Methodology of Experimental Design: Synthesis and Development of an Application in Python

Abstract

The methodology of experimental research is a relatively recent discipline in mathematics, forming part of statistics. It is widely used by both researchers and industrialists to plan their experiments, model the results, and perform their analysis. This work has two main objectives: first, to provide a synthesis of the methodology of experimental design, where two categories of classical experimental designs are described, and second, to use Python to elaborate an application to meet the needs of each user and experimenter. The utility of having one’s own software is evident. The planning of experiments, modeling, and analysis of results will be considerably facilitated. Additionally, this software can be further improved in the future by adding other options. Key Words : Experimental designs, multiple linear regression, screening experimental designs, response surface designs, optimality criteria, full factorial designs.