A Hidden Projection Property of the 24-Run Plackett-Burman Design

By : Renu Kaul, Sanjoy Roy Chowdhury

Page No: 99-121

Abstract
In the class of two-level non-regular designs, Plackett-Burman ([14], 1946) designs have a special place. These designs have been widely used as screening designs because of their relative simplicity of use. Wang and Wu ([16],1995) observed that these designs possess certain hidden projection properties which are bestowed by the complexity of their partial aliasing relationships. They attributed the  success of Hamada and Wu’s ([9],1992) strategy for entertaining and estimating twofactor interactions from Plackett-Burman (PB) type designs to the hidden projection property.
In this paper, we have used the hidden projection property of the 24-run PB design to propose an alternative to the design suggested by Mclean and Anderson ([13],1984). The proposed design performs better in terms of increased degrees of freedom efficiency and reduced run size. We have also drawn non-isomorphic interaction graphs making D and Ds efficiency as the underlying criterion.

Authors :
Renu Kaul
Department of Statistics, Lady Shri Ram College for Women (University of Delhi), New Delhi

Sanjoy Roy Chowdhury
Department of Statistics, Lady Shri Ram College for Women (University of Delhi), New Delhi
 

DOI: DOI-https://doi.org/10.32381/IAPQRT.2022.46.01-02.6