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Generalized Cyclic Incomplete Block Designs

Biometrika, 1978
SuMwY A wide class of incomplete block designs based on cyclic methods of construction is defined when the number of treatments can be factorized. The designs have a concise representation and the reduced normal equations can be constructed and solved by a unified method. Procedures are outlined for producing designs with good statistical properties.
Jarrett, R. G., Hall, W. B.
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On Covering of Balanced Incomplete Block Designs

Canadian Journal of Mathematics, 1964
Given a set E of v elements and given positive integers k (k ≤ v) and λ, we understand by balanced incomplete block design (BIBD) B [k, λ, v] a system of blocks (subsets of E) having k elements each such that every pair of elements of E is contained in exactly λ blocks.A necessary condition for the existence of a design B [k, λ, v] is known to be (4)
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Incomplete Block Design

2014
The designs considered in the previous chapters, namely, randomized complete block and Latin square design assume that each block always contain enough experimental units to allow for each treatment (or treatment combination in case of a factorial design) to be contained at least once in each block or in the case of Latin square design in each row or ...
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Incomplete Block Designs

Technometrics, 1981
Angela Dean, P. W. M. John
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On Identical Blocks in a Balanced Incomplete Block Design

Calcutta Statistical Association Bulletin, 1972
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Incomplete Block Designs

2018
Donald C. Weber, John H. Skillings
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