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Tables of d′ for variable-standard discrimination paradigms


Signal detection theory (SDT) allows a bias-free measure of sensitivity, d′, to be simply estimated from discrimination data when certain conditions are met. The computation is not straightforward, however, in several popular discrimination designs, such as two- and four-interval same-different designs and the ABX design. The present tables, derived from the SDT models of Macmillan, Kaplan, and Creelman (1977), make possible the estimation of d’ from these complex discrimination designs.


  • Creelman, C. D., &Macmillan, N. A. Auditory phase and frequency discrimination: A comparison of nine procedures.Journal of Experimental Psychology Human Perception and Performance, in press.

  • Elliott, P B. Tables of d’ In J. A. Swets (Ed.),Signal detection and recognition by human observers. New York: Wiley, 1964.

    Google Scholar 

  • Green, D. M., &Swets, J. A.Signal detection theory and psychophysics. New York: Wiley, 1966.

    Google Scholar 

  • Macmillan, N A., Kaplan, H L., &Creelman, C. D. The psychophysics of categorical perception.Psychological Review, 1977,84, 452–471.

    Article  PubMed  Google Scholar 

  • Pastore, R. E., &Scheirer, C. J. Signal detection theory: Considerations for general application.Psychological Bulletin, 1974,81, 945–958.

    Article  Google Scholar 

  • Sorkin, R. D. Extension of the theory of signal detectability to matching procedures in psychoacoustics.Journal of the Acoustical Society of America, 1962,43, 1745–1751.

    Article  Google Scholar 

  • Tanner, W. P., &Swets, J. A. A decision-making theory of visual detection.Psychological Review, 1954,61, 401–409.

    Article  PubMed  Google Scholar 

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This research was supported by grants from NIMH and the PSC-BHE Research Award Program of the City University of New York to the second author, and by grants from the Canadian NRC and Canada Council to the third author.

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Kaplan, H.L., Macmillan, N.A. & Creelman, C.D. Tables of d′ for variable-standard discrimination paradigms. Behavior Research Methods & Instrumentation 10, 796–813 (1978).

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  • False Alarm Rate
  • Acoustical Society ofAmerica
  • Unit Slope
  • Brooklyn College
  • Signal Detection Theory Model