(a) Illustration of how the MLE model combines two
interval-discrimination cues. Cue 1 is based on the difference between the base
interval (τ) and the comparison interval (τ +
Δ), which we assume follows Weber’s law:
σ1 =
wfτ + c. Cue 2 comes
from synchrony/asynchrony categorization: when one interval falls within the
simultaneity window and the other does not, this is a strong cue as to which is
longer. The probability of this occurring peaks near the boundary of the
simultaneity. We assume the discriminability function is normal distributed in
logarithmic. According to the MLE model (see Box 1), the discrimination threshold of the combined cues
is
(b) Interval discrimination thresholds for subject CL (dots) as a
function the base interval, separated for audiovisual, and visual-auditory
conditions (adapted from [35]), and the
prediction of the MLE model (curves).