Derivation of a detectability index for correlated responses in multiple-alternative forced-choice experiments

Journal of the Optical Society of America A: Optics and Image Science, and Vision

Volumn 17, Issue 11, 2000, Pages 2101-2104

  Abbey, Craig K ^a,b   Eckstein, Miguel P ^a,c  

^a CEDARS SINAI MEDICAL CENTER   (United States)

^b UNIVERSITY OF CALIFORNIA   (United States)

^c UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; DECISION MAKING; HUMAN; NON-PROGRAMMATIC; PHYSIOLOGY; PSYCHOLOGICAL MODEL;

NON-PROGRAMMATIC;

CHOICE BEHAVIOR; HUMANS; MODELS, PSYCHOLOGICAL;

OPTICAL CORRELATION; PROBABILITY; STATISTICAL METHODS; VECTORS;

DETECTABILITY INDEX;

SIGNAL DETECTION;

EID: 0034320614     PISSN: 10847529     EISSN: 15208532     Source Type: Journal    
DOI: 10.1364/JOSAA.17.002101     Document Type: Article

References (10)

1. D. M. Green and J. A. Swets, Signal Detection Theory and Psychophysics (Wiley, New York, 1966).
2. L. W. Nolte and D. Jaarsma, “More on the detection of one of M orthogonal signals,” J. Acoust. Soc. Am. 41, 497-505 (1967).
3. D.M. Green and T. G. Birdsall, “Detection and recognition,” Psychol. Rev. 85, 192-206 (1978).
4. P. Elliot, “Forced choice tables,” in Signal Detection and Recognition by Human Observers, J. A. Swets, ed. (Wiley, New York, 1964), pp. 679-684.
5. M. P. Eckstein, C. K. Abbey, and F. O. Bochud, “Visual signal detection in structured backgrounds. IV. Figures of merit for model performance in multiple-alternative forced- choice detection tasks with correlated responses,” J. Opt. Soc. Am. A 17, 206-217 (2000).
6. A. E. Burgess, X. Li, and C. K. Abbey, “Visual signal detectability with two noise components: Anomalous masking effects,” J. Opt. Soc. Am. A 14, 2420-2442 (1997).
7. M. P. Eckstein, A. J. Ahumada, and A. B. Watson, “Visual signal detection in structured backgrounds. II. Effects of contrast gain control, background variations, and white noise,” J. Opt. Soc. Am. A 13, 1777-1787 (1997).
8. In both of the studies referenced, the images have two components of noise. One component is independent across alternatives and across the experimental trials. The second component is replicated (i.e., completely correlated) in each of the alternatives of a single trial but is independent from trial to trial. In this case, the detectability with respect to the independent component is equivalent to the correlation- corrected detectability index proposed by Eckstein et al.5 and defined in Eq. (1).
9. K. V. Mardia, J. T. Kent, and J. M. Bibby, Multivariate Analysis (Academic, San Diego, Calif., 1979), pp. 36-37.
10. Ref. 9, pp. 470-473.