Journal of Statistical Theory and Practice

, Volume 9, Issue 2, pp 436–462 | Cite as

On the Joint Use of the Foldover and Partial Confounding for the Construction of Follow-Up Two-Level Blocked Fractional Factorial Designs

  • Mike JacrouxEmail author
  • Bonni Kealy-Dichone


In this article, we consider experimental situations where a regular fractional factorial design is initially used to study m two-level factors using n = 2mk experimental units arranged in 2p blocks of size 2mkp but where a follow-up design is desired to further study main effects and two-factor interactions. A typical follow-up would consist of folding over some of the experimental factors but using the same blocking scheme for the foldover design. Here, we consider the joint use of the foldover and the use of a different blocking scheme in the follow-up design to generate alternative combined designs that outperform the combined designs obtained using previously given procedures in terms of estimability of two-factor interactions, estimation capacity, or both.


Design matrix Estimable effect Estimation capacity 

AMS Subject Classification: Primary


AMS Subject Classification: Secondary



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Copyright information

© Grace Scientific Publishing 2015

Authors and Affiliations

  1. 1.Department of StatisticsWashington State UniversityPullmanUSA
  2. 2.Department of MathematicsGonzaga UniversitySpokaneUSA

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