期刊名称：Sankhya. Series A, mathematical statistics and probability
印刷版ISSN：0976-836X
电子版ISSN：0976-8378
出版年度：2004
卷号：66
期号：02
出版社：Indian Statistical Institute
摘要：Using the algebraic structure of the triangular multidimensional partially balanced association scheme and a matrix equation, we give a balanced fractional $ 2^{m}$ factorial design derived from a simple array such that the general mean and all the main effects are estimable, where the four-factor and higher-order interactions are assumed to be negligible. We also give optimal designs with respect to the generalized A-optimality criterion for $ 6\le m\le8$ when the number of assemblies is less than the number of non-negligible factorial effects.
