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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.

62K05 Optimal statistical designs
Full Text: DOI
[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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