Minimum projection uniformity criterion and its application

作者：Zhang SL; Qin H^*

来源：Statistics & Probability Letters, 2006, 76(6): 634-640.

DOI：10.1016/j.spl.2005.09.019

• E(s(2)) criterion
• generalized minimum aberration
• minimum projection uniformity
• nearest balance criterion
• V-criterion

Based on a so-called uniformity pattern, Fang and Qin [2005. Uniformity pattern and related criteria for two-level factorials. Sci. China Ser. A 48, 1-11] proposed the minimum projection uniformity criterion to assess and compare two-level factorials. In present paper, we study applications of minimum projection Uniformity criterion in aberration designs. orthogonal arrays and supersaturated designs. Relationship among minimum projection uniformity, generalized minimum aberration [Ma, C. X., Fang K. T., 2001. A note oil generalized aberration factorial designs. Metrika 53, 85-93; Xu, H., Wu, C. F. J., 2001. Generalized minimum aberration for asymmetrical fractional factorial designs. Ann. Statist. 29, 549-560], V-criterion [Tang, B., 2001. Theory of J-characteristics for fractional factorial designs and projection justification of mininium G(2)-aberration. Biometrika 88, 401-407], nearest balance criterion [Fang, K. T., Lu, X., Winker, P., 2003. Lower bounds for centered and wrap-around L-2-discrepancies and construction of uniform designs by threshold accepting. J. complexity 19, 692-711] and E(s(2)) criterion [Booth, K. H. V., Cox, D. R., 1962. Some systematic supersaturated designs. Technometrics 4, 489-495] is made explicit. Noting that minimum projection uniformity criterion is related to uniform designs, our results Should raise the hope of improving the connection between uniform design theory and factorial design theory.

• 出版日期2006-3-15
• 单位华中师范大学; 北京交通大学