Lower bounds to the reliabilities of factor score estimators

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Abstract

Under the general common factor model, the reliabilities of factor score estimators might be of more interest than the reliability of the total score (the unweighted sum of item scores). In this paper, lower bounds to the reliabilities of Thurstone’s factor score estimators, Bartlett’s factor score estimators, and McDonald’s factor score estimators are derived and conditions are given under which these lower bounds are equal. The relative performance of the derived lower bounds is studied using classic example data sets. The results show that estimates of the lower bounds to the reliabilities of Thurstone’s factor score estimators are greater than or equal to the estimates of the lower bounds to the reliabilities of Bartlett’s and McDonald’s factor score estimators
Original languageEnglish
Pages (from-to)648-659
JournalPsychometrika
Volume82
Issue number3
DOIs
Publication statusPublished - 2017

Keywords

  • reliability
  • classical test theory
  • common factor model
  • factor scores

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