Using the standard staircase to measure the point of subjective equality: a guide based on computer simulations

In experiments that measure a point of subjective equality, it is necessary to employ a psychophysical technique that measures the 50% point (P50) on the psychometric function. The standard staircase is an attractive candidate, because its simplicity makes it easy to understand and implement. However, Pentland (1980, Perception & Psychophysics, 28, 377-379) found his own maximum likelihood method (Best PEST) to be considerably less variable than the standard staircase. Here, computer simulations were used to study the effects of manipulating several parameters of the standard staircase in order to try to find a variant that would be competitive with the performance of Best PEST. A graphical summary of some of the standard staircase implementations that were found to be most stable is presented in order that investigators may choose easily the parameters best suited to their requirements. A comparison with an implementation of Pentland's Best PEST failed to replicate Pentland's finding, suggesting that investigators should have no misgivings about the standard staircase in experiments that measure a point of subjective equality.