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Uniformity pattern and related criteria for q-level factorials |
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| Authors: | Hong Qin Zhenghong Wang Kashinath Chatterjee |
| Affiliation: | a Faculty of Mathematics and Statistics, Central China Normal University, Wuhan 430079, China b Department of Statistics, Visva-Bharati University, Santiniketan, India c School of Mathematics and Statistics, South-Central University for Nationalities, Wuhan 430074, China |
| Abstract: | The objective of this paper is to study the issue of the projection discrepancy along the line of Liu (2002) and Fang and Qin (2005) based on discrete discrepancy measure proposed in Qin and Fang (2004), which has wide application to the field of fractional factorials. Here we also study the projection properties for q-level factorials and provide connection between minimum projection uniformity and other optimality criteria. A lower bound to projection discrepancy for q-level factorials is presented here. |
| Keywords: | General minimum aberration Lower bound Minimum moment aberration Minimum uniformity aberration Orthogonality Projection discrepancy |
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