Estimation of Thurstonian Models for Various Forced-Choice Sensory Discrimination Methods as a Form of the "M+N" Test

Jian Bi, Hye Seong Lee, Michael O'Mahony

Research output: Contribution to journalArticlepeer-review

16 Scopus citations

Abstract

Psychometric functions for discrimination tests, which connect probabilities of correct response, pc, with Thurstonian discriminal distances, d′, are of theoretical and practical significance. This paper uses a computer-intensive approach to produce simulation-derived psychometric functions for the "M+N" test, which is a generalization and can be considered as a framework of many forced-choice methods. The paper demonstrates and describes chance probabilities in different situations for the "M+N" test. The paper compares the performances of the specified and unspecified "M+N" test with the M=N test. The paper provides novel tables for pc and d′ for four specific versions of the "M+N" test: the specified "two-out-of-five" test (i.e., the "M+N" test with M=3 and N=2); the unspecified "one-out-of-four" test (i.e., the "M+N" test with M=3 and N=1); the specified and unspecified octad tests (i.e., the "M+N" test with M=N=4). The corresponding B values, for calculation of the variances of d' for the tests, are also provided. The concept and practice of pseudo-correct response, i.e., forgiveness introduced by Ennis, are discussed and generalized.

Original languageEnglish
Pages (from-to)325-338
Number of pages14
JournalJournal of Sensory Studies
Volume29
Issue number5
DOIs
StatePublished - 2014

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