products

• [Journal Article] Maximum principal strain as a criterion for prediction of orthodontic mini-implants failure in subject-specific finite element model (2016)
  • Author(s): M.H. Albogha, T. Kitahara, M. Todo, H. Hyakutake and I. Takahashi
  • Journal Title: Angle Orthodontist Volume: 86 Pages: 24-31
  • Peer Reviewed / Int'l Joint Research
• [Journal Article] Profile analysis for random effects model in two sample problem with monotone missing (2016)
  • Author(s): K. Sawatsuhashi and H. Hyakutake
  • Journal Title: Far East Journal of Theoretical Statistics Volume: 52 Pages: 235-251
  • Peer Reviewed / Acknowledgement Compliant
• [Journal Article] Predisposing factors for orthodontis mini-implant failure defined by bone strains in patient-specific element model (2016)
  • 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
  • Peer Reviewed / Int'l Joint Research
• [Journal Article] Predisposing factors for orthodontic mini-implant failure defined by bone strains in patient-specific finite element models (2016)
  • Author(s): Mhd Hassan Albogha, Toru Kitahara, Mitsugu Todo, Hiroto Hyakutake, Ichiro Takahashi
  • Journal Title: Annals of Biomedical Engineering Volume: 44
  • Peer Reviewed / Int'l Joint Research
• [Journal Article] Note on estimating parameters in heterogeneous random effects models for two sample problem (2013)
  • Author(s): Kengo Ueda and Hiroto Hyakutake
  • Journal Title: Advances and Applications in Statistics Volume: 37 Pages: 187-193
  • Peer Reviewed
• [Journal Article] Relationship between the stability of muscle activity in the masseter muscle and craniofacial morphology (2013)
  • Author(s): K. Nakamura, A. Hara, S. Nakata, H. Hyakutake and I. Takahashi
  • Journal Title: Orthodontic Waves Volume: 72 Pages: 55-62
  • Peer Reviewed
• [Presentation] Profile analysis for random effect model with missing data (2016)
  • 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
  • Int'l Joint Research / Invited