In the present article, we are presenting row-column designs for Griffing’s complete diallel cross methods (1) for parents by using a complete set of () mutually orthogonal Latin squares, when is prime or a power of prime. The row-column designs for Griffing’s methods (1) are new and universally optimal in the sense of Kempthrone (1956) and Kiefer (1975). The row-column designs for methods (1) 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 includes the analysis of variance (ANOVA), estimation of general combining ability (gca), specific combining ability (sca) and reciprocal combining ability (rca). Tables of universally optimal row-column designs have been provided.
KempthorneO. (1956). The theory of diallel crosses.Genetics, 41, 451-459.
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KieferJ. (1975). Construction and optimality of generalized Youden designs. In a Survey of Statistical Design and Linear Models, ED. J.N. Srivastava, pp. 333-353. Amsterdam: North Holland.
