带有定性因素均匀设计的均匀性度量准则

Measures of Uniformity for Uniform Designs with Qualitative Factors

我们在文〔3〕中曾讨论了如何用均匀设计来安排含有定性因素的试验。在文〔1〕中所使用的均匀设计表是针对试验中全为连续因素设计的。显然 ,当试验中含有定性因素时 ,均匀性的度量和相应均匀设计表的设计都会有所不同。这是一个值得研究的课题。本文主要探讨均匀性的度量 ,并用文中提出的准则 。

When an experiment involves some qualitative factors,some dummy variables have to be introduced in the model.How to measure the uniformity for the experimental points in this experiment is and open problem.In this paper we propose three measures of uniformity for such case.Numerical values of thee new measures of a number of uniform design tables are given.