| Uniformity pattern and related criteria for two-level factorials |
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| 作者姓名： | FANG Kaitai~ QIN Hong~ |
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| 作者单位： | 2，1 |
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| 基金项目： | 香港研究资助局资助项目，国家自然科学基金，教育部留学回国人员科研启动基金，the NSF of Hbei Province for the second author |
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| 摘 要： | In this paper,the study of projection properties of two-level factorials in view ofgeometry is reported.The concept of uniformity pattern is defined.Based on this new con-cept,criteria of uniformity resolution and minimum projection uniformity are proposed forcomparing two-level factorials.Relationship between minimum projection uniformity andother criteria such as minimum aberration,generalized minimum aberration and orthogo-nality is made explict.This close relationship raises the hope of improving the connectionbetween uniform design theory and factorial design theory.Our results provide a justifi-cation of orthogonality,minimum aberration,and generalized minimum aberration from anatural geometrical interpretation.
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| 收稿时间： | 13 March 2006 |
Uniformity pattern and related criteria for two-level factorials |
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| FANG Kaitai,QIN Hong.Uniformity pattern and related criteria for two-level factorials[J].Science in China(Mathematics),2005,48(1):1-11. |
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| Authors: | Email author" target="_blank">Kaitai?FangEmail author Email author" target="_blank">Hong?QinEmail author |
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| Institution: | 1. Department of Mathematics,Hong Kong Baptist University,Hong Kong,China
2. Faculty of Mathematics and Statistics,Central China Normal University,Wuhan 430079,China;Department of Mathematics,Hong Kong Baptist University,Hong Kong,China |
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| Abstract: | In this paper,the study of projection properties of two-level factorials in view ofgeometry is reported.The concept of uniformity pattern is defined.Based on this new con-cept,criteria of uniformity resolution and minimum projection uniformity are proposed forcomparing two-level factorials.Relationship between minimum projection uniformity andother criteria such as minimum aberration,generalized minimum aberration and orthogo-nality is made explict.This close relationship raises the hope of improving the connectionbetween uniform design theory and factorial design theory.Our results provide a justifi-cation of orthogonality,minimum aberration,and generalized minimum aberration from anatural geometrical interpretation. |
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| Keywords: | discrepancy generalized minimum aberration minimum projection uniformity orthogonality uniformity pattern uniformity resolution |
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