Theory and application of uniform designs

Abstract

With the development of science and technology, the numbers of factors in experiments become larger and larger, and the relationships among factors become more and more complex, and then it is very important to organize the experiments scientifically. Orthogonal designs, uniform designs and optimal designs are the popular types of experimental designs. The main idea of uniform designs is to scatter the design points on the experimental domain uniformly. Uniform designs have many advantages such as choosing the numbers of runs flexibly, robustness for models, and suitability for different types of experimental domains. This paper reviews the theoretical development, current progress and application of uniform designs.