Abstract
In this paper, the concept of generalized variable resolution is proposed for designs with nonnegligible interactions between groups. The conditions for the existence of generalized variable resolution designs are discussed. Connections between different generalized variable resolution designs and compromise plans, clear compromise plans and designs containing partially clear two-factor interactions are explored. A general construction method for the proposed designs is also discussed.
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Acknowledgments
The authors would like to thank the editor and two anonymous referees for their valuable comments and constructive suggestions. The work was supported by National Natural Science Foundation of China (Nos. 11171065, 11471172), Natural Science Foundation of Jiangsu Province of China (Nos. BK20141326 and BK20140617), Graduate research and innovation projects in Jiangsu Province (No. KYZZ0068), Scientific Research Foundation of Graduate School of Southeast University.
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Lin, JG., Chen, XP., Yang, JF. et al. Generalized variable resolution designs. Metrika 78, 873–884 (2015). https://doi.org/10.1007/s00184-015-0531-2
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DOI: https://doi.org/10.1007/s00184-015-0531-2