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Some practical advice on polynomial regression analysis from blocked response surface designs. (English) Zbl 1061.62550
Summary: It is often necessary to run response surface designs in blocks. In this paper the analysis of data from such experiments, using polynomial regression models, is discussed. The definition and estimation of pure errors in blocked designs are considered. It is recommended that pure errors are estimated by assuming additive block and treatment effects, as this is more consistent with designs without blocking. The recovery of inter-block information using REML analysis is discussed, although it is shown that it has very little impact if the design is nearly orthogonally blocked. Finally prediction from blocked designs is considered and it is shown that prediction of many quantities of interest is much simpler than prediction of the response itself.

MSC:
62K20 Response surface designs
62K10 Statistical block designs
Software:
GenStat
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References:
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