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LR TEST FOR RANDOM-EFFECTS COVARIANCE STRUCTURE

IN A PARALLEL PROFILE MODEL

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TAKAHISA YOKOYAMA

*Department of Mathematics, Kumamoto University,*

2-39-1 Kurokami, Kumamoto 860, Japan
(Received August 13, 1993; revised January 11, 1995)

**Abstract.**
We consider a parallel profile model which is
useful in analyzing parallel growth curves of several groups. The
likelihood ratio criterion for a hypothesis concerning the adequacy
of a random-effects covariance structure is obtained under the
parallel profile model. The likelihood ratio criterion for the
hypothesis in the general one-way MANOVA model is also obtained.
Asymptotic null distributions of the criteria are derived when the
sample size is large. We give a numerical example of these
asymptotic results.

*Key words and phrases*:
Parallel profile model,
random-effects covariance
structure, asymptotic null distribution, likelihood ratio criterion.

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