### Banks, WP and Hill, DK (1974)

#### The Apparent Magnitude of Number Scaled by Random Production

Journal of Experimental Psychology 102 (2), 353-376.

**ISSN/ISBN:** 0022-1015
**DOI:** Not available at this time.

**Abstract:** ABSTRACT: A technique for generating a ratio scale for any psychophysical continuum
by having 5s generate subjectively random productions on that continuum
is described and used to scale numerical magnitude, duration, and line
length. The perceived magnitude of numbers grows as an increasingly
decelerated function of their absolute magnitude, but it is approximately
logarithmic from 10 to 1,000. The range of 1-500 is fitted well with a power
- function with an exponent of about f. Several experiments defend the
position that the psychological scale of number is compressive and explore
a number of possible artifacts in the random-production technique. Crossmodality
matches between numbers, line lengths, and durations are predicted
from the random-production scales derived for each of these dimensions.
The predictions give power functions whose exponents are in some agreement
with previous experimental estimates. Random-production scales for handgrip
force, intensity of electric shocks, and subjective area are consistent
with their magnitude-estimation scales, given that number has an exponent
of 2/3

**Bibtex:**

Not available at this time.

**Reference Type:** Journal Article

**Subject Area(s):** Psychology