Analysis of cross-over designs via growth curve models

Models for repeated measures cross-over designs are defined in terms of growth curve models. In the paper two specific cross-over designs, called the AB:BA and ABAB:BABA design, are studied. The maximum-likelihood (ML) estimators for the parameters are derived by utilizing the theory for growth curve models. A model with a structured dispersion matrix is defined for the AB:BA design, and a specific linear transformation is used to derive estimators in a convenient way. To illustrate numerically, ML estimates are calculated for an ABAB:BABA study.