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Partially balanced t-designs.
- Source :
-
Communications in Statistics: Simulation & Computation . 2023, Vol. 52 Issue 12, p6141-6148. 8p. - Publication Year :
- 2023
-
Abstract
- 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 tbalance, 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. [ABSTRACT FROM AUTHOR]
- Subjects :
- *BLOCK designs
*DIVISIBILITY groups
*MAGIC squares
*AGRICULTURE
*BLOCK codes
Subjects
Details
- Language :
- English
- ISSN :
- 03610918
- Volume :
- 52
- Issue :
- 12
- Database :
- Academic Search Index
- Journal :
- Communications in Statistics: Simulation & Computation
- Publication Type :
- Academic Journal
- Accession number :
- 174588686
- Full Text :
- https://doi.org/10.1080/03610918.2021.2008436