Abstract

Geometric squares, and rectangles (squares vertically elongated by 2%), were presented singly in a random sequence to three observers. By using the detectability-model parameter <i>d</i>′ as a measure, average discriminability was found to be 1.32. Two-, three-, and four-category response scales were shown to give equivalent discriminability data. Discriminability was not significantly affected by the inclusion of an extraneous stimulus (a square vertically elongated either 1% or 3%) interspersed randomly in the square-rectangle sequence without the observers’ knowledge. The data were interpreted as a favorable empirical test of detectability-theory assumptions applied to a visual discrimination task.

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  1. W. W. Peterson and T. G. Birdsall, "The Theory of Signal Detectability," Electronic Defense Group, University of Michigan, Tech. Rep. No. 13 (1953).
  2. W. P. Tanner Jr. and T. G. Birdsall, J. Acoust. Soc. Am. 30, 922 (1958).
  3. F. R. Clarke, T. G. Birdsall, and W. P. Tanner Jr., J. Acoust. Soc. Am. 31, 629 (1959).
  4. J. P. Egan, J. Acoust. Soc. Am. 29, 482 (1957).
  5. W. P. Tanner Jr. and J. A. Swets, Psychol. Rev. 61, 401 (1954).
  6. An inspection of Fig. 1 (a) indicates that, as FAR and HR increase, the transformed values decrease. Such a standard-score transformation differs slightly from the transformation commonly employed. With respect to the literature cited as references, the axes in Figs. 2, 3, and 4 would have to be relabeled (1–FAR) and (1–HR). Alternately, if one inverts Figs. 2,3, and 4 (thus locating the ROC curves primarily in the upper left quadrant), they become equivalent to the figures found in the signal-detection literature.
  7. J. P. Egan, A. I. Schulman, and G. Z. Greenberg, J. Acoust. Soc. Am. 31, 768 (1959).
  8. R. B. Sleight and G. H. Mowbray, J. Psychol. 31, 121 (1951).
  9. F. A. Veniar, J. Psychol. 26, 461 (1948).
  10. J. A. Swets, Science 134, 168 (1961).

Birdsall, T. G.

W. W. Peterson and T. G. Birdsall, "The Theory of Signal Detectability," Electronic Defense Group, University of Michigan, Tech. Rep. No. 13 (1953).

W. P. Tanner Jr. and T. G. Birdsall, J. Acoust. Soc. Am. 30, 922 (1958).

F. R. Clarke, T. G. Birdsall, and W. P. Tanner Jr., J. Acoust. Soc. Am. 31, 629 (1959).

Clarke, F. R.

F. R. Clarke, T. G. Birdsall, and W. P. Tanner Jr., J. Acoust. Soc. Am. 31, 629 (1959).

Egan, J. P.

J. P. Egan, J. Acoust. Soc. Am. 29, 482 (1957).

J. P. Egan, A. I. Schulman, and G. Z. Greenberg, J. Acoust. Soc. Am. 31, 768 (1959).

Greenberg, G. Z.

J. P. Egan, A. I. Schulman, and G. Z. Greenberg, J. Acoust. Soc. Am. 31, 768 (1959).

Mowbray, G. H.

R. B. Sleight and G. H. Mowbray, J. Psychol. 31, 121 (1951).

Peterson, W. W.

W. W. Peterson and T. G. Birdsall, "The Theory of Signal Detectability," Electronic Defense Group, University of Michigan, Tech. Rep. No. 13 (1953).

Schulman, A. I.

J. P. Egan, A. I. Schulman, and G. Z. Greenberg, J. Acoust. Soc. Am. 31, 768 (1959).

Sleight, R. B.

R. B. Sleight and G. H. Mowbray, J. Psychol. 31, 121 (1951).

Swets, J. A.

W. P. Tanner Jr. and J. A. Swets, Psychol. Rev. 61, 401 (1954).

J. A. Swets, Science 134, 168 (1961).

Tanner Jr., W. P.

W. P. Tanner Jr. and J. A. Swets, Psychol. Rev. 61, 401 (1954).

F. R. Clarke, T. G. Birdsall, and W. P. Tanner Jr., J. Acoust. Soc. Am. 31, 629 (1959).

W. P. Tanner Jr. and T. G. Birdsall, J. Acoust. Soc. Am. 30, 922 (1958).

Veniar, F. A.

F. A. Veniar, J. Psychol. 26, 461 (1948).

Other

W. W. Peterson and T. G. Birdsall, "The Theory of Signal Detectability," Electronic Defense Group, University of Michigan, Tech. Rep. No. 13 (1953).

W. P. Tanner Jr. and T. G. Birdsall, J. Acoust. Soc. Am. 30, 922 (1958).

F. R. Clarke, T. G. Birdsall, and W. P. Tanner Jr., J. Acoust. Soc. Am. 31, 629 (1959).

J. P. Egan, J. Acoust. Soc. Am. 29, 482 (1957).

W. P. Tanner Jr. and J. A. Swets, Psychol. Rev. 61, 401 (1954).

An inspection of Fig. 1 (a) indicates that, as FAR and HR increase, the transformed values decrease. Such a standard-score transformation differs slightly from the transformation commonly employed. With respect to the literature cited as references, the axes in Figs. 2, 3, and 4 would have to be relabeled (1–FAR) and (1–HR). Alternately, if one inverts Figs. 2,3, and 4 (thus locating the ROC curves primarily in the upper left quadrant), they become equivalent to the figures found in the signal-detection literature.

J. P. Egan, A. I. Schulman, and G. Z. Greenberg, J. Acoust. Soc. Am. 31, 768 (1959).

R. B. Sleight and G. H. Mowbray, J. Psychol. 31, 121 (1951).

F. A. Veniar, J. Psychol. 26, 461 (1948).

J. A. Swets, Science 134, 168 (1961).

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