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Partially Balanced 3-Designs using Mutually Orthogonal Latin Squares

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Title Partially Balanced 3-Designs using Mutually Orthogonal Latin Squares
 
Creator Sayantani Karmakar
Cini Varghese
Seema Jaggi
Mohd Harun
Devendra Kumar
 
Subject Balanced incomplete block designs
Canonical efficiency factor
Mutually orthogonal latin squares
t-packing
 
Description Not Available
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.
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Date 2022-04-25T04:45:05Z
2022-04-25T04:45:05Z
2022-04-12
 
Type Research Paper
 
Identifier Karmakar, S., Varghese, C., Jaggi, S., Harun, M. and Kumar, D. (2022). Partially Balanced 3-Designs using Mutually Orthogonal Latin Squares. Bhartiya Krishi Anusandhan Patrika. DOI: 10.18805/BKAP351.
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http://krishi.icar.gov.in/jspui/handle/123456789/71681
 
Language Hindi
 
Relation Not Available;
 
Publisher Bhartiya Krishi Anusandhan Samiti