某些特殊非正交设计的最优性

Optimality for some special NON-Orthogonal factorial designs

本文利用广义逆矩阵为工具,讨论了在仅考虑主效应时,某些特殊的非正交设计具有泛最优性和广最优性,并作为特例推出文献〔1〕、〔2〕的部分结论.

In this paper, by means of the generalized inverse matrix of the information matrix under the model that the main effects are additive,it is shown that some special non-orthogonal factorial designs are universal optimality and broad optimality (B-optimality).