Psychological research on eyewitness testimony has made important cont
ributions to the measurement of lineup fairness. The mock witness task
, and measures of functional size, effective size, and diagnosticity h
ave proved useful both in application to real-world problems and to on
going research aimed at the optimization of criminal investigation tec
hniques. However, these measures are typically used in the absence of
any inferential statistical considerations. This is unfortunate, since
the mock witness task relies on an implicit probability model. An att
empt is made in this paper to identify a suitable formal probability m
odel for the mock witness task and suggestions are made with respect t
o how to reason inferentially about many of the lineup measures develo
ped in psycholegal research. It is important to reason inferentially a
bout these measures, and a failure to do so may mislead those to whom
measures of lineup fairness are presented.