Semi-Balanced Array and CDC method (4)

MK Sharma* and Mohammed Omer

Received: March 27, 2020;   Published:April 21, 2020

DOI: 10.26717/CTBB.MS.ID.000142

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Abstract

With a large number of lines in a complete diallel cross experiments method (4), the number crosses become unmanageable to be accommodated in homogeneous blocks. To overcome this problem incomplete block designs for complete diallel cross Griffing’s method (4) with replication 2 and 1 have been proposed by using semi balanced arrays (p (p-1)/2, p, p, 2), where p is an odd prime or power of an odd prime. The analysis of data obtained through proposed design is presented. The analysis includes the analysis of variance, estimation of general combining ability and of specific combining ability. The analysis is illustrated with the help of numerical data. Table of universally optimal block designs has been provided.

Keywords: Orthogonal Array; Semi-Balanced Array; Complete Diallel Cross; Block Design; Optimality

x Abstract| Introduction| Method of Construction of Semi-Balanced Array| Relation between Semi-balanced Array (p (p-1)/2, p, p, 2) and Designs for CDC System| Analysis| Optimalityand Efficiency Factor| Illustration| Result and Discussion| Conclusion| References|