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- Title
Partially Balanced 3-Designs using Mutually Orthogonal Latin Squares.
- Authors
Karmakar, Sayantani; Varghese, Cini; Jaggi, Seema; Harun, Mohd; Kumar, Devendra
- Abstract
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. Like other families of incomplete block designs, t-designs find potential application in farming system research where the main concern would be to select the best combination out of a certain set of t-component farming systems for a specific agro-ecological zone. But 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 t-balanced designs. A series of partially balanced 3-designs are constructed using mutually orthogonal latin squares. These designs, though possess pair-wise balance, are not combinatorially balanced in terms of 3-tuples. They also satisfy the properties of 3-packing designs. The efficiency factor of these designs is quite high as v increases, the efficiency increases.
- Subjects
MAGIC squares; BLOCK designs; FARMS
- Publication
Quarterly Research Journal of Plant & Animal Sciences / Bhartiya Krishi Anusandhan Patrika, 2022, Vol 37, Issue 1, p8
- ISSN
0303-3821
- Publication type
Article
- DOI
10.18805/BKAP351