Factor Changes and Linear Trends in Eight-Run Two-Level Factorial Designs
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Eight-run two level factorial and fractional factorial designs are examined from two points of view: (1) the number of levels which must be changed in performing the design, (2) the effect of a first order time trend on the main effects. It is found that only a few run orders are desirable from these viewpoints and thus randomization of the runs is likely, in general, to lead to an unfavorable sequence.
[1] F. Wilcoxon,et al. Factorial 2 p–q Plans Robust Against Linear and Quadratic Trends , 1966 .