Abstract
In contrast with the usual sequential nature of response surface methodology (RSM), recent literature has proposed both screening and response surface exploration using a single three-level design; this approach is known as “one-step RSM”. We discuss and illustrate two shortcomings of the current one-step RSM designs and analysis. Subsequently, we propose a class of three-level response surface designs, constructed by taking subsets of Box–Behnken designs, that will address these shortcomings and aid the user in being appropriately advised as to factor importance. We illustrate the designs and analysis with simulated and real data.
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