# zbMATH — the first resource for mathematics

Some important classes of generalized neighbor designs for linear blocks. (English) Zbl 1364.05017
Summary: In this paper, some infinite series of generalized neighbor designs are constructed for the linear blocks which are useful to balance out the neighbor effects for the cases where (a) one of the $$v$$ treatments has some neighbor effects with other treatments, while remaining $$(v-1)$$ treatments have half of that neighbor effect among selves, (b) some of the $$v$$ treatments have some neighbor effect with other treatments, while remaining treatments have half of that neighbor effect among themselves, (c) one of the $$v$$ treatments has some neighbor effect with other treatments, while remaining $$(v-1)$$ treatments have double of that effect among themselves, and (d) some of the $$v$$ treatments have some neighbor effect with other, while remaining treatments have double of it among themselves.
##### MSC:
 05B05 Combinatorial aspects of block designs 62K10 Statistical block designs
Full Text:
##### References:
 [1] Ahmed R., Ali Garh Journal of Statistics 32 pp 41– [2] DOI: 10.1016/j.csda.2009.05.019 · Zbl 05689203 · doi:10.1016/j.csda.2009.05.019 [3] Ahmed R., Pakistan Journal of Commerce and Social Sciences 5 (1) pp 100– [4] Akhtar M., World Applied Science Journal 8 (2) pp 161– [5] DOI: 10.1007/s11425-009-0063-1 · Zbl 1177.05019 · doi:10.1007/s11425-009-0063-1 [6] Kedia R. G., Statistics and Probability Letters 18 pp 254– [7] Misra B. L., Communications in Statistics – Simulation and Computation 20 (2) pp 427– [8] Nutan S. M., Journal of Statistical Planning and Inference 137 pp 1681– [9] DOI: 10.2307/2528428 · doi:10.2307/2528428 [10] Zafaryab M., Journal of Statistical Planning and Inference 140 pp 3408–
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. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.