×

Constructions of partially balanced bipartite block designs. (English) Zbl 0758.05013

Summary: Methods of construction of group divisible partially balanced bipartite block designs are presented. These designs have unequal replications of treatments.

MSC:

05B05 Combinatorial aspects of block designs
Full Text: DOI

References:

[1] Clatworthy, W. H., Tables of two-associate-class partially balanced designs, (Appl. Math. Ser., 63 (1973), NBS: NBS Washington) · Zbl 0153.48301
[2] Corsten, L. C.A., Balanced block designs with two different numbers of replicates, Biometrics, 18, 499-519 (1962) · Zbl 0109.37105
[3] Homel, R. J.; Robinson, J., Nested partially balanced incomplete block designs, Sankhā Ser. B, 37, 201-210 (1975) · Zbl 0342.05007
[4] Kageyama, S.; Mohan, R. N., Construction of α-resolvable PBIB designs, Calcutta Statist. Assoc. Bull., 34, 221-224 (1985) · Zbl 0596.62073
[5] Kageyama, S.; Sinha, K., Some constructions of balanced bipartite block designs, Utilitas Math., 33, 137-162 (1988) · Zbl 0639.62067
[6] Nair, K. R.; Rao, C. R., Incomplete block designs for experiments involving several groups of varieties, Science and Culture, 7, 615-616 (1942) · Zbl 0060.31307
[7] Preece, D. A., Balance and designs: Another terminological tangle, Utilitas Math., 21 C, 85-186 (1982) · Zbl 0499.62064
[8] Puri, P. D.; Kageyama, S., Constructions of partially efficiency-balanced designs and their analysis, Comm. Statist. Theor. Methods, 14, 1315-1342 (1985) · Zbl 0583.62071
[9] Puri, P. D.; Mehta, B. D.; Kageyama, S., Patterned constructions of partially efficiency-balanced designs, J. Statist. Plann. Inference, 15, 365-378 (1987) · Zbl 0606.62079
[10] Raghavarao, D., A generalization of group divisible designs, Ann. Math. Statist., 31, 756-771 (1960) · Zbl 0232.62034
[11] Raghavarao, D., Constructions and Combinatorial Problems in Design of Experiments (1971), Wiley: Wiley New York · Zbl 0222.62036
[12] Rao, M. B., Partially balanced block designs with two different number[s] of replications, J. Indian Statist. Assoc., 4, 1-9 (1966)
[13] Takeuchi, K., A table of difference sets generating balanced incomplete block designs, Rev. Internat. Statist. Inst., 30, 3, 361-366 (1962) · Zbl 0109.12204
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. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.