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Study of Path Analysis of Causal Systems with generalized Linear Models

Research Project

Project/Area Number 11680325
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Statistical science
Research InstitutionOita Medical University

Principal Investigator

ESHIMA Nobuoki  Oita University, Medicine, Professor, 医学部, 教授 (20203630)

Project Period (FY) 1999 – 2002
Project Status Completed (Fiscal Year 2002)
Budget Amount *help
¥3,600,000 (Direct Cost: ¥3,600,000)
Fiscal Year 2002: ¥900,000 (Direct Cost: ¥900,000)
Fiscal Year 2001: ¥800,000 (Direct Cost: ¥800,000)
Fiscal Year 2000: ¥1,100,000 (Direct Cost: ¥1,100,000)
Fiscal Year 1999: ¥800,000 (Direct Cost: ¥800,000)
KeywordsCategorical Variable / Causal system / Contingency Tsble / Effect Analysis / Path Analysis / ATL / HTLV-I / Infection system / Mathematical Model / Population Dynamics / 一般化線形モデル / 感染システム / エントロピー / カルバック=ライブラー情報 / 対数オッズ比 / 人T細胞白血病ウイルス / 差分方形式 / categorical variables / causal system / contingency table / effect analysis / path analysis / RC(M)association model / 対数線形モデル / 感染率
Research Abstract

In this research project, the following topics were studied: (i) path analysis of causal systems with categorical; and (ii) the infection system of Human T-cell Leukemia Virus Type I (HTLV-I). In (i), a path analysis with logit models, effect analysis of factors in a causal system, and properties of generalized linear and canonical exponential models in entropy were investigated. These results were published in Eshima, N & Tabata, M (1999, Behaviormetrika, 26, 221-233), Eshima, N et al. (2001, Journal of the Japan Statistical Society, 31, 1-14), and Eshima, et al. (2001, Journal of Japan Statistical Society, 31, 15-26). In (ii), population dynamics of HTLV-I was considered with a continuous-time model and a discrete-time one. The necessary and sufficient condition of extinction of the virus in a population was given. The results were published in Eshima, N et al. (2001, Statistics in Medicine, 20, 3891-3900) and Eshima, N et al. (2003, IMA Journal of Mathematics Applied in Medicine and Biology, 20, 1-17).

Report

(5 results)
  • 2002 Annual Research Report   Final Research Report Summary
  • 2001 Annual Research Report
  • 2000 Annual Research Report
  • 1999 Annual Research Report
  • Research Products

    (22 results)

All Other

All Publications (22 results)

  • [Publications] Eshima, N, Tabata, M: "Effect analysis in loglinear mode approach to path analysis of categorical variables"Behaviormetrika. 26. 221-233 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Eshima, N, Tabata, M, Zhi, G: "Path analysis with logistic regression models : effect analysis of fully recursive causal systems of categorical variables"Journal of the Japan Statistical Society. 31. 1-14 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Eshima, N, Tabata, M: "Property of the RC(M) association model and a summary measure of association in the contingency tables"Journal of the Japan Statistical Society. 31. 15-26 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Eshima, N, Tabata, M, Kikuchi: "Analysis of the infection system of human T-cell leukemia virus type I based on a mathematical epidemic model"Statistics in Medicine. 20. 3891-3900 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Eshima, N, Tabata, M, Okada, T: "Population dynamics of HTLV-I infection : a discrete-time mathematical epidemic model approach"IMA Journal of Mathematics Applied in Medicine and Biology. 20. 1-17 (2003)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Eshima, N & Tabata, M: "Effect analysis in loglinear model approach to path analysis of categorical variables"Behaviormetrika. 26. 221-233 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Eshima, N & Tabata, M & Zhi, G: "Path analysis with logistic regression models: effect analysis of fully recursive causal systems of categorical variables"Journal of Japan Statistical Society. 31. 1-14 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Eshima, N & Tabata, M: "Property of RC(M) association model and a summary measure of association in the contingency tables"Journal of Japan Statistical Society. 31. 15-26

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Eshima,N, Tabata, M, Kikuchi, H & Karukaya, S: "Analysis of infection system of human T-cell leukemia virus type I based on a mathematical epidemic model"Statisitics in Medicine. 20. 3891-3900 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Eshima, N, Tabata, M, & Okada, T: "Population dynamics of HTVL-I infection: a discrete-time Mathematical epidemic model approach"IMA Journal of Mathematics Applied in Medicine and Biology. 20. 1-17 (2003)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Nobuoki Eshima: "Effect Analysis of Loglinear Approach to Path Analysis of Categorical Variables"Behaviormetrika. 26・2. 221-234 (1999)

    • Related Report
      2002 Annual Research Report
  • [Publications] Nobuoki Eshima: "Path Analysis with Logistic Regression Models : Effect Analysis of Fully Recursive Causal Systems of Categorical Variables"Journal of the Japan Statistical Society. 31・1. 1-14 (2001)

    • Related Report
      2002 Annual Research Report
  • [Publications] Nobuoki Eshima: "Property of the RC(M) Association Model and a Summary Measure of Association in the"Journal of the Japan Statistical Society. 31・1. 15-26 (2001)

    • Related Report
      2002 Annual Research Report
  • [Publications] Nobuoki Eshima: "Analysis of the Infection System of Human T-Cell Leukemia Virus Type I based on a Mathematical Epidemic Model"Statistics in Medicine. 20・12. 3891-3900 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] Nobuoki Eshima: "Population Dynamics of HTLV-I Infection : A Discrete-Time Mathematical Epidemic Model Approach"Mathematical Medicine and Biology. 20(to appear). (2003)

    • Related Report
      2002 Annual Research Report
  • [Publications] Nobuoki Eshima, Minoru Tabata: "Effect analysis in loglinear model approach to path analysis of categorical variables"Behaviormetrika. 26・2. 221-233 (1999)

    • Related Report
      2001 Annual Research Report
  • [Publications] Nobuoki Eshima et al.: "Path analysis with logistic regression models: Effect analysis of fully recursive causal systems of categorical variables"Journal of the Japan Statistical Soociety. 31・1. 1-14 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] Nobuoki Eshima et al.: "Property of the RC(M) association model and a summary measure of association in the contingency table"Journal of the Japan Statistical Soociety. 31・1. 15-26 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] Nobuoki Eshima et al.: "Analysis of the infection system of human T-cell leukemia virus type I based on a mathematical epidemic model"Statistics in Medicine.

    • Related Report
      2001 Annual Research Report
  • [Publications] Nobuohi Eshimal et al.: "Path analysis with logistic regression models : Effect analysis of fully recursive causal systems of categorical variables,"Journal of the Japan Statistical Society. 31・1(予定). (2001)

    • Related Report
      2000 Annual Research Report
  • [Publications] Nobuohi Eshimal et al.: "Property of the RC(M) association model and a summary measure of association in the contingency table,"Journal of the Japan Statistical society. 31・1(予定). (2001)

    • Related Report
      2000 Annual Research Report
  • [Publications] Nobuoki Eshima and Minoru Tabata: "Effect analysis of loglinear model approach to path analysis of categorical variables"Behaviormetrika. 26-2. 221-233 (1999)

    • Related Report
      1999 Annual Research Report

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Published: 1999-04-01   Modified: 2016-04-21  

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