Simultaneous confidence intervals is as extended growth curve model

This paper deals with estimation problems under an extended growth curve model with two hierarchical within-individuals design matrices. The model includes the one whose mean structure consists of polynomial growth curves with two different degrees. First we propose certain simple estimators of the mean and covariance parameters which are closely related to the MLE's. Some basic properties of the estimators are given. Simultaneous confidence intervals are constructed, based on the estimators, for each and both of two growth curves. We give asymptotic approximations for the corresponding critical points. A numerical example is also given.