Blocking with Rotatable Designs

Abstract

The article considers the effect of blocking on the rotatability property of a response surface design. It is shown that unless the blocks are chosen in a particular manner, a rotatable design may become nonrotatable under blocking. If, however, the rotatable design also blocks orthogonally, then rotatability is preserved. More general conditions for maintaining rotatability with blocking are given. We call such a property block rotatabtlity,

AMS Subject Classification: Primary 62Kl0; Secondary 62JOS.