Staggered-level designs for response surface modeling
Faculty of Applied Economics
Journal of quality technology. - Milwaukee, Wis.
, p. 156-175
University of Antwerp
In industrial experiments, there are often restrictions in randomization caused by equipment and resource constraints, as well as budget and time constraints. Next to the split-plot and the split-split-plot design, the staggered-level design is an interesting design option for experiments involving two hard-to-change factors. The staggered-level design allows both hard-to-change factors to be reset at different points in time, resulting in a typical staggering pattern of factor-level resettings. It has been shown that, for two-level designs, this staggering pattern leads to statistical benefits in comparison to the split-plot and the split-split-plot design. In this article, the authors investigate whether the benefits of the staggered-level design carryover to situations where the objective is to optimize a response and where a second-order response surface model is in place. To this end, the authors study several examples of D- and I-optimal staggered-level response surface designs.