Abstract
For the majority of experiments on sensory response, S. S. Stevens’s power law provides a satisfactory description of the relationship between stimulus and sensory magnitudes. In its original form, it has proved to be inaccurate near the absolute threshold, when the sense organ is not in a neutral state of adaptation, when sensory noise is present, or when the sense organ is adapted to the particular stimulus under observation. This paper introduces a more general sensory law which also describes response under the conditions listed above. Stevens’s power law is a special case of this more general equation. In this general formulation, sensory magnitude is considered to be the product of excitatory and inhibitory processes. Excitation can be described by power functions and inhibition by exponential functions. The general equation is applicable to response at both the electrophysiological and psychophysical levels.
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Atkinson, W. H. Electrophysiological evidence for Stevens’ power law at the medial geniculate of the cat.Brain Research, 1976,109, 175–178.
Atkinson, W. H. Dual processes for loudness (Paper presented at the 93rd meeting of the Acoustical Society of America).Journal of the Acoustical Society of America, 1977,61, Suppl. 1, Bll.
Atkinson, W. H. Click-evoked response at the superior colliculus of the cat.Experimental Neurology, 1978,62, 501–509.
Atkinson, W. H., &Ward, L. M. On the internal consistency of magnitude estimations.Perceptual and Motor Skills, 1972,35, 903–913.
Bartoshuk, L. M., &Cleveland, C. T. Mixtures of substances with similar taste. A test of a psychophysical model of taste mixture interaction.Sensory Processes, 1977,1, 177–186.
Beebe-Center, J. G., Rogers, M. S., Atkinson, W. H., &O’Connell, D, N. Sweetness and saltiness of compound solutions of sucrose and NaCI as a function of concentration of solutes.Journal of Experimental Psychology, 1959,57, 231–235.
Borg, G., Diament, H., Strom, L., &Zotterman, Y. The relation between neural and perceptual intensity: A comparative study of the neural and psychophysical response to taste stimuli.Journal of Physiology, 1967,192, 13–20.
Dallos, P., &Wang, C.-Y. Bioelectric correlates of kanamycin intoxication.Audiology, 1974,13, 277–289.
Diamond, A. L. Foveal simultaneous brightness contrast as a function of inducing- and test-field luminances.Journal of ExperimentaIPsychology, 1953,45, 304–314.
Diamond, A. L. Foveal simultaneous contrast as a function of inducing-field area.Journal of Experimental Psychology, 1955,50, 144–152.
Diamond, A. L. Simultaneous brightness contrast as a function of test-field area.Journal of Experimental Psychology, 1962,64, 336–345.
Fechner, G. T.Elemente der Psychophysik. Leipzig: Breitkopf & Härterl, 1860.
Fry, G. A., &Alpern, M. The effect of a peripheral glare source upon the apparent brightness of an object.Journal of the Optical Society of America, 1953,43, 189–195.
Puortes, M. G. F. Electrical activity of cells in the eye of Limulus.American Journal of Ophthalmology, 1958,46, 210–233.
Gescheider, G. A.Psychophysics: Method and theory. Hillsdale, N.J: Erlbanm, 1976.
Gescneides, G. A., &Wright, J. H. Effects of sensory adaptation on the form of the psychophysical magnitude function for cutaneous vibration.Journal of Experimental Psychology, 1968,77, 308–313.
Hawkins, J. E., &Stevens, S. S. The masking of pure tones and of speech by white noise.Journal of the Acoustical Society of America, 1950,22, 6–13.
Heinemann, E. G. Simultaneous brightness induction as a function of inducing and test field luminances.Journal of Experimental Psychology, 1955,50, 89–96.
Hellman, R. P. Dependence of loudness growth upon skirts of excitation patterns.Journal of the Acoustical Society of America, 1978,63, 1114–1119.
Hellman, R. P., &Zwislocki, J. Loudness function of a 1000 cps tone in the presence of masking noise.Journal of the Acoustical Society of America, 1964,36, 1618–1627.
Horeman, H. W. Relations between brightness and luminance under induction.Vision Research, 1965,5, 331–340.
Leibowitz, H., Mote, F. A., &TnusLow, W. R. Simultaneous contrast as a function of separation between test and inducing fields.Journal of Experimental Psychology, 1953,46, 453–456.
Lochner, J. P. A., &Burger, J. F. Form of loudness function in the presence of masking noise.Journal of the Acoustical Society of America, 1961,33, 1705–1707.
