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Mixed-level fractional factorial split-plot designs containing clear effects

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  • Shengli Zhao

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  • Xiangfei Chen

Abstract

Mixed-level designs are widely used in the practical experiments. When the levels of some factors are difficult to be changed or controlled, fractional factorial split-plot (FFSP) designs are often used. This paper investigates the sufficient and necessary conditions for a $${2^{(n_{1}+n_{2})-(k_1+k_2)}4_s^{1}}$$ FFSP design with resolution III or IV to have various clear factorial effects, including two types of main effects and three types of two-factor interaction components. The structures of such designs are shown and illustrated with examples. Copyright Springer-Verlag 2012

Suggested Citation

  • Shengli Zhao & Xiangfei Chen, 2012. "Mixed-level fractional factorial split-plot designs containing clear effects," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 75(7), pages 953-962, October.
  • Handle: RePEc:spr:metrik:v:75:y:2012:i:7:p:953-962 DOI: 10.1007/s00184-011-0361-9
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    File URL: http://hdl.handle.net/10.1007/s00184-011-0361-9
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    References listed on IDEAS

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    1. Díaz-García, José A. & Jáimez, Ramón Gutierrez & Mardia, Kanti V., 1997. "Wishart and Pseudo-Wishart Distributions and Some Applications to Shape Theory," Journal of Multivariate Analysis, Elsevier, vol. 63(1), pages 73-87, October.
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    Keywords

    Clear; Mixed-level design; Resolution; Split-plot;

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