Ukeme Paulinus Akra

Work place: Department of Statistics, Akwa Ibom State University, Ikot Akpaden, Mkpat Enin, Nigeria



Research Interests:


Ukeme Paulinus Akra is a Lecturer at the Department of Statistics, Akwa Ibom State University, Ikot Akpaden, Mkpat Enin. He had his Ph.D in Statistics (Experimental Design), M.Sc (Statistics), B.Sc (Maths/Stats) at the University Calabar, Calabar, Ngieria, and ND (Maths/Stats) at Akwa Ibom State Polytechnic, Ikot Osurua, Ikot Ekpene. He research interest is Design of Experiment, Block Design, Response surface, Optimal design and Multivariate analysis. However, he research interest is not limited to the above - mentioned areas. He mentored many undergraduate and postgraduate students and other researchers in the field. He has published many papers in peer – reviewed Journals and conferences. He is a reviewer in many reputable Journals.


Author Articles
On E–Optimality Design for Quadratic Response Surface Model

By Ukeme Paulinus Akra Edet Effiong Bassey Ofong Edet Ntekim

DOI:, Pub. Date: 8 Jun. 2024

In response surface methodology, optimality criteria is a major tools used to measure the goodness of a design. Optimal experimental designs (or optimum designs) are a class of experimental designs that are optimal with respect to some statistical criterion. E – Optimality criterion is one of the traditional alphabetical criterion used to explore the right choice of a design in both linear and quadratic response surface models. In this paper, we investigated E – optimal experimental designs for a quadratic response surface model with two factor predictors. We developed an algorithm and a flowchart in line with a program to obtain E – optimal design and compare the result with an existing method. Two designs were formulated each with six points to illustrate the usefulness of the new method. The result revealed that the new technique outperformed better than the existing method. The significance of the later to the former technique is that, it minimizes error due to approximation and also make the computation of the aforementioned optimality easier. We, therefore recommended this method to be used at all length of points when E – optimality is to be evaluated.

[...] Read more.
Other Articles