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Nested growth curve models. (English) Zbl 1192.62156

Summary: We consider the nested growth curve models introduced by E.M. Carter and C.G. Khatri [An introduction to multivariate statistics. (1979; Zbl 0421.62034)]. We show that many testing problems in multivariate analysis of variance and growth curve models can be written as nested models. We provide maximum likelihood estimates of the parameters, likelihood ratio tests and their null distributions for various hypotheses in these nested models.

MSC:

62H15 Hypothesis testing in multivariate analysis
62H12 Estimation in multivariate analysis
62H10 Multivariate distribution of statistics

Citations:

Zbl 0421.62034
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