Empiriceme · Evidence · Empirical Regularity

Stevens's Power Law

Perceived intensity grows as a power function of stimulus intensity, with an exponent specific to each sense.

Stevens's 1957 refinement of Weber-Fechner. The exponent varies: brightness compresses, and electric shock expands, which is why pain scales behave so differently from loudness scales.

In practice

  • Doubling a bulb's wattage does not look twice as bright; doubling the current in a shock feels far more than twice as bad.
  • A pain scale behaves nothing like a loudness scale, which is why "rate it out of ten" means different things in different domains.
Standing
Refines the earlier Weber–Fechner logarithmic account.
Further reading
Wikipedia
Subject
Psychology & Behavior
Essay
A century and a half of measuring the mind

Search every entry·Every entry, A to Z