An analytical psychometric function for the dual reference duo-trio (DRDT) method

Jian Bi, Hye Seong Lee, Michael O'Mahony

Research output: Contribution to journalArticlepeer-review


The dual reference duo-trio (DRDT) is an improved balanced-reference duo-trio method, in which two same references are presented in a test but the reference is changed across the tests. The performance of the DRDT has been investigated theoretically based on a simulation-derived psychometric function in a previous paper published in this journal. The DRDT method is more powerful than the conventional duo-trio and the triangle methods. This paper derives an analytical psychometric function for the DRDT. Another form of the psychometric function for the DRDT is also derived based on the Torgerson's method of triads. Tables and R codes are provided for presentations and calculations of Pc, δ (or d'), and variance of d' (B-value) based on the analytical psychometric function for the method.

Original languageEnglish
Article number104418
JournalFood Quality and Preference
StatePublished - Mar 2022

Bibliographical note

Publisher Copyright:
© 2021 Elsevier Ltd


  • Dual reference duo-trio (DRDT) method
  • Duo-trio method (DT)
  • Psychometric function
  • Thurstonian discriminal distance
  • Torgerson's method of triads
  • Triangle method


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