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Economical generalized neighbor designs for use in serology. (English) Zbl 05689203
Summary: This paper considers the construction of generalized neighbor designs in circular blocks for several cases, which are useful in Serology. The initial blocks for the proposed designs are developed by using the method of cyclic shifts. Generalized neighbor designs are also constructed in linear blocks for $$v$$ even. Catalogs of circular binary blocks generalized neighbor designs are compiled for all cases.

##### MSC:
 62 Statistics
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##### References:
 [1] Ahmed, R.; Akhtar, M., Construction of neighbor balanced block designs, J. stat. theory practice., 2, 4, 551-558, (2008) · Zbl 1211.62132 [2] Chaure, N.K.; Misra, B.L., On construction of generalized neighbor design, Sankhyã B, 58, 245-253, (1996) · Zbl 0874.62085 [3] Iqbal, I., 1991. Construction of experimental designs using cyclic shifts. Ph.D. thesis, University of Kent at Canterbury, UK [4] Iqbal, I.; Jones, B., The construction of neighbor designs in circular blocks, Sci. int. (lahore), 12, 189-194, (2000) [5] Iqbal, I.; Tahir, M.H.; Ghazali, S.S.A., Circular neighbor-balanced designs using cyclic shifts, Sci. China ser. A, (2009) · Zbl 1177.05019 [6] Kedia, R.G.; Misra, B.L., On construction of generalized neighbor design of use in serology, Statist. probab. lett., 18, 254-256, (2008) · Zbl 1138.62336 [7] Mishra, N.S., Families of proper generalized neighbor designs, J. statist. plann. inference, 137, 1681-1686, (2007) · Zbl 1110.62096 [8] Misra, B.L., 1988. Some contributions to the theory of construction of balanced and partially balanced incomplete block designs. Ph. D. Thesis, University of Indore, India [9] Misra, B.L.; Chaure, N.K., Construction of generalized neighbor designs, Assam stat. rev., 3, 2, 1-6, (1989) [10] Misra, B.L.; Bhagwandas; Nutan, Families of neighbor designs and their analysis, Comm. statist. simulation comput., 20, 2 & 3, 427-436, (1991) · Zbl 0850.62613 [11] Rees, D.H., Some designs of use in serology, Biometrics, 23, 779-791, (1967)
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