In previous studies (e.g., Kerst and Howard, 1978) it has been shown t
hat remembered sizes were related to actual sizes by a more compressiv
e power function than they were to perceived sizes. These findings hav
e been accounted for by the re-perceptual hypothesis. Two experiments
were conducted to test this hypothesis for the size estimation with a
geometric stimulus. Thirty undergraduate students participated in each
experiment. The effects of the number of dimensions of perceived geom
etric objects (Experiment 1) and those of stimulus range (Experiment 2
) on remembering: magnitude were investigated. The major findings from
Experiments 1 and 2 were as follows; (1) the power exponents were sig
nificantly smaller in the memory conditions than in the perceptual con
ditions, and (2) the results with 1 dimensional objects (lines, Experi
ment 1) and with 2 dimensional objects in the larger stimulus range (s
quares, Experiment 2) were consistent with the re-perceptual hypothesi
s. Those results were discussed in the relation to the stimulus comple
xity.