On The Study Of D-Optimal Saturated Designs For Mean, Main Effects and $F_1$-Two-Factor Interactions For $2^k$-Factorial Experiments

Francois K Domagni; A. S. Hedayat; Bikas Kumar Sinha

On The Study Of D-Optimal Saturated Designs For Mean, Main Effects and $F_1$-Two-Factor Interactions For $2^k$-Factorial Experiments

Statistics Theory 2019-11-05 v1 Statistics Theory

Authors: Francois K Domagni , A. S. Hedayat , Bikas Kumar Sinha

Abstract

The goal of this paper is to develop methods for the construction of saturated designs that include the mean, main effects and the two-factor interactions of one factor with a subset of the remaining factors. If one factor is interacting with all the remaining factors give a method for the construction of a d-optimal saturated design. If one factor is interacting with a proper subset of the remaining factor we discuss the saturated d-optimal design for specific cases.

Keywords

D-optimal designs saturated designs factorial experiments main effects two-factor interactions 2^k designs

Cite

@article{arxiv.1911.00794,
  title  = {On The Study Of D-Optimal Saturated Designs For Mean, Main Effects and $F_1$-Two-Factor Interactions For $2^k$-Factorial Experiments},
  author = {Francois K Domagni and A. S. Hedayat and Bikas Kumar Sinha},
  journal= {arXiv preprint arXiv:1911.00794},
  year   = {2019}
}

On The Study Of D-Optimal Saturated Designs For Mean, Main Effects and $F_1$-Two-Factor Interactions For $2^k$-Factorial Experiments

Abstract

Keywords

Cite

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