On the Algebraic Structures in the Construction of Confounding Plans in Mixed Factorial Designs on the Lines of White and Hultquist
本文扩展了White和Hultquist（1965）的方法，将有限域映射到有限交换环以构造混合析因实验的混杂方案，新方法允许因子水平数仅需互质而不必全为素数或素数幂，从而适用于更广泛的混合析因实验。
Abstract White and Hultquist (1965) developed a method of combining finite fields mapped into a finite commutative ring to provide confounding plans for mixed factorial experiments where the numbers of the levels of factors have to be prime or the power of a prime. This paper extends their procedure to cover mixed factorials where the numbers of levels of factors need to be relatively prime, and not necessarily all prime, thus covering a wider range of mixed factorial experiments amenable to the traditional way of analysis of variance suggested by White and Hultquist.