Evaluation of Relative Efficiency of Alpha Lattice Design and Cluster Analysis of Twenty Spring Triticale Field Experiments

DOI: 10.18805/IJARe.A-466    | Article Id: A-466 | Page : 301-307
Citation :- Evaluation of Relative Efficiency of Alpha Lattice Design and Cluster Analysis of Twenty Spring Triticale Field Experiments.Indian Journal Of Agricultural Research.2020.(54):301-307
R.N.F. Abdelkawy, A.Z. Turbayev, A.A. Soloviev ramy.ra86@gmail.com
Address : Russian State Agrarian University - Moscow K.A. Timiryazev Agricultural Academy (RSAU -MTAA), Russian Federation, Moscow.
Submitted Date : 24-07-2019
Accepted Date : 5-01-2020


Twenty genotypes triticale were evaluated in an alpha lattice design and RCBD for eight characters to a comparison of the relative efficiency (RE) of alpha-lattice design and RCBD. Two experiments were analyzed according to alpha lattice design and RCB design. Average estimated (RE) was 12.97, 5.93, 21.79, 35.50, 21.53, 23.96 and 26.69% for number of plants / m2, tillering fertility, plant height (cm), spike length (cm), number of spikelets / spike, 1000-grain weight (g) and grain yield (g / m2), respectively, the high precision is obtained significantly to estimate treatment effects indicating that using an alpha lattice design in place of RCBD. Mean comparisons for both RCBD and alpha lattice design were performed and two designs confirmed to Dublet, Ulyana, 131/1656 and C259 genotypes were the highest yield (g / m2). Cluster analysis showed that genotypes were isolated into three principle groups and one of these contains one variety (Dublet). This variety was characterized by a high yield over two years. The results showed that alpha lattice more efficient and it can be used it instead of traditional RCB design in the agricultural field trials.


