On the best linear unbiased estimator and the linear sufficiency of a general growth curve model |
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Authors: | Guang-Jing Song |
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Institution: | School of Mathematics and Information Sciences, Weifang University, Weifang 261061, PR China |
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Abstract: | Growth curve models are used to analyze repeated measures data (longitudinal data), which are functions of time. In this paper, some necessary and sufficient conditions for linear function B1YB2 to be the best linear unbiased estimator (BLUE) of estimable functions X1ΘX2 (or K1ΘK2) under the general growth curve model were established. In addition, the representations of BLUE(K1ΘK2) (or BLUE(X1ΘX2)) were derived when the conditions are satisfied. Two special notions of linear sufficiency with respect to the general growth curve model are given in the end. The findings of this paper enrich some known results in the literature. |
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Keywords: | Growth curve models Best linear unbiased estimator Linear sufficiency Parameter matrix |
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