Orthogonal Arrays and Row-Column and Block Designs for CDC Systems By Mahndra Kumar Sharma in Current Trends on Biostatistics and Biometrics. in Lupine Publishers
In this article, block and row-column designs for genetic crosses such as Complete diallel cross system using orthogonal arrays
(p2, r, p, 2), where p is prime or a power of prime and semi balanced arrays (p(p-1)/2,
p, p, 2), where p is a prime or power of an odd
prime, are derived. The block designs and row-column designs for
Griffing’s methods A and B are found to be A-optimal and the
block designs for Griffing’s methods C and D are found to be universally
optimal in the sense of Kiefer. The derived block and rowcolumn
designs for method A and C are new and consume minimum experimental
units. According to Gupta block designs for
Griffing’s methods A,B,C and D are orthogonally blocked designs. AMS
classification: 62K05.
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