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Research Article

Evaluating Percentage Rotatability For The Small Box – Behnken Design

Authors

  • Lawrence Chizoba Kiwu Department of Statistics, Federal University of Technology, Owerri, Nigeria
  • Desmond Chekwube Bartholomew Department of Statistics, Federal University of Technology, Owerri, Nigeria
  • Fidelia Chinenye Kiwu-Lawrence Department of Statistics, Abia State University Uturu, Abia State, Nigeria
  • Chukwudi Paul Obite Federal University of Technology Owerri, Nigeria
  • Okafor Ikechukwu Boniface Department of Statistics, Convenant Polytechnic Aba, Nigeria

Abstract

Rotatability property for the Small Box-Behnken design is discussed in this paper. This paper aimed at applying a measure of obtaining percentage rotatability on the Small Box-Behnken designs to determine if the Small Box-behnken designs are rotatable or not and investigated the extent of rotatability in terms of percentage. The factors, q, considered range from 3 to 11. The results showed that for factors q, the Small Box-Behnken design is rotatable for q = 3 factors, near rotatable for q = 4, 7 factors and not rotatable for q = 5, 6, 8, 9, 10 and 11 factors.

Article information

Journal

Journal of Mathematics and Statistics Studies

Volume (Issue)

2 (2)

Pages

16-24

Published

2021-08-13

How to Cite

Kiwu, L. C., Bartholomew, D. C. ., Kiwu-Lawrence, F. C. . ., Obite, C. P., & Okafor Ikechukwu Boniface. (2021). Evaluating Percentage Rotatability For The Small Box – Behnken Design. Journal of Mathematics and Statistics Studies, 2(2), 16–24. https://doi.org/10.32996/jmss.2021.2.2.3

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Keywords:

Response Surface Methodology, Rotatability,Small Box-Behnken Design and Percentage