标题： 关于均值、主效应及$F_1$- 两因子交互作用的 D-最优饱和设计的研究：针对$2^k$- 因子试验 显示英文标题

标题： On The Study Of D-Optimal Saturated Designs For Mean, Main Effects and $F_1$-Two-Factor Interactions For $2^k$-Factorial Experiments

摘要： 本文的目的在于发展构造饱和设计的方法，这些设计包括均值、主要效应以及一个因素与剩余因素子集的两因子交互作用。 如果一个因素与所有剩余因素相互作用，则给出构造D-最优饱和设计的方法。 如果一个因素与剩余因素的适当子集相互作用，则讨论特定情况下的饱和D-最优设计。 显示英文摘要

摘要： The goal of this paper is to develop methods for the construction of saturated designs that include the mean, main effects and the two-factor interactions of one factor with a subset of the remaining factors. If one factor is interacting with all the remaining factors give a method for the construction of a d-optimal saturated design. If one factor is interacting with a proper subset of the remaining factor we discuss the saturated d-optimal design for specific cases.