Structural ordering analysis for interval rating data

Tatsunori Matsui*, Makoto Takeya

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


The questionnaire test using the rating scale data is applied effectively, since it features relatively high reliability and the simple processing. the semantic structure analysis (SS analysis) is proposed as the method of structural analysis for the rating scale data. In the SS analysis, the order of the items is considered, and the human behavior or the psychological aspects are interpreted from the ordering structure of the items. In the conventional questionnaire test using the rating scale data, the evaluation is possible in many cases even if the data are composed of a discrete single point. Depending on the questionnaire items, however, it may happen that the evaluator is not convinced of a discrete single point. From such a viewpoint, this paper proposes a structural analysis considering the ordering among items which is not a discrete point evaluation to evaluate by a single discrete point, but is an interval evaluation to evaluate by an interval on the rating scale. For this purpose, the difference between the ratings of two items is quantified anew based on the interval rating data. the inversely ordered rating ratio and the ordering coefficient are defined as the indices for the ordering. It is shown that the method proposed in this paper is an extension of the SS analysis. Furthemore, as the structural analysis, the ordering structure graph is constructed for the set of items. A method of constructing the ordering structure graph is presented, and the application process is shown through an actual example.

Original languageEnglish
Pages (from-to)91-103
Number of pages13
JournalElectronics and Communications in Japan (Part III: Fundamental Electronic Science)
Issue number10
Publication statusPublished - 1995 Oct


  • SS analysis
  • Structural analysis
  • interval rating
  • inversely ordered rating ratio
  • ordering
  • ordering coefficient
  • ordering structure graph
  • point rating
  • sequence reference

ASJC Scopus subject areas

  • Electrical and Electronic Engineering


Dive into the research topics of 'Structural ordering analysis for interval rating data'. Together they form a unique fingerprint.

Cite this