On the Robustness of LSD Layouts in the Presence of Neighbor Effects

Article Type

Research Article

Publication Title

Statistics and Applications

Abstract

In this paper we study the status of four non isomorphic Latin Square Designs (LSDs) of order four while finding out the optimal covariate matrices underlying the LSDs with and without Neighbor Effects (NEs). In these LSDs we consider the four sided NEs viz., leftsided, right-sided, top-sided and bottom-sided in the presence of covariates’ effects. We utilize a circular model as was introduced by Kunert. Without NEs each of the four LSDs has six optimal covariate matrices whereas in the presence of the four-sided NEs the results are not as expected, for all the four LSDs.

First Page

279

Last Page

288

Publication Date

5-1-2024

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