We present statistical and theoretical issues that arise from assessin
g person-fit on measures of typical performance. After presenting the
status of past and current research issues, we describe three topics o
f ongoing concern. First, because typical performance measures tend to
be short, and because they have low bandwidth, the detection of perso
n-misfit is often attenuated. Second, there is a need for creative met
hods of identifying the specific sources of response aberrancy, rather
than simply identifying person-misfit. Third, the promise of person-f
it measures as moderators of trait-criterion relations remains undemon
strated. We offer commentary or potential resolutions to these three c
urrent topics. In terms of future research directions, we outline two
lines of advancement that are relevant for both educational and person
ality psychologists. These are (a) the use of person-fit statistics in
the assessment of how item response theory measurement models differ
across manifest groups (e.g., ethnicity, gender), and (b) the applicat
ion of person-fit statistics under ''external'' item response theory m
odel conditions. We summarize the role these advances could play in he
lping educational testers go beyond the standard task of identifying '
'invalid'' protocols by discussing how person-fit assessment may contr
ibute to our understanding of individual and group differences in trai
t structure.