Applicability of the parallel-clock model to duration discrimination

The parallel-clock model assumes that when an observer is presented with two durations in succession, the total subjective duration (corresponding to the sum of first and second durations) and the second duration are each accumulated in a separate sensory register. In dealing with some relation between the two durations, the observer compares the difference between the contents of the two registers with the contents of the second register. With the further assumption that the psychophysical power law is valid for the continuum of time, the model has previously been shown to account well for duration scaling data. After adapting the model in the vein of Thurstone for duration discrimination data, it was tried out on such data gathered by Allan (1977) from 13 observers. With chi-square as the examined statistic, (1) five distributions were compared and the normal one chosen, (2) one categorization model, three choice models, and two linear regression models were compared with the 3-parameter version of the parallel-lock model, which proved superior, and (3) a 4–5-parameter version of the parallel-clock model, assuming a discontinuity in the psychophysical function, was shown to yield an excellent fit in terms of the Kolmogorov-Smirnov statistic.