ABSTRACT
This chapter traces the development and impact of Signal Detection Theory in the study of perception. Emphasis is on the extension of Signal Detection Theory to visual perception in two-dimensional perceptual spaces, although the results presented here are general and not restricted to the visual domain or the two-dimensional case. Within the context of General Recognition Theory (GRT; Ashby & Townsend, 1986; see also chaps. 6 and 16 in this volume), theoretical relationships exist between the unobservable notions of perceptual separability and perceptual independence and the observable (and estimable) concepts of sampling independence, marginal response invariance, and two sets of signal detection parameters (Kadlec & Townsend, 1992). These relationships and their applications will be presented.
