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1995 Fiscal Year Final Research Report Summary

Computer-aided study of correspondence analysis

Research Project

Project/Area Number 06680294
Research Category

Grant-in-Aid for General Scientific Research (C)

Allocation TypeSingle-year Grants
Research Field Statistical science
Research InstitutionOtemon Gakuin University

Principal Investigator

OKAMOTO Masashi  Otemon Gakuin University, Faculty of Management, Professor, 経営学部, 教授 (80029389)

Project Period (FY) 1994 – 1995
KeywordsArtificial data / Circular trait / Correspondence analysis / Guttman series / Linear trait / Quantification method / Spherical trait
Research Abstract

I carried out a series of research on artificial data for correspondence analysis (Hayashi's third method of quantification).
1. For artificial data having several linear traits, each solution of the eigenvalue problem belongs to the Guttman series of some linear trait. I proposed a method to identify them (Math.Japon., 1994).
2. I proposed artificial disk in order to add a linear trait representing the radius to the circular data by Iwatsubo (1984). I solved the eigenvalue problem (J.Japan Statist.Soc., 1994).
3. I presented artificial cylinder data having a circular trait and also a linear trait representing the length. The eigenvalue problem is solvable analytically (Statist.& Prob.Letters, 1994).
4. I presented artificial torus data having two circular traits and furthermore the solid torus data having also a linear trait representing the radius (Behaviormetrika, 1994).
5. These four papers are concerned with the situation where each line connects two points. The situation where some line passes through more than two points can be dealt with (Math.Japon., 1995).
6. Mr.H.Endo and myself wondered whether there exists some typical geometrical trait besides the linear or circular trait. We found that each of five types of regular polyhedrons leads to the spherical trait which has three dimensions, extending one dimension of linear trait and two dimensions of circular trait (J.Japan Statist.Soc., 1995).

  • Research Products

    (12 results)

All Other

All Publications (12 results)

  • [Publications] Masashi Okamoto: "Spherical trait in correspondence analysis of artificial data" Journal of Japan Statistical Society. 25. 183-191 (1995)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Masashi Okamoto: "Correspondence analysis of some artificial data with multiple circular structure" Mathematica Japonica. 42. 201-212 (1995)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Masashi Okamoto: "Crrespondence analysis of an artificial torus data" Behaviormetrika. 21. 149-161 (1994)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Masashi Okamoto: "Correspondence analysis of an artificial disk data" Journal of Japan Statistical Society. 24. 157-168 (1994)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Masashi Okamoto: "Correspondence analysis of an artificial cylinder data" Statistics & Probability Letters. 20. 101-112 (1994)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Masashi Okamoto: "The Guttman effect of a linear trait in Hayashi's third method of quantification" Mathematica Japonica. 39. 523-535 (1994)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Masashi Okamoto: "Spherical trait in correspondence analysis of artificial data" J.Japan Statist.Soc.vol.25. 183-191 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Masashi Okamoto: "Correspondence analysis of some artificial data with multiple circular structure" Math.Japon.vol.42. 201-212 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Masashi Okamoto: "Correspondence analysis of an artificial torus data" Behaviormetrika. vol.21. 149-161 (1994)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Masashi Okamoto: "Correspondence analysis of an artificial disk data" J.Japan Statist.Soc.vol.24. 157-168 (1994)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Masashi Okamoto: "Correspondence analysis of an artificial cylinder data" Statist.Prob.Letters. vol.20. 101-112 (1994)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Masashi Okamoto: "The Guttman effect of a linear trait in Hayashi's third method of quantification" Math.Japon.vol.39. 523-535 (1994)

    • Description
      「研究成果報告書概要(欧文)」より

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Published: 1997-03-04  

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