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抗趋势的混合水平因子试验运行顺序的构造AI 解读

In this paper we consider experimental situations where treatments from a mixed level factorial design are to be applied to experimental units over space or time and where there may be an unknown trend effect which can be approximated by some polynomial function of the order in which the observations are obtained. A method of constructing run orders of treatments for such situations is given which generally yields least squares estimators for main effects that have a higher…

二水平因子设计中抗趋势运行顺序的构造AI 解读

In experimental situations where a factorial design with all factors occurring at two levels is to be run in a time sequence, the usual advice given to the experimenter is that the order of runs should be randomized before the experiment is performed; however, randomization may lead to an undesirable run order. For example, in a factory experiment, there may be a certain learning process that occurs over time as a result of making level changes in the factors being studied,…