Figure 4.

Model-based psychometric functions for the temporal generalization task. In (A), perception of duration is governed by the same psychophysical function for training and test stimuli; in (B), they are governed by different psychophysical functions. The top panel shows a continuous version of the surface for which cross-sectional plots at selected t were shown in Figure 3. The surface in (A) has the same parameters as in Figure 3 and governs perception of duration for the training stimulus in both columns and also for the test stimulus in (A); the surface in (B) only differs in that α = 5.4 instead and is assumed to govern perception of duration of the test stimulus in (B). The middle panel shows the partition of decision space into a central gray region of subjective durations that result in “same” responses and two outer white regions of subjective durations that result in “different” responses. The central gray region spans δ = 150 units on either side of the anchor point. The bottom panel shows the resultant psychometric function in Equation (3). The ordinate at each value of t equals the area under the cross-section at t of the surface in the top panel within the region that results in “same” responses.