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Study of Causal Analysis of Categorical Variables based Information Theory

Research Project

Project/Area Number 09680313
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 MEDICAL UNIVERSITY Faculty of Medicine, Professor, 医学部, 教授 (20203630)

Project Period (FY) 1997 – 1998
Project Status Completed (Fiscal Year 1998)
Budget Amount *help
¥1,500,000 (Direct Cost: ¥1,500,000)
Fiscal Year 1998: ¥1,500,000 (Direct Cost: ¥1,500,000)
KeywordsCategorical variable / Causal analysis / Causal effect / Genelarized linear model / Information theory / Odds / Path analysis / Path coefficient / ロジットモデル / 対数線形モデル / パス解析
Research Abstract

In this study, causal analysis of categorical variables by using logit, loglinear, and generalized linear models was studied. The usual method for path analysis is based on linear regression models, and LISREL model is widely applied to many scientific fields, e.g. psychology, economics, social science, etc. On the other hand, in path analysis of categorical variables linear relationships among the variables cannot be assumed, and it is a difficulty question how the causal effects are assessed. In the first year, path analyisis based on logit models was studied. The causal effects, i.e. direct and indirect effects, were defined through baseline log odds ratio, and the path coefficient to be assigned to each path was defined by Kullaback-Leibler information that describes the distance between an employed model and the model that explanatory variables and response variables are independent. The results are reported in the paper :
Path analysis of categorical variables based on logit models,
and the above paper is submitted for publication. In the final year, path analysis based on loglinear and generalized linear models was considered by developing the results in the first year of this research. Causal effects of explanatory variables were discussed in both empirical and observational studies. I am getting the research completed as the paper :
Effect analysis in generalized linear models.

Report

(3 results)
  • 1998 Annual Research Report   Final Research Report Summary
  • 1997 Annual Research Report
  • Research Products

    (12 results)

All Other

All Publications (12 results)

  • [Publications] Tabata,M.& Eshima,N.: "The Spectrum of the Transport Operator・・・" Rendiconti del Seminario Mathematico. 97・2. 211-233 (1997)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] Eshima,N.& Tabata,M.: "The RC(M)Association Model and Canonical・・・" Journal of the Japan Statistical Society. 27・1. 109-120 (1997)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] Tabata,M.and Eshima,N.: "The Caucliy Problem of the System of Equations・・・" Applied Mathematics and Computation. 94・1. 45-64 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] Tabata,M.and Eshima,N.: "Decay of Solutions to the Mihed Problem for・・・" Rendiconti del Semenario Mathematico. (accepted).

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] Tabata, M.& Eshima, N.: "The Spectrum of the Transport Operator with a Potential Term under the Special Periodity Condition" Rendiconti del Seminario. 97-2. 211-233 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] Eshima, N.& Tabata, M.: "The RC (M) Association Model and Canonical Correlation Analysis" Journal of the Japan Statistical Society. 27-1. 109-120 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] Tabata, M.& Eshima, N.: "The Cauchy Problem for the System of Equations Describing Migration Motivated by Regional Economic Dsparity" Applied Mathematics and Computation. 94-1. 45-64 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] Tabata, M.& Eshima, N.: "Decay of Solution to the Mixed Problem for the Linearized Boltzmann Equation with a potential Term in a Polyhedral Bounded Domain" Rendiconti del Seminario, accepted for pulication. (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] NoBuoki Eshima: "The RC (M) association model and canouical cerrelatein analysis" Journal of the Japan Stutistical Society. 27・2. 109-120 (1997)

    • Related Report
      1998 Annual Research Report
  • [Publications] Minoru Tabata: "The spectrum of the transport aperater with ---" Rendiconti del Sceminario Mathematico. 97. 211-233 (1997)

    • Related Report
      1998 Annual Research Report
  • [Publications] Toyosawa E.: "Analysis of Facters related medical compliance ---" Japanese Journal of Clinical Pharmacology. 28. 667-681 (1997)

    • Related Report
      1998 Annual Research Report
  • [Publications] Kazuo Ikawa: "Evaluation of clonazepam pharmacokinetics ---" Japanese Journal of Hospital Phormacy. 24・2. 130-135 (1998)

    • Related Report
      1998 Annual Research Report

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Published: 1998-04-01   Modified: 2016-04-21  

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