Construction of Complete Diallel Crossing System using Latin Square Designs
Abstract
Diallel crossing system is a source to enumerate quantitative inheritance for homozygous parental lines. Generally, such experiments are considered for highly inbred lines. Parents may be individuals, plants, animals etc. Purpose of this study is to introduce an easy and efficient method for construction of Complete Diallel Crosses (CDC). Here, we have adopted Latin Square Designs to construct complete diallel crossing system for v parental lines where v ≥ 4.The method is illustrated with suitable examples. The efficiency values of the constructed CDC plans are tabulated
References
1. B. Griffing; Concept of General and Specific Combining Ability in Relation to Diallel Crossing Systems. Australian Journal of Biological Sciences, 9(4), 463-493 (1956b).
2. G.F. Sprague and L.A. Tatum; General vs. Specific Combining Ability in Single Crosses of Corn. Agronomy Journal, 34(10), 923-932 (1942).
3. J.Kiefer;Construction and Optimality of Generalized Youden Designs. In a Survey of Statistical Designs and Linear Models (J.N. Srivastava, ed.), North-Holland, Amsterdam, 333-353 (1975).
4. J. Schmidt; Racial Studies in Fishes. III Diallel Crossing with Trout (Salmo Trutta L.) (1919).
5. K.D. Tocher; The Design and Analysis of Block Experiments. Journal of the Royal Statistical Society, Series B (Methodological), 14, 45-91 (1952).
6. M.N. Das and N.C. Giri; Design and Analysis of Experiments. New Delhi: Wiley (1986).
7. M. Sharma; S.F. Melese and A.K. Sarial; Application of Latin square in CDC System. Aligarh Journal of Statistics, 31, 11-16 (2011).
8. P.Singh and R.Sharma; Construction of Complete Diallel Crosses Plans using Galois Field. International Journal of Agricultural and Statistical Sciences, 18(2), 813-820 (2022).
9. S.C. Agarwal and M.N. Das; A Note on Construction and Application of Balanced n-ary Designs.
Sankhyā: The Indian Journal of Statistics, Series B, 49(2), 192-196 (1987).
10. S.C. Agarwal and M.N. Das; Use of n-ary Block Designs in Diallel Crosses Evaluation. Journal of Applied Statistics, 17(1), 125-131 (1990).
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