In a recent paper [J. Opt. Soc. Am. A <b>17</b>, 206 (2000)], a modified detectability index, d<sub>r</sub><sup>′</sup>, was proposed to accommodate correlations between internal responses in multiple-alternative forced-choice (MAFC) experiments. The derivation given in that work pertained only to two-alternative forced choice, although it was shown empirically that the result held for general MAFC tasks when the correlation between responses is constant. Here we present a rigorous derivation that shows that the d<sub>r</sub><sup>′</sup> result generalizes to MAFC tasks in this case.
© 2000 Optical Society of America
(110.3000) Imaging systems : Image quality assessment
(330.1880) Vision, color, and visual optics : Detection
(330.4060) Vision, color, and visual optics : Vision modeling
(330.7310) Vision, color, and visual optics : Vision
Craig K. Abbey and Miguel P. Eckstein, "Derivation of a detectability index for correlated responses in multiple-alternative forced-choice experiments," J. Opt. Soc. Am. A 17, 2101-2104 (2000)