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"Confirmatory" independent component analysis and independent factor analysis

Research Project

Project/Area Number 12680315
Research Category

Grant-in-Aid for Scientific Research (C)

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

Principal Investigator

KANO Yutaka  Osaka University, Graduate School of Human Sciences Associate Professor, 大学院・人間科学研究科, 助教授 (20201436)

Co-Investigator(Kenkyū-buntansha) ICHIKAWA Masanori  Tokyo University of Foreign Studies Associate Professor, 外国語学部, 助教授 (20168313)
MURATA Noboru  Waseda University, School of Science and Engineering Associate Professor, 理工学部, 助教授 (60242038)
HARADA Akira  Osaka University, Graduate School of Human Sciences Research Associate, 大学院・人間科学研究科, 助手 (10263336)
Project Period (FY) 2000 – 2002
Project Status Completed (Fiscal Year 2002)
Budget Amount *help
¥3,400,000 (Direct Cost: ¥3,400,000)
Fiscal Year 2002: ¥600,000 (Direct Cost: ¥600,000)
Fiscal Year 2001: ¥1,400,000 (Direct Cost: ¥1,400,000)
Fiscal Year 2000: ¥1,400,000 (Direct Cost: ¥1,400,000)
Keywordsindependent component analysis / independent factor analysis / structural equation modeling / identifiability / higher-order moment / higher-order cumulant / confirmatory and exploratory analysis / model fit / 独立成分分析(ICA) / 構造方程式モデリング(SEM) / 因子分析 / 独立性 / 共通性 / 誤差共分散 / 因子仮説 / 変数選択 / 独立 / 因子回転 / 共分散構造分析
Research Abstract

(1) An international symposium on independent component analysis (ICA) and structural equation modeling (SEM) was held jointly with IMPS2001 at the Osaka University Convention Center in July 2001. We invited Professors A. Hyvarinen from Finland, P. M. Bentler from USA, Sik-Yum Lee from Hong Kong, A, Mooijaart from the Netherlands besides Japanese invited speakers. We discussed how we can incorporate the idea from confirmatory nature of SEM with the ICA field.
(2) We showed that the model is not estimable where both specific factors and common factors influence on a dependent variable in the SEM framework and that the model can be estimated if the specific factors are mutually independent and nonnonnally distributed. The model is nothing a confirmatory ICA model.
(3) It was shown that there are many models that are not estimable in the SEM framework but can be estimated within the ICA formulation if latent factors are nonnormal and independent. For instance, the exploratory factor analysis model with an arbitrary error structure is estimable if the errors are normally distributed.
(4) We suggested a new goodness-of-fit test statistic of nonnormal structural models using higher-order moments.

Report

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

    (36 results)

All Other

All Publications (36 results)

  • [Publications] Kano, Y.: "Variable selection for structural models"Journal of Statistical Planning and Inference. Vol.108. 173-187 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Kano, Y., Azuma, Y.: "Use of SEM programs to precisely measure scale reliability"New Developments in Psychometrics (Yanai, H. et al., Eds.). 141-148 (2003)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Shimizu, S., Kano, Y.: "Examination of independence in independent component analysis"New Developments in Psychometrics (Yanai, H. et al., Eds.). 665-672 (2003)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Hyvarinen, A., Kano, Y.: "Independent component analysis for non-normal factor analysis"New Developments in Psychometrics (Yanai, H. et al., Eds.). 649-656 (2003)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] 狩野 裕: "構造方程式モデリングは,因子分析,分散分析,パス解析のすべてにとって代わるのか?"行動計量学. (印刷中). (2003)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] 狩野 裕: "再討論:誤差共分散の利用と特殊因子の役割"行動計量学. (印刷中). (2003)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] 甘利俊一, 狩野 裕, 佐藤俊哉 他: "多変量解析の展開--隠れた構造と因果を推理する"岩波書店. 223 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Yanai, H., Okada, A., Shigemasu, K.Kano, Y., Meulman, J.(Editors): "New Developments in Psychometrics"Springer Verlag. 702 (2003)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Kano, Y.: "Does structural equation modeling outperform traditional factor analysis, analysis of variance and path analysis?"The Japanese Journal of Behaviormetrics in press. (In Japanese).

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Kano, Y.: "Rejoinder: Use of error covariances and role of factors"The Japanese Journal of Behaviormetrics in press. (In Japanese).

