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Repeated measurements designs with unequal period sizes. (English) Zbl 1446.62215
Summary: This paper is concerned with the designs in which each experimental unit is assigned more than once to a treatment, either different or identical. An easy method of constructing balanced minimal repeated measurements designs with unequal period sizes is presented whenever the number of periods is less than the number of treatments. Strongly balanced minimal repeated measurements designs with unequal period sizes are also constructed whenever the number of periods is less than the number of treatments.

MSC:
62K10 Statistical block designs
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[1] Afsarinejad, K. (1983). Balanced repeated measurements designs.Biometrika 70, 199–204. · Zbl 0502.62068 · doi:10.1093/biomet/70.1.199
[2] Afsarinejad, K. (1985). Optimal repeated measurements designs.Statistics 16, 563–568 · Zbl 0584.62120 · doi:10.1080/02331888508801892
[3] Afsarinejad, K. (1990). Repeated measurements designs–A review.Commun. Statist.-Theory Meth. 19, 3985–4028. · Zbl 0728.62071 · doi:10.1080/03610929008830426
[4] Atkinson, G. F. (1966). Designs for sequence of treatments with carry-over effects.Biometrics 22, 292–309. · doi:10.2307/2528520
[5] Constantine, G. andHedayat, A. (1982). A construction of repeated measurements designs with balance for residual effects.J. Statist. Plan. Infer. 6, 153–164. · Zbl 0486.62074 · doi:10.1016/0378-3758(82)90084-2
[6] Davis, A. W. andHall, W. B. (1969). Cyclic change-over designs.Biometrika 56, 283–293. · Zbl 0179.23803 · doi:10.1093/biomet/56.2.283
[7] Hedayat, A. andAfsarinejad, K. (1975). Repeated measurements designs, I. In a Survey of Statistical Design and Linear Models.Ed. J. N. Srivastava, pp. 229–242. Amsterdam, North-Holland.
[8] Hedayat, A. andZhao, W. (1990). Optimal two-period repeated measurements designs.Ann. Statist. 18, 1805–1816. · Zbl 0714.62067 · doi:10.1214/aos/1176347879
[9] Pattersson, H. D. (1952). The construction of balanced design for experiments involving sequences of treatments.Biometrika 39, 32–48. · Zbl 0046.36101 · doi:10.1093/biomet/39.1-2.32
[10] Pattersson, H. D. andLucas, H. L. (1962). Change-over design.North Carolina Agric. Exp. Station Tech. Bull. No. 147.
[11] Stufken, J. (1991). Some families of optimal and efficient repeated measurements designs.J. Statist. Plan. Inference 27, 75–83. · Zbl 0716.62069 · doi:10.1016/0378-3758(91)90083-Q
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