Marks, L. E. Brightness as a function of retinal locus.Perception & Psychophysics, 1966,1,335–341.
Marks, L. E. Brightness as a function of retinal locus in the light adapted eye.Vision Research, 1968,8, 525–535.
Marks, L. E.Sensory processes: The new psychophysics. New York: Academic Press, 1974. (a)
Marks, L. E. On scales of sensation: Prolegomena to any future psychophysics that will be able to come forth as a science.Perception & Psychophysics, 1974,16, 358–376. (b)
Marks, L. E., &Stevens, J. C. The form of the psychophysical function near threshold.Perception & Psychophysics, 1968,4, 315–318.
Moskowitz, H. R. Ratio scales of sugar sweetness.Perception & Psychophysics, 1970,7, 315–320.
Moskowitz, H. R. Intensity scales for pure tastes and for taste mixtures.Perception & Psychophysics, 1971,9, 51–57.
Pfaffmann, C. Gustatory nerve impulses in rat, cat, and rabbit.Journal of Neurophysiology, 1955,18, 429–440.
Plateau, J. A. F. Sur ta mesure des sensations physiques, et sur la loi lie l’intensité de ces sensations à l’intensité de la cause excitante.Bulletins de l’Academie Royale des Sciences, des Lettres, et des Beaux-Arts de Belgique, 1872,33, 376–385.
Pollack, I. The effect of white noise on the loudness of speech of assigned average level.Journal of the Acoustical Society of America, 1949,21, 255–258.
Reeves, P. The response of the average pupil to various intensities of light.Journal of the Optical Society of America, 1920,4, 35–43.
Robinson, D. W., &Dadson, R. S. A redetermination of the equal-loudness relations for pure tones.British Journal of Applied Physics, 1956,7, 166–181.
Rodieck, R. W., &Stone, J. Analysis of receptive fields of cat retinal ganglion cells.Journal of Neurophysiology, 1965,2, 833–849.
Scharf, B. Partial masking.Acustica, 1964,14, 16–23.
Steinberg, J. C., &Gardner, M. B. The dependence of hearing impairment on sound intensity.Journal of the Acoustical Society of America, 1937,9, 11–23.
Stevens, J. C. Brightness function: Binocular vs. monocular stimulation.Perception & Psychophysics, 1967,2, 451–454.
Stevens, J. C., &Stevens, S. S. Brightness function. Effects of adaptation.Journal of the Optical Society of America, 1963,53, 375–385.
Stevens, S. S. On the brightness of lights and the loudness of sounds.Science, 1953,11, 576.
Stevens, S. S. Psychophysics of sensory function. In W. A. Rosenblith (Ed.),Sensory communication. Cambridge, Mass: M.I.T. Press, 1961. (a)
Stevens, S. S. To honor Fechner and repeal his law.Science, 1961,133, 80–86. (b)
Stevens, S. S. Power group transformations under glare, masking and recruitment.Journal of the Acoustical Society of America, 1966,39, 725–735.
Stevens, S. S. Sensory scales of taste intensity.Perception & Psychophysics, 1969,6, 302–308.
Stevens, S. S. Neural events and the psychophysical law.Science, 1970,170, 1043–1050.
Stevens, S. S.Psychophysics: Introduction to its perceptual, neural and social prospects. New York: Wiley, 1975.
Stevens, S. S., &Diamond, A. L. Effect of glare on the brightness function for a small target.Vision Research, 1965,5, 649–659.
Stevens, S. S., &Guirao, M. Loudness functions under inhibition.Perception & Psychophysics, 1967,2, 459–465.
Teas, D. C., Eldredge, D. H., &Davis, H. Cochlear responses to acoustic transients: An interpretation of whole-nerve action potentials.Journal of the Acoustical Society of America, 1962,34, 1438–1459.
Wernmn, F. S. Adaptation in a vertebrate retina: Intracellular recording in Necturus.Journal of Neurophysiology, 1971,34, 228–241.
Yilmaz, H. Perceptual invariance and the psychophysical law.Perception & Psychophysics, 1967,2, 533–538.
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Atkinson, W.H. A general equation for sensory magnitude. Perception & Psychophysics 31, 26–40 (1982). https://doi.org/10.3758/BF03206198
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DOI: https://doi.org/10.3758/BF03206198