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Estimation in a random effects model with parallel polynomial growth curves. (English) Zbl 0989.62034

Summary: We consider an extended growth curve model with two hierarchical within-individuals design matrices, which is useful in analyzing mean profiles of several groups with parallel polynomial growth curves. The covariance structure based on a random effects model is assumed. The maximum likelihood estimators (MLE’s) are obtained under the random effects covariance structure. The efficiency of the MLE is discussed. A numerical example is also given.

MSC:

62H12 Estimation in multivariate analysis
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