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Construction of Partially Balanced Semi-Latin Rectangles with Block Size 4

Indian Agricultural Research Journals

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Title Construction of Partially Balanced Semi-Latin Rectangles with Block Size 4
 
Creator Yadav, Kaushal Kumar
Dash, Sukanta
Parsad, Rajender
Mandal, Baidya Nath
Kumar, Anil
Kumar, Mukesh
 
Subject Semi Latin Rectangle; Partially Balanced Semi-Latin rectangles; Canonical efficiency factor; Average efficiency factor.
 
Description Semi-Latin rectangles represent row-column designs where each row-column intersection contains the same number of experimental units, denoted as k >1. Additionally, each treatment appears an equal number of times in each row ( r n , say) and in each column ( c n , say) ( 1 r n ≥ and 1 c n ≥ may or may not be same). Partially Balanced Semi-Latin rectangles (PBSLR) constitute a subset of Semi-Latin rectangles (SLR), serving as generalizations of Latin squares and Semi-Latin squares (SLS). These designs find utility in various agricultural and industrial experiments, particularly situations where one effect is considered a column effect and the other a row effect, with the intersection (block/cell) accommodating precisely four units. This article introduces two methods for constructing PBSLR designs with a block size of 4. Also, R package has been developed for generating the designs.
 
Publisher Indian Society of Agricultural Statistics (ISAS)
 
Date 2024-09-10
 
Type info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
Peer-reviewed Article
 
Format application/pdf
 
Identifier https://epubs.icar.org.in/index.php/JISAS/article/view/155900
10.56093/jisas.v78i2.5
 
Source Journal of the Indian Society of Agricultural Statistics; Vol. 78 No. 2 (2024); 115-123
0019-6363
 
Language eng
 
Relation https://epubs.icar.org.in/index.php/JISAS/article/view/155900/55626
 
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