Neighbor-Balanced Row-column Designs |
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Authors: | Eldho Varghese Seema Jaggi Cini Varghese |
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Institution: | Indian Agricultural Statistics Research Institute , New Delhi , India |
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Abstract: | In this article, row-column designs incorporating directional neighbor effects have been studied. A row-column design is said to be neighbor balanced if every treatment has all other treatments appearing as a neighbor a constant number of times. We considered here three different situations under row-column setup incorporating neighbor effects viz., row-column design with one-sided neighbor effect, two-sided neighbor effect, and four-sided neighbor effect. The information matrices for all the situations for estimating the direct and neighbor effects of treatments have been derived. Methods of constructing neighbor-balanced row-column designs have been developed and its characterization properties have been studied. |
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Keywords: | Circular design Neighbor effects Neighbor balanced row-column design Variance balanced |
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