Assessing the percent rotatability of the central composite designs

Emmanuel Uchenna Ohaegbulem and Polycarp E. Chigbu

Communications in Statistics - Theory and Methods, 2022, vol. 51, issue 21, 7665-7682

Abstract: A measure of quantifying the percent rotatability, specifically for the Central Composite Designs (CCDs), is proposed. The proposed measure can also assess the percent rotatability of both deformed and modified CCDs. On measuring the percent rotatability of two different designs, the proposed measure yielded 96.26% and 97.65%, respectively, which are higher than those obtained by the measures of both Khuri which gave 80.65% and 81.69%, respectively, and Draper and Pukelsheim which gave 94.96% and 97.10%, respectively. Extended to the hybrid designs, the proposed measure yielded percent rotatability values that are not quite different from those obtained from the existing measures. The procedure of the proposed measure does not involve the viewing of contour diagrams, and has simplicity to its advantage.

Date: 2022
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DOI: 10.1080/03610926.2021.1876885

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