Multilevel augmented pairs second-order response surface designs and their robustness to missing data

Tanvir Ahmad; Munir Akhtar; Steven G. Gilmour

doi:10.1080/03610926.2010.513783

Multilevel augmented pairs second-order response surface designs and their robustness to missing data

Tanvir Ahmad, Munir Akhtar, Steven G. Gilmour^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

14 Citations (Scopus)

Abstract

Missing observations can occur even in a well-planned experiment. The effect of missing observations can be much more serious when the design is saturated or near saturated. The levels of factor settings that make a design more robust to missing observations are of great importance in the sense that the loss for missing observations becomes minimum. In this study, new augmented pairs minimax loss designs are constructed, which are more robust to one missing design point than the augmented pairs designs presented by Morris (2000). New designs are compared with augmented pairs designs, central composite designs, and small composite designs under generalized scaled standard deviations. The model used is also studied for the regression coefficient estimates.

Original language	English
Pages (from-to)	437-452
Number of pages	16
Journal	Communications In Statistics-Theory And Methods
Volume	41
Issue number	3
DOIs	https://doi.org/10.1080/03610926.2010.513783
Publication status	Published - 2012

Keywords

Augmented pairs designs
Central composite designs
Generalized scaled standard deviations
Minimax loss designs
Plackett-burman designs
Small composite designs

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10.1080/03610926.2010.513783

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Multilevel augmented pairs second-order response surface designs and their robustness to missing data

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Keywords

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