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Compromise 4m2n plans with clear two-factor interactions

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Abstract

This paper gets some necessary conditions for the existence of some kinds of clear 4m2n compromise plans which allow estimation of all main effects and some specified two-factor interactions without assuming the remaining two-factor interactions being negligible. Some methods for constructing clear 4m2n compromise plans are introduced.

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Authors and Affiliations

  1. School of Mathematical Sciences, Qufu Normal University, Qufu, 273165, China

    Sheng-li Zhao

  2. LPMC and Department of Statistics, School of Mathematical Sciences, Nankai University, Tianjin, 300071, China

    Run-chu Zhang

Authors
  1. Sheng-li Zhao
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  2. Run-chu Zhang
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Corresponding author

Correspondence to Sheng-li Zhao.

Additional information

Supported by the National Natural Science Foundation of China (No. 10571093, No. 10771123, No. 10826059, No. 10871104), the Natural Science Foundation of Shandong Province of China (No. Q2007A05), the SRFDP of China (No. 20050055038), and the Scientific Research Start-up Foundation of QFNU (NO. bsqd07028).

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Zhao, Sl., Zhang, Rc. Compromise 4m2n plans with clear two-factor interactions. Acta Math. Appl. Sin. Engl. Ser. 26, 99–106 (2010). https://doi.org/10.1007/s10255-006-6183-2

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  • DOI: https://doi.org/10.1007/s10255-006-6183-2

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