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Statistical inference of semi-parametric varying coefficients for spatial data and its appication to survival data

Research Project

Project/Area Number 26330043
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Research Field Statistical science
Research InstitutionHiroshima University

Principal Investigator

Satoh Kenichi  広島大学, 原爆放射線医科学研究所, 准教授 (30284219)

Co-Investigator(Kenkyū-buntansha) 冨田 哲治  県立広島大学, 経営情報学部, 准教授 (60346533)
Co-Investigator(Renkei-kenkyūsha) KAMO KEN-ICHI  札幌医科大学, 医療人育成センター, 准教授 (10404740)
Project Period (FY) 2014-04-01 – 2017-03-31
Project Status Completed (Fiscal Year 2016)
Budget Amount *help
¥4,680,000 (Direct Cost: ¥3,600,000、Indirect Cost: ¥1,080,000)
Fiscal Year 2016: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2015: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
Fiscal Year 2014: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Keywords変化係数 / 成長曲線モデル / 回帰モデル / 経時測定 / 成長曲線 / ベースライン / コントロール
Outline of Final Research Achievements

In this research we developed a method for estimating the regression coefficients for a growth curve model when the time trend of the baseline has not been specified. The concept of this method is similar to that of the Cox proportional hazard model. No particular shape is assumed for the baseline time trends, or, alternatively, it can be assumed that they are estimated nonparametrically. Because of these nuisance parameters for the baseline trends,we do not have to pay attention to model those shapes. In addition to the simplicity of modeling baseline curves, we can also nonparametrically describe the baseline trends by using the residuals after the regression coefficients have been estimated.

Report

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

    (15 results)

All 2017 2016 2015 2014 Other

All Journal Article (5 results) (of which Int'l Joint Research: 2 results,  Peer Reviewed: 5 results,  Acknowledgement Compliant: 3 results,  Open Access: 1 results) Presentation (7 results) (of which Invited: 1 results) Book (1 results) Remarks (2 results)

  • [Journal Article] Logistic regression model for survival time analysis using time-varying coefficients2016

    • Author(s)
      Satoh K, Tonda T, Izumi S
    • Journal Title

      American Journal of Mathematical and Management Sciences

      Volume: 35 Issue: 4 Pages: 353-360

    • DOI

      10.1080/01966324.2016.1215945

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Estimating regression coefficients for balanced growth curve model when time trend of baseline is not specified2016

    • Author(s)
      K. Satoh and T. Tonda
    • Journal Title

      American Journal of Mathematical and Management Sciences

      Volume: 35(3) Issue: 3 Pages: 183-193

    • DOI

      10.1080/01966324.2015.1137253

    • Related Report
      2016 Annual Research Report 2015 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Detecting a Local Cohort Effect for Cancer Mortality Data Using a Varying Coefficient Model2015

    • Author(s)
      T.Tonda, K.Satoh, K.Kamo
    • Journal Title

      Journal of Epidemiology

      Volume: 25 Issue: 10 Pages: 639-646

    • DOI

      10.2188/jea.JE20140218

    • NAID

      130005107953

    • ISSN
      0917-5040, 1349-9092
    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] 経時的に観測されたテキストデータに対する変化係数モデルに基づく統計的な分類方法と視覚化について2015

    • Author(s)
      和泉志津恵, 佐藤健一, 川野徳幸
    • Journal Title

      計算機統計学

      Volume: 28 Pages: 81-92

    • NAID

      130005631732

    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Estimating semiparametric varying coefficients for geographical data in a mixed effects model2014

    • Author(s)
      K. Satoh and T. Tonda
    • Journal Title

      Journal of The Japan Statistical Society

      Volume: 44 Pages: 25-41

    • NAID

      130004951125

    • Related Report
      2014 Research-status Report
    • Peer Reviewed
  • [Presentation] 生存時間データにおけるロジスティック回帰モデルを用いたオッズ比の推測2017

    • Author(s)
      佐藤健一、冨田哲治、和泉志津恵
    • Organizer
      第27回日本疫学会学術総会
    • Place of Presentation
      ベルクラシック甲府
    • Year and Date
      2017-01-25
    • Related Report
      2016 Annual Research Report
  • [Presentation] 時空間変動を局外ベースラインとした回帰モデルによるがん統計データの分析2017

    • Author(s)
      冨田 哲治、 佐藤健一
    • Organizer
      第27回日本疫学会学術総会
    • Place of Presentation
      ベルクラシック甲府
    • Year and Date
      2017-01-25
    • Related Report
      2016 Annual Research Report
  • [Presentation] ベースラインを特定しないバランス型成長曲線モデルの推測について2016

    • Author(s)
      佐藤健一, 冨田哲治
    • Organizer
      2016年度 統計関連学会連合大会
    • Place of Presentation
      金沢大学
    • Year and Date
      2016-09-04
    • Related Report
      2016 Annual Research Report
  • [Presentation] 局外時空間変動のある回帰モデルにおける変化係数の推測について2016

    • Author(s)
      冨田哲治, 佐藤健一
    • Organizer
      2016年度 統計関連学会連合大会
    • Place of Presentation
      金沢大学
    • Year and Date
      2016-09-04
    • Related Report
      2016 Annual Research Report
  • [Presentation] 混合効果モデルを用いたセミパラメトリックな変化係数の推測について2015

    • Author(s)
      佐藤健一
    • Organizer
      2015年度 統計関連学会連合大会
    • Place of Presentation
      岡山大学
    • Year and Date
      2015-09-06
    • Related Report
      2015 Research-status Report
    • Invited
  • [Presentation] 混合効果モデルを用いたセミパラメトリックな変化係数の推測について2014

    • Author(s)
      佐藤健一, 冨田哲治
    • Organizer
      統計関連学会
    • Place of Presentation
      東京大学
    • Year and Date
      2014-09-13 – 2014-09-16
    • Related Report
      2014 Research-status Report
  • [Presentation] Detecting a cohort effect for cancer mortality data using varying coefficient model2014

    • Author(s)
      T. Tonda, K. Satoh and K. Kamo
    • Organizer
      20th IEA World Congress of Epidemiology 2014
    • Place of Presentation
      Anchorage, USA
    • Year and Date
      2014-08-17 – 2014-08-21
    • Related Report
      2014 Research-status Report
  • [Book] 医療系のための統計入門2015

    • Author(s)
      藤井良宣, 佐藤健一, 冨田哲治, 和泉志津恵
    • Total Pages
      216
    • Publisher
      実教出版
    • Related Report
      2015 Research-status Report
  • [Remarks] 配布資料など

    • URL

      http://home.hiroshima-u.ac.jp/ksatoh/download.htm

    • Related Report
      2016 Annual Research Report
  • [Remarks]

    • URL

      http://home.hiroshima-u.ac.jp/ksatoh/

    • Related Report
      2014 Research-status Report

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Published: 2014-04-04   Modified: 2018-03-22  

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