In this paper we consider the problem of selecting the covariables wit
hin individuals in the growth curve model. We propose two modification
s of AIC and MIC (Cp-static), which have improvements on the bias prop
erties. Asymptotic distributions of variable slection criteria are der
ived under a general situation where a polynomial growth curve of degr
ee j(0) is approximately suitable. A simulation study is also given to
gain some understanding on the small sample properties of these varia
ble selection criteria. (C) 1997 Academic Press.