Analysis of Rayleigh match data with psychometric functions.

Color matches have been used for a variety of purposes, yet the psychometric properties of color-matching data have not been thoroughly investigated. A method is given for generating psychometric functions for the two ends of the color-matching range by use of a perceptual dimension for stimulus magnitude based on ratios of cone quantal catches. The analysis was applied to Rayleigh match data gathered from 250 naïve observers with an automated protocol. Slopes of the psychometric functions were significantly shallower for anomalous trichromats than for normal trichromats, consistent with the assumption that stimulus magnitude is based on ratios of cone quantal catches. These results indicate that the tester's criterion for response consistency can strongly affect Rayleigh match widths. The analysis may also be useful for other perceptual tasks, such as contrast matching and spatial alignment.