Optimal Block Design for CDC Method (3)

Volume 3 - Issue 3

Mahendra Kumar Sharma*, Mekonnen Tadesse and Mohammed Omer

Received: August 28, 2020;   Published: September 16, 2020

DOI: 10.26717/CTBB.MS.ID.000161

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Abstract

In the present article, we are presenting the method of construction of block designs for Griffing’s complete diallel cross method (3) by using a complete set of (p-1) mutually orthogonal Latin squares, when p is a prime or a power of prime. The block designs for Griffing’s methods (3) are new and universally optimal in the sense of [1]. The block designs for methods (3) are orthogonally blocked designs. In an orthogonally blocked design, no loss of efficiency on the comparisons of interest is incurred due to blocking. The analysis of data obtained through proposed designs is presented. The analysis includes the analysis of variance, estimation of general combining ability, specific combining ability and reciprocal combining ability. The analysis is illustrated with the help of numerical data. Tables of universally optimal block designs have been provided. AMS classification: 05B15, 62 K 05.

Keywords: Mutually orthogonal latin squares; complete diallel cross; block design; optimality

Abstract| Introduction| Method of Construction| Model and Estimation| Optimality| Illustration| References|