ABSTRACT
This chapter explores the case of perceptual integrality and add optimal responding to the slate of decision processes applied to component same-different judgments. It reviews the basic structure of the General Recognition Theory (GRT) as detailed presentations can be found in numerous places. When the GRT is extended to tasks other than identification, different decision models need to be articulated, and analogous concepts derived with respect to these new models should embody decisional separability. Ashby and Maddox provide a precise description of the structure of the speeded classification tests, the mathematical foundation for their use within the GRT framework, and the often unstated assumptions that underlie them. An earlier extension of the GRT to the same-different comparison task included two types of decision processes: sub classification and distance-based. Within the GRT framework, perceptual independence holds if and only if the joint density of perceptual effects for a given stimulus is equal to the product of the corresponding marginal densities.
