Magnitude estimations involving spatial characteristics, such as dista
nce, typically show a compressive function when estimates are made fro
m memory. In particular, as the magnitude of a property grows larger a
nd larger, estimates become more and more inaccurate, with increasing
underestimates of the actual magnitude. Previous theories have attempt
ed to explain this difference by supposing that magnitude estimation w
as accomplished through a reperceptual process, in which the errors of
perception are magnified, or a transformation process, in which the m
emory trace undergoes a consistent alteration toward a more schematic
form. The present experiments present evidence in support of an uncert
ainty hypothesis. When subjects are uncertain of the actual value of a
distance, they are forced to guess on the basis of the mean distance
they encountered, because they are unable to retrieve the information
accurately. When they can retrieve the information, they are more cert
ain and their estimates are more accurate. This hypothesis was also ex
tended to integrative conditions in which the subjects were presented
with the stimulus display in a piecemeal fashion. In these cases, dist
ance estimates were derived by combining spatial representations. This
method of presentation caused distance estimates to become less accur
ate.