Remarks on the identifiability of thurstonian ranking models: Case V, Case III, or neither?

研究成果: 雜誌貢獻文章

20 引文 斯高帕斯(Scopus)

摘要

It is well-known that the representations of the Thurstonian Case III and Case V models for paired comparison data are not unique. Similarly, when analyzing ranking data, other equivalent covariance structures can substitute for those given by Thurstone in these cases. That is, we may more broadly define the family of covariance structures satisfying Case III and Case V conditions. This paper introduces the notion of equivalence classes which defines a more meaningful partition of the covariance structures of the Thurstonian ranking models. In addition, the equivalence classes of Case V and Case III are completely characterized.

原文英語
頁(從 - 到)233-240
頁數8
期刊Psychometrika
65
發行號2
DOIs
出版狀態已發佈 - 2000 六月

ASJC Scopus subject areas

  • Psychology(all)
  • Applied Mathematics

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