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Designs balanced for circular residual effects. (English) Zbl 0565.62048
C. G. Magda [ibid. A9, 1901-1918 (1980; Zbl 0457.62061)] introduced a model for repeated measurements designs with a circular structure of the residual effects. He proved the universal optimality of circular balanced uniform designs over a subclass of the possible designs. We strengthen his result to optimality over the set of all designs with the same number of experimental units, periods and treatments.

MSC:
62K05 Optimal statistical designs
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[1] Cheng C.S., Annals of Statistics 8 pp 1272– (1980) · Zbl 0461.62064 · doi:10.1214/aos/1176345200
[2] Kiefer J., A Survey of Statistical Designs and Linear Models (1975)
[3] Kunert J., Annals of Statistics 11 pp 242– (1983) · Zbl 0522.62054 · doi:10.1214/aos/1176346075
[4] Kunert J., Optimality of balanced uniform repeated measurements designs (1984) · Zbl 0544.62068
[5] Magda C.G., Comm. Statist. - Theor. Meth 9 pp 1901– (1980) · Zbl 0457.62061 · doi:10.1080/03610928008828004
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