Evaluating Percentage Rotatability For The Small Box – Behnken Design | Zendy

Lawrence Chizoba Kiwu | Zendy; Desmond Chekwube Bartholomew | Zendy; Fidelia Chinenye Kiwu-Lawrence | Zendy; Chukwudi Paul Obite | Zendy; Okafor Ikechukwu Boniface | Zendy

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Evaluating Percentage Rotatability For The Small Box – Behnken Design

Author(s) -

Lawrence Chizoba Kiwu,

Desmond Chekwube Bartholomew,

Fidelia Chinenye Kiwu-Lawrence,

Chukwudi Paul Obite,

Okafor Ikechukwu Boniface

Publication year - 2021

Publication title -

journal of mathematics and statistics studies

Language(s) - English

Resource type - Journals

ISSN - 2709-4200

DOI - 10.32996/jmss.2021.2.2.3

Subject(s) - box–behnken design , mathematics , response surface methodology , statistics

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.

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