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Two-level fractional factorial designs in blocks of size two for the orthogonal estimation of all main effects and two-factor interactions

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  • Jacroux, Mike

Abstract

In this paper we consider the problem of constructing two-level fractional factorial designs in blocks of size two that allow for the orthogonal estimation of all main effects and two-factor interactions (after adjusting for blocks). This problem has been considered in the literature, e.g., see Yang and Draper (2003), Wang (2004) and Kerr (2006). In this paper we give two systematic methods for the construction of such designs. The first construction method gives in many situations designs requiring fewer runs than those designs previously given whereas the second method gives a systematic method for constructing designs analogous to those illustrated in Yang and Draper (2003) by example.

Suggested Citation

  • Jacroux, Mike, 2010. "Two-level fractional factorial designs in blocks of size two for the orthogonal estimation of all main effects and two-factor interactions," Statistics & Probability Letters, Elsevier, vol. 80(11-12), pages 926-931, June.
  • Handle: RePEc:eee:stapro:v:80:y:2010:i:11-12:p:926-931
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    Cited by:

    1. Godolphin, J.D., 2019. "Two-level factorial and fractional factorial replicates in blocks of size two," Computational Statistics & Data Analysis, Elsevier, vol. 133(C), pages 120-137.

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