A criterion for selecting a two level fractional factorial design

Document Type : Original Paper


Department of Statistics, University of Kurdistan, Sanandaj, Iran


Application of fractional factorial design is common in experiments with a large number of factors. Choosing the appropriate fraction is an important issue in the fractional designs literature. There are different criteria based on different perspectives. In this paper, a criterion based on minimization of a weighted function of the mean squared error matrix of the least squares estimators of a pre-specified model is introduced. In two-level fractional designs, the criterion for the uniform weight function is calculated and shown to be equivalent to the well-known $ D $-optimal design. Finally, the method is described with examples.


Main Subjects

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Volume 11, Issue 1
April 2021
Pages 61-68
  • Receive Date: 17 June 2019
  • Revise Date: 19 January 2021
  • Accept Date: 24 October 2020
  • First Publish Date: 15 April 2021