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Partially balanced t-designs

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Title Partially balanced t-designs
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Creator Sayantani Karmakar
Cini Varghese
Seema Jaggi
Mohd Harun
 
Subject Association scheme
balanced incomplete block designs
canonical efficiency factor
group divisible
mutually orthogonal Latin squares
t- packing
 
Description Not Available
Incomplete block designs bring out useful information from agricultural experimentation with high precision when there is a crunch in resources in terms of homogeneous blocks that can accommodate all the treatments. Balanced incomplete block designs or 2-designs are the most popular class of incomplete block designs. t-designs represent a generalized class of balanced incomplete block designs in which the number of blocks in which any t treatments (t ≥ 2) occur together is a constant. In order to obtain t-balance, we may require large number of blocks and replications. Partially balanced t-designs are introduced for experimental situations where it is not possible to get balanced t-designs. Two series of such designs are obtained using cyclic development of initial block(s). Association of the proposed designs with t-packing designs are also demonstrated.
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Date 2022-04-05T05:58:51Z
2022-04-05T05:58:51Z
2021-11-29
 
Type Research Paper
 
Identifier Sayantani Karmakar, Cini Varghese, Seema Jaggi & Mohd Harun (2021) Partially balanced t-designs, Communications in Statistics - Simulation and Computation, DOI: 10.1080/03610918.2021.2008436
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http://krishi.icar.gov.in/jspui/handle/123456789/71184
 
Language English
 
Relation Not Available;
 
Publisher Communications in Statistics - Simulation and Computation