NDLI: The variance of d′ estimates obtained in yes—no and two-interval forced choice procedures

Content Provider	Springer Nature Link
Author	Jesteadt, Walt
Copyright Year	2005
Abstract	In studies of detection and discrimination, data are often obtained in the form of a 2 × 2 matrix and then converted to an estimate of d′, based on the assumptions that the underlying decision distributions are Gaussian and equal in variance. The statistical properties of the estimate of d′, $$\hat d'$$ , are well understood for data obtained using the yes—no procedure, but less effort has been devoted to the more commonly used two-interval forced choice (2IFC) procedure. The variance associated with $$\hat d'$$ is a function of trued′ in both procedures, but for small values of trued′, the variance of $$\hat d'$$ obtained using the 2IFC procedure is predicted to be less than the variance of $$\hat d'$$ obtained using yes—no; for large values of trued′, the variance of $$\hat d'$$ obtained using the 2IFC procedure is predicted to be greater than the variance of $$\hat d'$$ from yes—no. These results follow from standard assumptions about the relationship between the two procedures. The present paper reviews the statistical properties of $$\hat d'$$ obtained using the two standard procedures and compares estimates of the variance of $$\hat d'$$ as a function of trued′ with the variance observed in values of $$\hat d'$$ obtained with a 2IFC procedure.
Starting Page	72
Ending Page	80
Page Count	9
File Format	PDF
ISSN	00315117
Journal	Perception & Psychophysics
Volume Number	67
Issue Number	1
e-ISSN	15325962
Language	English
Publisher	Springer-Verlag
Publisher Date	2005-01-01
Publisher Place	New York
Access Restriction	Subscribed
Subject Keyword	Cognitive Psychology
Content Type	Text
Resource Type	Article
Subject	Experimental and Cognitive Psychology Sensory Systems Psychology

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