Nonexistence of robust designs against presence of more than one outlier in a restricted class

Ganesh Dutta, Nripes Kumar Mandal and Premadhis Das

Communications in Statistics - Theory and Methods, 2023, vol. 52, issue 6, 1668-1675

Abstract: Presence of one or more outliers in the observations affect inference procedure in statistical analysis. Designs robust against presence of a single outlier can be found in the literature for both regression and block design set-ups. In this paper, an attempt has been made to find a robust design in a block design set-up for the estimation of a full set of orthonormal treatment contrasts when there are more than one outlier among the observations. It appears that symmetry and balance play an important role in this study; it is seen that as we deviate from them, designs deviate from robustness.

Date: 2023
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DOI: 10.1080/03610926.2021.1937651

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