# Stevens Power Law

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## Stevens Power Law

Stevens’ power law, also known as Stevens’ law or the Stevens effect, is a psychological principle that describes the relationship between the intensity of a stimulus and the perceived magnitude of that stimulus. The law is expressed as a mathematical equation:

I = kS^n

where I is the perceived intensity or magnitude of the stimulus, S is the physical intensity or magnitude of the stimulus, k is a constant, and n is the exponent.

According to Stevens’ power law, the perceived intensity of a stimulus increases as a power function of the physical intensity of the stimulus. This means that, as the physical intensity of the stimulus increases, the perceived intensity increases at a faster rate. For example, if the physical intensity of a stimulus is doubled, the perceived intensity may increase by a factor of four (if n is 2) or by a factor of eight (if n is 3).

Stevens’ power law has been applied to a wide range of stimuli, including sensory stimuli such as sound, light, and pressure, as well as cognitive stimuli such as memory and attention. It has been found to hold true across a wide range of intensity levels and across different species, including humans, animals, and insects.

Stevens’ power law is an important principle in the field of psychology, as it helps to explain how the brain processes and interprets stimuli of different intensities. It has also been used to develop models of perception and decision-making, and it has been applied to a wide range of practical problems, such as the design of measurement scales and the development of new technologies.