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Iqbal, Ijaz; Tahir, M. H.; Ghazali, Syed Skahir Ali
Circular first- and second-order balanced repeated measurements designs. (English) Zbl 1227.05076
Commun. Stat., Theory Methods 39, No. 2, 228-240 (2010).
Summary: V. K. Sharma [Can. J. Stat. 5, 121–132 (1977; Zbl 0382.62067)] and M. L. Aggarwal, L.-Y. Deng and M. K. Jha [Stat. Probab. Lett. 76, No. 6, 597–600 (2006; Zbl 1086.62081)] considered non circular construction of first- and second-order balanced repeated measurements designs. V. K. Sharma, C. Varghese and S. Jaggi [J. Appl. Statist. 5, 153–162 (2002)] constructed circular first- and second-order balanced repeated measurements designs only for a class with parameters \((v, p = 3n, n = v^{2})\) and also showed its universal optimality. In this article, we consider circular construction of first- and second-order balanced repeated measurements designs and strongly balanced repeated measurements designs by using the method of cyclic shifts. Some new circular designs with parameters \((v, p, n)\) for cases \(p = v, p < v\) and \(p > v\) are given.

Cited in 1 Review
Cited in 7 Documents
MSC:
05B05 Combinatorial aspects of block designs
62K05 Optimal statistical designs
62K10 Statistical block designs
Keywords:
A-optimal; carry-over effects; circular balanced designs; cyclic shifts; second-order designs; strongly balanced designs
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\textit{I. Iqbal} et al., Commun. Stat., Theory Methods 39, No. 2, 228--240 (2010; Zbl 1227.05076)
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