On consistency, natural restrictions and estimability under classical and extended growth curve models

For the general growth curve model { Y , X 1 Θ X 2 , σ 2 ( Σ 2 ⊗ Σ 1 ) } with X 1 , X 2 , Σ 1 and Σ 2 of arbitrary ranks, we study the following three problems:(I) ary and sufficient conditions for the model to be consistent. l restrictions to the parameter matrix Θ . edness of linear estimators and estimability of parameter matrices. xtensions of this work to the extended growth curve model { Y , ∑ i = 1 t X 1 i Θ i X 2 i , σ 2 ( Σ 2 ⊗ Σ 1 ) } are also given.