TY - JOUR
T1 - Estimation of Thurstonian Models for Various Forced-Choice Sensory Discrimination Methods as a Form of the "M+N" Test
AU - Bi, Jian
AU - Lee, Hye Seong
AU - O'Mahony, Michael
N1 - Publisher Copyright:
© 2014 Wiley Periodicals, Inc.
PY - 2014
Y1 - 2014
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=84923020685&partnerID=8YFLogxK
U2 - 10.1111/joss.12114
DO - 10.1111/joss.12114
M3 - Article
AN - SCOPUS:84923020685
SN - 0887-8250
VL - 29
SP - 325
EP - 338
JO - Journal of Sensory Studies
JF - Journal of Sensory Studies
IS - 5
ER -