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Robustness of Balanced Incomplete Block Designs [PDF]
The Annals of Statistics, 1976 When a variety is lost or omitted from a balanced incomplete block design, the residual design is not, in general, balanced. A lower bound is obtained for the overall efficiency in this case and it is shown that the overall loss of efficiency even in the unbalanced case is small.
Peter W. M. John
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Balanced Incomplete Block Designs and Tactical Configurations [PDF]
The Annals of Mathematical Statistics, 1955 A balanced incomplete block design (BIB design) is an arrangement of $v$ varieties of treatments in $b$ blocks of $k$ distinct varieties each, so that each variety is contained in $r$ blocks and every pair of varieties is contained in $\lambda$ blocks. Various methods of constructing such designs are discussed in [2], and certain designs are listed in [
D. A. Sprott
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Construction of Rotatable Designs Through Balanced Incomplete Block Designs [PDF]
The Annals of Mathematical Statistics, 1962 Rotatable designs were introduced by Box and Hunter (1954, 1957) for the exploration of response surfaces. They constructed these designs through geometrical configurations and obtained several second order designs. Afterwards, Gardiner and others (1959) obtained some third order designs through the same technique for two and three factors and a third ...
Moumita Das, V.L. Narasimham
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Variance balanced incomplete block designs
Bulletin of Pure & Applied Sciences- Mathematics and Statistics, 2018 T. Shekar Goud, N. Ch. Bhatra Charyulu
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A Series of Balanced Incomplete Block Designs [PDF]
The Annals of Mathematical Statistics, 1968 C. C. Yalavigi
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Partially balanced network designs and graph codes generation
AIMS Mathematics, 2022 Partial balanced incomplete block designs have a wide range of applications in many areas. Such designs provide advantages over fully balanced incomplete block designs as they allow for designs with a low number of blocks and different associations. This
A. El-Mesady +3 more
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A quasidouble resolvable 2–(49, 7, 2) design
Examples and Counterexamples, 2021 The very first example of a quasidouble resolvable 2–(49, 7, 2) design is given.
Shyam Saurabh, Kishore Sinha
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Block Intersections in Balanced Incomplete Block Designs [PDF]
Canadian Mathematical Bulletin, 1964 One of the most interesting of the smaller BIBD's is the system (8, 14, 7, 4, 3), where we write the parameters in the standard order v, b, r, k, λ. One representation of a design with these parameters is 1248, 3567; 2358, 1467; 3468, 1257; 4578, 1236; 5618,2347; 6728,1345; 7138,2456.
Stanton, R. G., Sprott, D. A.
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Construction of Some Circular Regular Graph Designs in Blocks of Size Four Using Cyclic Shifts
Journal of Statistical Theory and Applications (JSTA), 2020 Circular regular graph designs play an important role in the design of experiments where most of the balanced incomplete block designs require a large number of blocks.
Rashid Ahmed +3 more
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t-designs involving treatment combinations for animal experimentation
Indian Journal of Animal Sciences, 2023 Small and marginal farmers in India prefer an Integrated Farming System (IFS) approach i.e. a mixture of crop and livestock that enables them to maintain a stable income throughout the year.
SAYANTANI KARMAKAR +3 more
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