• Search Research Projects
  • Search Researchers
  • How to Use
  1. Back to previous page

Investigation of justifiability of Likert scaling using nonmetric principal components analysis and multiple correspondence analysis

Research Project

Project/Area Number 11610113
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field 教育・社会系心理学
Research InstitutionNagoya University

Principal Investigator

MURAKAMI Takashi  Nagoya University, Graduate School of Education and Human Development, Professor, 大学院・教育発達科学研究科, 文部科学教官教授 (70093078)

Project Period (FY) 1999 – 2000
Project Status Completed (Fiscal Year 2000)
Budget Amount *help
¥3,200,000 (Direct Cost: ¥3,200,000)
Fiscal Year 2000: ¥1,300,000 (Direct Cost: ¥1,300,000)
Fiscal Year 1999: ¥1,900,000 (Direct Cost: ¥1,900,000)
KeywordsPsvchological measurement / Principal component analysis / Quantification Method III / Correspondence analysis / Nonmetric Methods / Likert scale / リッカート法 / 心理学的測定 / 態度測定
Research Abstract

Both Statisticians and beginners of psychological research often challenge the justifiability of Likert scaling method, summing up categorical responses to questionnaire items as quantitative variable, because categorical responses should be treated as ordinal scales instead of as interval scales as is in Likert method. While multiple correspondence analysis (MCA) is recommended as an alternative to Likert scaling, it always produces different output from that of principal components analysis (PCA) with orthogonal or oblique rotation, and the output includes special nonlinear components that are difficult to interpret. Analyses of several datasets obtained by administering personality inventories by the use of nonmetric PCA and its generalized version demonstrated that the way of treatment of categorical responses as interval scales is justified as long as the rationale of multiple correspondence analysis is acceptable since the obtained matrices of loadings and of scores are generally similar to those obtained by classical PCA which regards categorical responses as interval scales. Although nonlinear components including 'horse-shoe' are considered to be artifacts due to spurious dimensions in any indicator matrices, they could sometimes be interpreted as measures of extremity responses, a kind of response sets irrelevant to contents of psychological constructs to be purported to measure. Especially, it was found that the third component that has often the shape of a cubic function of category numbers was available for discovering subjects whose responses are consistent to extreme points of the constructs, but their scores are almost medium because their expressions are modest.

Report

(3 results)
  • 2000 Annual Research Report   Final Research Report Summary
  • 1999 Annual Research Report
  • Research Products

    (10 results)

All Other

All Publications (10 results)

  • [Publications] 村上隆: "共通重みを用いた3相データの主成分分析"柳井晴夫,岩崎学,岡太彬訓(編)多変量解析ハンドブック朝倉書店. (印刷中). (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Murakami,T.,Suzuki,Y.,and Nogami,Y.: "Issues in attitudes and personality measurement in educational psychology : Validity of measurement scales and causal modeling."Annual Report of Educational Psychology in Japan. 39. 200-216 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Ten Berge,J.M.F.,Kiers,H.A.L.,Murakami,T.and Van der Heijden,R.: "Transforming three-way arrays to multiple orthonormality."Journal of Chemometrics. 14. 275-284 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Murakami, T., Suzuki, Y., and Nogami, Y: "Issues in attitudes and personality measurement in educational psychology : Validity of measurement scales and causal modeling."Annual Report of Educational Psychology in Japan. 39. 200-216 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Ten Berge, J.M.F., Kiers, H.A.L., Murakami, T.and Van der Heijden, R.: "Transforming three-way arrays to multiple orthonormality."Journal of Chemometrics. 14. 275-284 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Murakami, T.: "Principal components analysis of three-mode data with common weights. Yanai, H., Iwasaki, M., and Okada, A.(Eds.) Handbook of multivariate analysis."Asakura shoten (in press). (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] 村上隆: "共通重みを用いた3相データの主成分分析"柳井晴夫,岩崎学,岡太彬訓(編)多変量解析ハンドブック 朝倉書店. (印刷中). (2001)

    • Related Report
      2000 Annual Research Report
  • [Publications] Murakami,T.,Suzuki,Y.,and Nogami,Y.: "Issues in attitudes and personality measurement in educational psychology : Validity of measurement scales and causal modeling."Annual Report of Educational Psychology in Japan. 39. 200-216 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] Ten Berge,J.M.F.,Kiers,H.A.L.,Murakami,T.and Van der Heijden,R.: "Transforming three-way arrays to multiple orthonormality."Journal of Chemometrics. 14. 275-284 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] 村上隆、野上康子: "心理学的個人差測定尺度構成のための主成分分析に使用について"名古屋大学 教育学部 紀要(心理学). 46. 99-109 (1999)

    • Related Report
      1999 Annual Research Report

URL: 

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

Information User Guide FAQ News Terms of Use Attribution of KAKENHI

Powered by NII kakenhi