Biased tests and non-exact F distributions are deficiencies in the classica
l ANOVA approach to repeated measures in the case of non-spherical variance
covariance matrices or unbalanced data. Individual differences in developm
ental patterns have also been typically ignored by being shoved into the er
ror term. This paper discusses two case studies that illustrate analysis op
portunities in the solution of these problems by using maximum likelihood m
ethods. Evidence suggests that the latter allow for more precise inference
by using more accurate models of the covariance matrix. They also provide e
stimators with known and favorable asymptotic properties in the case of unb
alanced data. Individual differences in growth can be quantified by inclusi
on of new covariance parameters, which provide some answers to Barlow and H
ensen critical remarks on classical experimental psychology. Some potential
problems in the use of these methods and characteristics of available soft
ware are finally discussed.