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A Measure of Rotatability for the Central Composite Designs

E. U. Ohaegbulem, P. E. Chigbu

Abstract



An approach to measuring design rotatability and a measure that quantifies the percentage of rotatability in the central composite designs are introduced. This new approach is quite different from the ones provided by previous authors which assessed design rotatability by the viewing of tediously obtained contour diagrams. This new approach has no known practical limitations, and the measure has computational simplicity to its advantage.

Keywords


Central composite designs, design rotatability, perfectly rotatable designs, near rotatable designs, second-order response-surface designs.

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