Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
10525224 | Journal of Statistical Planning and Inference | 2005 | 15 Pages |
Abstract
The uniformity can be utilized as a measure for comparing factorial designs. Fang and Mukerjee (Biometrika 87 (2000) 193-198) and Fang et al. (in: K.T. Fang, F.J. Hickernell, H. Niederreiter (Eds.), Monte Carlo and Quasi-Monte Carlo Methods 2000, Springer, Berlin, 2002) found links among uniformity in terms of some non-uniformity measures, orthogonality and aberration for regular symmetric factorials. In this paper we extend their results to asymmetric factorials by considering a so-called wrap-around L2-discrepancy to evaluate the uniformity of factorials. Furthermore, a lower bound of wrap-around L2-discrepancy is obtained for asymmetric factorials and two new ways of construction of factorial designs with mixed levels are proposed.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Kashinath Chatterjee, Kai-Tai Fang, Hong Qin,