Evaluation of Second-Order Response Designs with Errors in Factor Levels in the Cuboidal Region
نویسندگان
1 Department of Statistics, University of Nigeria, Nsukka, Enugu State, Nigeria.
2 Department of Statistics, University of Nigeria, Nsukka, Enugu State, Nigeria.
3 Department of Statistics, University of Nigeria, Nsukka, Enugu State, Nigeria.
4 Department of Statistics, University of Nigeria, Nsukka, Enugu State, Nigeria.
doi
10.22034/jirss.2025.2049136.1090چکیده
Errors in factor levels often occur in response surface modeling. A design in which these errors have minimal effect is the desired design. This study evaluates the prediction capability of second-order Orthogonal Array Composite Design (OACD) and Orthogonal Uniform Composite Design (OUCD) with and without errors in factor levels for 3 ≤ k ≤ 5 factors using 2, 3, and 5 center points in the cuboidal region. Design optimality criteria (in terms of G- and IV-optimality values) and quantile dispersion plots are used to examine the prediction capability of these designs. The results show that OUCD is the preferred design in terms of G-optimality, while IV-optimality and quantile plots indicate that OACD is the preferred design in both the presence and absence of errors in factor levels.
