Open AccessEvaluating 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.