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Multivariate analysis methods for frequency-valued data

Research Project

Project/Area Number 23653233
Research Category

Grant-in-Aid for Challenging Exploratory Research

Allocation TypeMulti-year Fund
Research Field Experimental psychology
Research InstitutionThe National Center for University Entrance Examinations

Principal Investigator

MIYANO Hisao  独立行政法人大学入試センター, 研究開発部, 教授 (90200196)

Co-Investigator(Kenkyū-buntansha) ARAI Sayaka  大学入試センター, 研究開発部, 助教 (00561036)
Project Period (FY) 2011 – 2012
Project Status Completed (Fiscal Year 2012)
Budget Amount *help
¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2012: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2011: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Keywords多変量解析 / 尺度化 / 対応分析 / 多重対応分析 / 区間値データ / 多変量分析 / データ解析 / シンボリックデータ
Research Abstract

In psychological studies, the mean values of responses are often treated as a main concern of statistical data analysis, neglecting the variations of responses. In this study, we addressed the issue of multivariate analysis methods for analyzing the frequency distribution data of responses, and, utilizing the idea of mixture distribution, developed a principal component analysis method for interval-valued data, and a scaling method of successive categories for contingency table. Also the latter method was extended to contingency table with more than two variables
In psychological studies, the mean values of responses are often treated as a main concern of statistical data analysis, neglecting the variations of responses. In this study, we addressed the issue of multivariate analysis methods for analyzing the frequency distribution data of responses, and, utilizing the idea of mixture distribution, developed a principal component analysis method for interval-valued data, and a scaling method of successive categories for contingency table. Also the latter method was extended to contingency table with more than two variables

Report

(3 results)
  • 2012 Annual Research Report   Final Research Report ( PDF )
  • 2011 Research-status Report
  • Research Products

    (3 results)

All 2012 2011 Other

All Presentation (3 results)

  • [Presentation] シンボリック・データの主成分分析について2012

    • Author(s)
      宮埜寿夫、荒井清佳
    • Organizer
      第76回日本心理学会大会
    • Place of Presentation
      専修大学
    • Year and Date
      2012-09-11
    • Related Report
      2012 Annual Research Report 2012 Final Research Report
  • [Presentation] 統一試験の諸問題について2011

    • Author(s)
      宮埜寿夫
    • Organizer
      応用統計学会シンポジウム
    • Place of Presentation
      成蹊大学
    • Year and Date
      2011-10-15
    • Related Report
      2012 Final Research Report
  • [Presentation] 統一試験の諸問題について

    • Author(s)
      宮埜寿夫
    • Organizer
      応用統計学会ワークショップ
    • Place of Presentation
      成蹊大学
    • Related Report
      2011 Research-status Report

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Published: 2011-08-05   Modified: 2019-07-29  

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