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Evaluating Percentage Rotatability For The Small Box – Behnken Design

Author

Listed:
  • 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.

Suggested Citation

  • Lawrence Chizoba Kiwu & Desmond Chekwube Bartholomew & Fidelia Chinenye Kiwu-Lawrence & Chukwudi Paul Obite & Okafor Ikechukwu Boniface, 2021. "Evaluating Percentage Rotatability For The Small Box – Behnken Design," Journal of Mathematics and Statistics Studies, Al-Kindi Center for Research and Development., vol. 2(2), pages 16-24, June.
    • Handle: RePEc:alk:jmss00:v:2:y:2021:i:2:id:1984
    DOI: 10.32996/jmss.2021.2.2.3
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