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Converting between measures of slope of the psychometric function - Attention, Perception, & Psychophysics

  • ️Strasburger, Hans
  • ️Thu Nov 01 2001

Abstract

The psychometric function’s slope provides information about the reliability of psychophysical threshold estimates. Furthermore, knowing the slope allows one to compare, across studies, thresholds that were obtained at different performance criterion levels. Unfortunately, the empirical validation of psychometric function slope estimates is hindered by the bewildering variety of slope measures that are in use. The present article provides conversion formulas for the most popular cases, including the logistic, Weibull, Quick, cumulative normal, and hyperbolic tangent functions as analytic representations, in both linear and log coordinates and to different log bases, the practical decilog unit, the empirically based interquartile range measure of slope, and slope in aď representation of performance.

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References

  • Chauhan, B. C., & House, P. H. (1991). Intratest variability in conventional and high-pass resolution perimetry.Ophthalmology,98, 79–83.

    PubMed  Google Scholar 

  • Chauhan, B. C., Tompkins, J. D., LeBlanc, R. P., & McCormick, T. A. (1993). Characteristics of frequency-of-seeing curves in normal subjects, patients with suspected glaucoma, and patients with glaucoma.Investigative Ophthalmology & Visual Science,34, 3534–3540.

    Google Scholar 

  • Elliot, P. B. (1964). Tables ofď. In J. A. Swets (Ed.),Signal detection and recognition by human observers (pp. 651–684). New York: Wiley.

    Google Scholar 

  • Foster, D. H. (1986). Estimating the variance of a critical stimulus level from sensory performance data.Biological Cybernetics,53, 189–194.

    Article  PubMed  Google Scholar 

  • Green, D. M., & Swets, J. A. (1966).Signal detection theory and psychophysics. New York: Wiley. [Reprint edition (1988) by Peninsula Publishing, Los Altos, CA].

    Google Scholar 

  • Harvey, L. O., Jr. (1997). Efficient estimation of sensory thresholds with ML-PEST.Spatial Vision,11, 121–128.

    Article  PubMed  Google Scholar 

  • King-Smith, P. E., & Rose, D. (1997). Principles of an adaptive method for measuring the slope of the psychometric functions.Vision Research,37, 1595–1604.

    Article  PubMed  Google Scholar 

  • Klein, S. A. (2001). Measuring, estimating and understanding the psychometric function: A commentary.Perception & Psychophysics,63, 1421–1455.

    Article  Google Scholar 

  • Kontsevich, L. L., & Tyler, C. W. (1999). Bayesian adaptive estimation of psychometric slope and threshold.Vision Research,39, 2729–2737.

    Article  PubMed  Google Scholar 

  • Leek, M. R., Hanna, T. E., & Marshall, L. (1992). Estimation of psychometric functions from adaptive tracking procedures.Perception & Psychophysics,51, 247–256.

    Google Scholar 

  • Patterson, V. H., Foster, D. H., & Heron, J. R. (1980). Variability of visual threshold in multiple sclerosis: Effect of background luminance on frequency of seeing.Brain,103, 139–147.

    Article  PubMed  Google Scholar 

  • Pelli, D. G. (1985). Uncertainty explains many aspects of visual contrast detection and discrimination.Journal of the Optical Society of America A,2, 1508–1532.

    Article  Google Scholar 

  • Quick, R. F. A. (1974). A vector magnitude model of contrast detection.Kybernetic,16, 65–67.

    Article  Google Scholar 

  • Strasburger, H. (2001). Invariance of the psychometric function for letter recognition across the visual field.Perception & Psychophysics,63, 1356–1376.

    Article  Google Scholar 

  • Treutwein, B., & Strasburger, H. (1999). Fitting the psychometric function.Perception & Psychophysics,61, 87–106.

    Google Scholar 

Download references

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Authors and Affiliations

  1. Ludwig-Maximilians-Universität, München, Germany

    Hans Strasburger

  2. Otto-von-Guericke-Universität, Magdeburg, Germany

    Hans Strasburger

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  1. Hans Strasburger

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Correspondence to Hans Strasburger.

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Strasburger, H. Converting between measures of slope of the psychometric function. Perception & Psychophysics 63, 1348–1355 (2001). https://doi.org/10.3758/BF03194547

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  • Received: 23 September 1998

  • Accepted: 04 March 2001

  • Issue Date: November 2001

  • DOI: https://doi.org/10.3758/BF03194547

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