How do stimulus size and item number relate to the magnitude and direc
tion of error on center estimation and line cancellation tests? How mi
ght this relationship inform theories concerning spatial neglect? Thes
e questions were addressed by testing twenty patients with right hemis
phere lesions, eleven with left hemisphere lesions and eleven normal c
ontrol subjects on multiple versions of center estimation and line can
cellation tests. Patients who made large errors on these tests also de
monstrated an optimal or pivotal stimulus value, i.e., a particular si
ze center estimation test or number of lines on cancellation that eith
er minimized error magnitude relative to other size stimuli (optimal)
or marked the boundary between normal and abnormal performance (pivota
l). Patients with right hemisphere lesions made increasingly greater e
rrors on the center estimation test as stimuli were both larger and sm
aller than the optimal value, whereas those with left hemisphere lesio
ns made greater errors as stimuli were smaller than a pivotal value. I
n normal subjects, the direction of errors on center estimation stimul
i shifted from the right of true center to the left as stimuli decreas
ed in size (i.e., the crossover effect). Right hemisphere lesions exag
gerated this effect, whereas left hemisphere lesions diminished and po
ssibly reversed the direction of crossover. Error direction did not ch
ange as a function of stimulus value on cancellation tests. The demons
tration of optimal and pivotal stimulus values indicates that performa
nces on center estimation and cancellation tests in neglect are only r
elative to the stimuli used. In light of other studies, our findings i
ndicate that patients with spatial neglect grossly overestimate the si
ze of small stimuli and underestimate the size of large stimuli, that
crossover represents an ''apparent'' shift in error direction that act
ually results from normally occurring errors in size perception, and t
hat the left hemisphere is specialized for one aspect of size estimati
on, whereas the right performs dual roles, (C) 1998 academic Press.