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Stevens' power law

Stevens' power law relates the intensity of a stimulus to its perceived strength. It supersedes the Weber-Fechner Law, since it can describe a wider range of sensations. The theory is named after its inventor, S. Smith Stevens (19061973).

The formula is:

S = kIa

where S is the amount of sensation, k is a constant, I is the stimulus intensity, and a is an exponent. a is dependent on the type of stimulation.

Stevens measured the following exponents:

Continuum Exponent Stimulus condition
Loudness 0.67 Sound pressure of 3000-Hz tone
Vibration 0.95 Amplitude of 60 Hz on finger
Vibration 0.6 Amplitude of 250 Hz on finger
Brightness 0.33 5° target in dark
Brightness 0.5 Point source
Brightness 5 Brief flash
Brightness 1 Point source briefly flashed
Lightness 1.2 Reflectance of gray papers
Visual length 1 Projected line
Visual area 0.7 Projected square
Redness (saturation) 1.7 Red-gray mixture
Taste 1.3 Sucrose
Taste 1.4 Salt
Taste 0.8 Saccharine
Smell 0.6 Heptane
Cold 1 Metal contact on arm
Warmth 1.6 Metal contact on arm
Warmth 1.3 Irradiation of skin, small area
Warmth 0.7 Irradiation of skin, large area
Discomfort, cold 1.7 Whole body irradiation
Discomfort, warm 0.7 Whole body irradiaton
Thermal pain 1 Radiant heat on skin
Tactual roughness 1.5 Rubbing emery cloths
Tactual hardness 0.8 Squeezing rubber
Finger span 1.3 Thickness of blocks
Pressure on palm 1.1 Static force on skin
Muscle force 1.7 Static contractions
Heaviness 1.45 Lifed weights
Viscosity 0.42 Stirring silicone fluids
Electric shock 3.5 Current through fingers
Vocal effort 1.1 Vocal sound pressure
Angular acceleration 1.4 5-sec rotation
Duration 1.1 White noise stimuli

See also

Last updated: 05-21-2005 18:45:19
12-19-2008 14:25:18
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