1. A HIDDEN PROJECTION PROPERTY OF THE 24-RUN PLACKETT-BURMAN DESIGN.
- Author
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KAUL, RENU and CHOWDHURY, SANJOY ROY
- Subjects
FACTORIAL experiment designs ,DEGREES of freedom ,FRACTIONAL calculus ,COMBINATORIAL designs & configurations ,GRAPHIC methods - 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. [ABSTRACT FROM AUTHOR]
- Published
- 2021
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