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SIMULTANEOUS CONFIDENCE REGIONS IN AN EXTENDED GROWTH CURVE MODEL WITH k HIERARCHICAL WITHIN-INDIVIDUALS DESIGN MATRICES
Abstract:
ABSTRACT

We consider an extended growth curve model with k hierarchical within-individuals design matrices. The model includes the one whose mean structure consists of polynomial growth curves with k different degrees. First we propose certain simple estimators of the mean and covariance parameters which are closely related to the MLE's. Using these estimators we construct simultaneous confidence regions for each or all of k growth curves which is an extension of Fujikoshi.[2] Fujikoshi, Y. 1999. Simultaneous Confidence Intervals in an Extended Growth Curves. Commun. Statist.–-Theor. Meth., 28: 671–682. [Taylor & Francis Online], [Web of Science ®] , [Google Scholar] A numerical example with k = 3 is also given.
Keywords:Hierarchical within-individuals design matrix  Estimation  Extended growth curve model  Simultaneous confidence regions
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