A general area theorem for the same-different paradigm

Christophe Micheyl, Huanping Dai

Research output: Contribution to journalArticle

8 Citations (Scopus)

Abstract

According to a well-known theorem in psychophysics (Green & Swets, 1966), the area under the receiver operating characteristic (ROC) for the yes-no paradigm equals the proportion of correct responses of an unbiased observer in the two-interval, two-alternative, forced choice paradigm (2I2AFC). Here, we demonstrate a similar relationship between the ROC area in the two-interval same-different (AX or 2IAX) paradigm, and the proportion correct in the four-interval same-different (4IAX, also known as dual-pair comparison) paradigm. The theorem demonstrated here is general, in the sense that it does not require that the sensory observations have a specific distribution (e.g., Gaussian), or that they be statistically independent.

Original languageEnglish (US)
Pages (from-to)761-764
Number of pages4
JournalPerception and Psychophysics
Volume70
Issue number5
DOIs
StatePublished - Jul 2008

Fingerprint

ROC Curve
Psychophysics
paradigm
Normal Distribution
recipient
psychophysics
Paradigm
Proportion
Receiver Operating Characteristic

ASJC Scopus subject areas

  • Psychology(all)
  • Experimental and Cognitive Psychology

Cite this

A general area theorem for the same-different paradigm. / Micheyl, Christophe; Dai, Huanping.

In: Perception and Psychophysics, Vol. 70, No. 5, 07.2008, p. 761-764.

Research output: Contribution to journalArticle

Micheyl, Christophe ; Dai, Huanping. / A general area theorem for the same-different paradigm. In: Perception and Psychophysics. 2008 ; Vol. 70, No. 5. pp. 761-764.
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