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Some new constructions of circular balanced repeated measurements designs.(English)Zbl 1508.62187

Summary: Repeated measurements designs are widely used in medicine, pharmacology, animal sciences, and psychology. In this article, some infinite series are developed to generate the balanced repeated measurements designs for \(p\) (periods) even. For \(p\) odd, construction procedures are also described. Catalogues of the proposed designs are also presented for \(p = 5, 7, 9\), when \(v \leq 100\).

MSC:

62K05 Optimal statistical designs
05B05 Combinatorial aspects of block designs
62K10 Statistical block designs

Cite

References:

[1]Afsarinejad, K. 1990. Repeated measurements designs-a review.Communication in Statistics - Theory and Methods 19:3985-4028. ·Zbl 0728.62071
[2]Cheng, C. S., and C. F. Wu. 1980. Balanced repeated measurements designs.Annals of Statistics 8:1272-1283. ·Zbl 0461.62064 ·doi:10.1214/aos/1176345200
[3]Hedayat, A. S., and K. Afsarinejad. 1975. Repeated measurements designs, I. InA Survey of Statistical Designs and Linear Models (J. N. Srivastava, ed.). North Holland, Amsterdam, 229-242. ·Zbl 0304.62009
[4]Iqbal, I., and B. Jones. 1994. Efficient repeated measurements designs with equal and unequal period sizes.Journal of Statistical Planning and Inference 42:79-88. ·Zbl 0803.62072 ·doi:10.1016/0378-3758(94)90190-2
[5]Iqbal, I., and M. H. Tahir. 2009. Circular strongly balanced repeated measurements designs.Communications in Statistics—Theory and Methods 38:3686-3696. ·Zbl 1285.05019
[6]Iqbal, I., M. H. Tahir, and S. S. A. Ghazali. 2010. Circular first-and second-order balanced repeated measurements designs.Communications in Statistics-Theory and Methods 39:228-240. ·Zbl 1227.05076
[7]Magda, C. G. 1980. Circular balanced repeated measurements designs. Communications in Statistics-Theory and Methods 9:1901-1918. ·Zbl 0457.62061
[8]Sharma, V. K., S. Jaggi, and C. Varghese. 2003. Minimal balanced repeated measurements designs.Journal of Applied Statistics 30:867-872. ·Zbl 1121.62485
[9]Williams, E. R. 1949. Experimental designs balanced for the estimation of residual effects of treatments.Australian Journal of Science ResearchA2:149-168.
[10]Williams, E. R. 1950. Experimental designs balanced for pairs of residual effects.Australian Journal of Science ResearchA3:351-363.
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. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.
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