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Kano, Y. and Azuma, Y., Yanai, H. et al., Eds.: "Use of SEM programs to precisely measure scale reliability"New Developments in Psycbometrics. 141-148 (2003)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Shimizu, S. and Kano, Y., Yanai, H. et al., Eds.: "Examination of independence in independent component analysis"New Developments in Psychometrics. 665-672 (2003)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Hyvarimen, A. and Kano, Y.,Yanai, H. et al., Eds.: "Independent component analysis for non-normal factor analysis"New Developments in Psychometrics. 649-656 (2003)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Yanai, H., Okada, A., Shigemasu, K., Kano, Y., Meulman, J. (Editors): New Developments in Psychometrics Springer Verlag. (2003)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Kano, Y.: "Variable selection for structural models"Journal of Statistical Planning and Inference. Vol. 108. 173-187 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Kana Y.: "Structural equation modeling for experimental data"In Structural Equation Modeling: Present and Future [A Festschrift in honor of Karl Joreskog](Eds., Bob Cudek, Stephen du Toit and Dag Sorbom) SSI:Chicago,. 381-402 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Kano, Y. and Harada, A.: "Stepwise variable selection in factor analysis"Psychometrika. Vol. 65. 7-22 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Kano, Y.: "Towards transition of the statistical paradigm: Statisticians should make significant collaborations with applied researchers"Journal of the Japan Statistical Society(In Japanese). Vol. 30. 305-314 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Kano, Y: "Variable selection for structural models"Journal of Statistical Planning and Inference. Vol.108,No.1-2. 173-187 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] Kano, Y., Azuma, Y.: "Use of SEM programs to precisely measure scale reliability"New Developments in Psychometrics(Yanai, H. et al., Eds.). 141-148 (2003)

    • Related Report
      2002 Annual Research Report
  • [Publications] Shimizu, S., Kano, Y.: "Examination of independence in independent component analysis"New Developments in Psychometrics (Yanai, H. et al., Eds.). 665-672 (2003)

    • Related Report
      2002 Annual Research Report
  • [Publications] Hyvarinen, A., Kano, Y.: "Independent component analysis for non-normal factor analysis"New Developments in Psychometrics(Yanai, H. et al., Eds.). 649-656 (2003)

    • Related Report
      2002 Annual Research Report
  • [Publications] 狩野 裕: "構造方程式モデリングは,因子分析,分散分析,パス解析のすべてにとって代わるのか?"行動計量学. (印刷中). (2003)

    • Related Report
      2002 Annual Research Report
  • [Publications] 狩野 裕: "再討論:誤差共分散の利用と特殊因子の役割"行動計量学. (印刷中). (2003)

    • Related Report
      2002 Annual Research Report
  • [Publications] 甘利俊一, 狩野 裕, 佐藤俊哉 他: "多変量解析の展開--隠れた構造と因果を推理する"岩波書店. 223 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] Yanai, H., Okada, A., Shigemasu, K., Kano, Y., Meulman, J.(Editors): "New Developments in Psychometrics"Springer Verlag. 702 (2003)

    • Related Report
      2002 Annual Research Report
  • [Publications] Kana, Y.: "Variable selection for structural models"Journal of Statistical Planning and Inference. (2002)

    • Related Report
      2001 Annual Research Report
  • [Publications] Kana, Y.: "Towards transition of the statistical paradigm : Statisticians should make significant collaborations with applied researchers"Journal of the Japan Statistical Society. 30(3)(in Japanese). 305-314 (2000)

    • Related Report
      2001 Annual Research Report
  • [Publications] Kano, Y.: "Structural equation modeling for experimental data"Structural Equation Models : Present and Future [A Festschrift in honor of Karl Joreskog]. 381-402 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] Kano, Y.: "All about variable selection in factor analysis and structural equation modeling"International Meeting of the Psychometric Society(IMPS2001)ABSTRACTS. 205-206 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] Shimizu, S., Kano, Y.: "Examination of Independence in Independent Component Analysis"International Meeting of the Psychometric Society(IMPS2001)ABSTRACTS. 154 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] Kano, Y., Azuma, Y.: "Use of SEM programs to precisely measure scale reliability"International Meeting of the Psychometric Society(IMPS2001)ABSTRACTS. 57 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] 小野寺孝義, 狩野裕 編著: "文科系の学生のための数学"ナカニシヤ出版. 320 (2002)

    • Related Report
      2001 Annual Research Report
  • [Publications] Kano,Y.: "Variable selection for structaral models"Journal of Statisical Inference and Planning. (2001)

    • Related Report
      2000 Annual Research Report
  • [Publications] Kano,Y.: "Structural modeling for experimontal data"In Structural Equat in Models : Present and Future. 381-402 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] Kano,Y.and Harada,A.: "Stepwise Variable selection in factor analysis"Psychometrika. 65(1). 7-22 (2000)

    • Related Report
      2000 Annual Research Report

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Published: 2000-04-01   Modified: 2016-04-21  

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