A New Nested Space-Filling Designs on Experiments With Different Ranges of Factors

Abstract

Abstract. Experiments with different levels of accuracy or fidelity are very common in statistics, applied mathematics and engineering. Nested space-filling designs are useful approach to deal with those questions. But in some special situations, e.g., the captive flight tests and missile tests in radar homing precision experiments, the rangers of factors are different in some accuracy experiments and sometimes they have overlapping portions. The existing methods deal almost exclusively with experiments with same ranges of factors. In this paper, we propose a new construction of nested space-filling designs named NDF(Nested Designs on Factor with different ranges ) to solve these problems.The proposed construction are useful in the experiments with different ranges of factors and achieves uniformity in low dimensions.