Iqbal, Ijaz; Tahir, M. H. Circular strongly balanced repeated measurements designs. (English) Zbl 1285.05019 Commun. Stat., Theory Methods 38, No. 20, 3686-3696 (2009). Summary: In this article, we consider the construction of circular strongly balanced repeated measurements designs using the newly proposed method called cyclic shifts, and propose some new designs for \(p < v\). Cited in 1 ReviewCited in 7 Documents MSC: 05B05 Combinatorial aspects of block designs 62K05 Optimal statistical designs 62K10 Statistical block designs Keywords:\(A\)-optimal; carry-over effects; cyclic shifts; strongly balanced designs Software:MAGDA PDF BibTeX XML Cite \textit{I. Iqbal} and \textit{M. H. Tahir}, Commun. Stat., Theory Methods 38, No. 20, 3686--3696 (2009; Zbl 1285.05019) Full Text: DOI References: [1] DOI: 10.1093/biomet/70.1.199 · Zbl 0502.62068 · doi:10.1093/biomet/70.1.199 [2] DOI: 10.1016/0167-7152(88)90048-X · Zbl 0665.62078 · doi:10.1016/0167-7152(88)90048-X [3] DOI: 10.1016/0167-7152(92)90008-S · Zbl 0708.62063 · doi:10.1016/0167-7152(92)90008-S [4] DOI: 10.1080/03610929008830426 · Zbl 0728.62071 · doi:10.1080/03610929008830426 [5] DOI: 10.1016/0378-3758(82)90084-2 · Zbl 0486.62074 · doi:10.1016/0378-3758(82)90084-2 [6] DOI: 10.1214/aos/1176345200 · Zbl 0461.62064 · doi:10.1214/aos/1176345200 [7] DOI: 10.1093/biomet/56.2.283 · Zbl 0179.23803 · doi:10.1093/biomet/56.2.283 [8] DOI: 10.1016/S0378-3758(00)00295-0 · Zbl 0974.62056 · doi:10.1016/S0378-3758(00)00295-0 [9] Hedayat A. S., Bull. Int. Statist. Inst. 1 pp 591– (1981) [10] Hedayat A. S., A Survey of Statistical Design and Linear Models. pp 229– (1975) [11] DOI: 10.1214/aos/1176344206 · Zbl 0395.62056 · doi:10.1214/aos/1176344206 [12] DOI: 10.1214/aos/1056562469 · Zbl 1028.62060 · doi:10.1214/aos/1056562469 [13] Iqbal , I. ( 1991 ) Construction of Experimental Designs Using Cyclic Shifts . Ph.D. thesis , University of Kent at Canterbury , UK . [14] DOI: 10.1016/0378-3758(94)90190-2 · Zbl 0803.62072 · doi:10.1016/0378-3758(94)90190-2 [15] John J. A., Cyclic Designs. (1987) · Zbl 0731.05001 [16] Jones B., Design and Analysis of Cross-Over Trials. (1989) · Zbl 0729.62068 [17] DOI: 10.1214/aos/1176346717 · Zbl 0544.62068 · doi:10.1214/aos/1176346717 [18] DOI: 10.1080/03610928408828850 · Zbl 0565.62048 · doi:10.1080/03610928408828850 [19] DOI: 10.1080/03610928008828004 · Zbl 0457.62061 · doi:10.1080/03610928008828004 [20] Majumdar D., Statistica Sinica 18 pp 235– (2008) [21] DOI: 10.1016/0378-3758(87)90102-9 · Zbl 0624.62077 · doi:10.1016/0378-3758(87)90102-9 [22] DOI: 10.1016/0378-3758(88)90041-9 · Zbl 0642.62043 · doi:10.1016/0378-3758(88)90041-9 [23] Shah S. K., Theory of Optimal Designs. (1989) · Zbl 0688.62043 [24] DOI: 10.1080/0266476032000075958 · Zbl 1121.62485 · doi:10.1080/0266476032000075958 [25] Williams E. R., Austral. J. Sci. Res. 2 pp 149– (1949) [26] Williams E. R., Austral. J. Sci. Res. 3 pp 351– (1950) This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.