带约束条件和多余参数的线性模型的比较

COMPARISON OF LINEAR MODELS WITH CONSTRAINED CONDITIONS AND REMAINDER PARAMETERS

对于带约束条件和多余参数的两个线性模型ｄ１＝Ｌ（Ｘ１β＋Ｚ１γ，Ｖ１，Ｌ１）和ｄ２＝Ｌ（Ｘ２β＋Ｚ２δ，Ｖ２，Ｌ２），其中Ｖ１和Ｖ２是已知的对称的正定矩阵，γ和δ是多余参数，Ｌ１和Ｌ２是已知的约束矩阵，文中给出了一种新的比较准则，并得到了几个充要条件．

For two linear models with constrained conditions and remainder parameters d 1=L (X 1β+Z 1γ,V 1,L 1) and d 2=L (X 2β+Z 2δ,V 2,L 2),where V 1 and V 2 are known symmetric positive difinite matrixs,γ and δ are remainder parameters,L 1 and L 2 are known constrained matrixs,a new criterion of comparison is given and several necessary and sufficient conditions are obtained.