Alpha lattice design Cluster analysis Efficiency RCBD Triticale yield trials


  1. Abd El-Mohsen, A.A. and Abo-Hegazy, S.R. (2013). Comparing the relative efficiency of two experimental designs in wheat field trials. World Essays Journal. 1(3): 101-109.
  2. Abd El-Shafi, M.A. (2014). Efficiency of classical complete and incomplete block designs in yield trial on bread wheat genotypes. Research Journal of Agriculture and Biological Sciences. 10(1): 17-23.
  3. Abdelaal, H.K., Bugaev, P.D., Fomina T.N. (2019). Nitrogen fertilization effect on grain yield and quality of spring triticale varieties. Indian Journal of Agricultural Research. 53(5) P: 578-    583. DOI: 10.18805/IJARe.A-426.
  4. Arain, S.M., Sial, M.A., Jamali, K.D., Laghari, K.A. (2018). Grain yield performance, correlation and cluster analysis in elite bread wheat (Triticum aestivum L.) lines. Polish Botanical Society Acta Agrobotanica. 71(4): 1747.
  5. Aydogan, E., Bilgili, U., Yagdi, K. (2010). Grain yield and quality of triticale lines. Journal of Food, Agriculture & Environment. 8(2): 558-564. 
  6. Bonney, P., Eleblu, J.S.Y., Eziah, V. (2019). Screening of 25 cowpea genotypes for resistance to Megalurothrips sjostedti Trybom in southern Ghana. Legume Research. DOI: 10.18805/LR-477.
  7. Campbell, B.T. and Bauer, P.J. (2007). Improving the precision of cotton performance trials conducted on highly variable soils of the southeastern USA Coastal Plain. Plant Breeding. 126: 622-627.
  8. Chernyshova, E.A., Myakinkov, A.G., Soloviev, A.A. (2015). Comparative analysis of grain technological qualities of winter triticale varieties. News of the Timiryazev Agricultural Academy. 3: 16-24.
  9. Costa e Silva, J., Dutkowski, G.W., Gilmour, A.R. (2001). Analysis of early tree height in forest genetic trials is enhanced by including a spatially correlated residual. Canadian Journal of Forest Research. 31: 1887-1893. 
  10. Divashuk, M.G., Soloviev, A.A., Karlov, G.I. (2010). The effect of selection for phenotypical characters on the chromosome constitution in spring triticale. Russian Journal of Genetics. 3: 340-344.
  11. Dogan, R. and Vural, H. (2013). Comparison among Clustering in Multivariate Analysis of Triticale Using Agronomical Traits. Bulgarian Journal of Agricultural Science. 19(1): 110-116. 
  12. Duppala, M.K., Beena, N., Gowtham, K.S., Pawar, P.D., Patil, S.R. (2018). Estimating the efficiency of alpha lattice design in preliminary yield trials of mustard. Journal of Soils and Crops. 28(1): 89-94. 
  13. Fisher, R.A. (1926). The arrangement of field experiments. Ministry of Agriculture of Great Britain. 33: 503-513.
  14. Ghareeb, Z.E., Ibrahim, H.E.A., El-Marsafawy, T.S. (2015). Evaluating the precision of faba bean field experiments. Bulletin of Faculty of Agriculture, Cairo University. 66: 288-296. 
  15. Giesbrecht, F.G. and Gumpertz, M.L. (2004). Planning, Construction and Statistical Analysis of Comparative Experiments. Wiley, CT: New York.
  16. Grabovets, A.I., Krokhmal, A.V., Dremucheva, G.F., Karchevskaya, O.E. (2013). Breeding triticale for the baking purposes - results and prospects. Reports of the Russian Academy of agricultural Sciences. 2: 3-8. 
  17. Hinkelman K. and Kempthorne O. (2006). Design and Analysis of Experiments. Vols. 1 and 2. Wiley, CT: New York.
  18. Idrees, N. and Khan, M.I. (2009). Design improvement using uniformity trials experimental data. Pakistan Journal Agricultural Sciences. 46(4): 315-320.
  19. Kashif, M., Khan, M.I., Arif, M. Ahmad, M., Mahmood, K. (2011a). Experience in use alpha lattice design in Pakistan. International Journal of Intelligent Technologies and Applied Statistics. 4(1): 133-146.
  20. Kashif, M., Khan, M.I., Arif, M., Anwer, M., Ijaz, M. (2011b). Efficiency of alpha lattice design in rice field trials in Pakistan. Journal of Scientific Research. 3(1): 91-95.
  21. Kristensen, K. (2012). Incomplete split-plot designs based on alpha-    designs: a compromise between traditional split-plot designs and randomized complete block design. Euphytica. 183(3): 401-413.
  22. Lentner, M. and Bishop, T. (1993). Experimental Design and Analysis (Second Ed.). Valley Book Company, CT: Blacksburg.
  23. Masood, M.A., Farooq, K., Mujahid, Y., Anwar, M.Z. (2008). Improvement in precision of agricultural field experiments through design and analysis. Pakistan Journal of Life and Social Sciences. 6: 89-91.
  24. Masood, M.A., Qamar, M., Raza, I. (2018). Comparative efficiency of alpha lattice design versus randomized complete block design in wheat field trials. International Journal of Scientific & Engineering Research. 9(11): 646-650. 
  25. Misra, R.C. and Swain, P. (2010). Cluster analysis: a comparison of four methods in rice bean [Vigna umbellate (Thunb.) ohwi & ohashi]. Legume Research. 33(2): 95 - 101.
  26. Patterson, H.D. and Hunter, E.A. (1983). The efficiency of incomplete block designs in national list and recommended list of cereal variety trials. The Journal of Agricultural Science. 101(2): 427-433.
  27. Patterson, H.D. and Silvey, V. (1980). Statutory and recommended list trials of crop varieties in the United Kingdom. Journal of the Royal Statistical Society, A 143: 219-252.
  28. Patterson, H.D. and Williams, E.R. (1976). A new class of resolvable incomplete block designs. Biometrika, 63: 83-90.
  29. Payne, R.W., Murray, D.A., Harding, S.A., Baird, D.B., Soutar, D.M. (2011). An Introduction to GenStat for Windows (14th). VSN International, CT: Hemel Hempstead.
  30. Piepho, H.P., Buchs, A., Truberg, B. (2006). On the use of multiple lattice designs and á-designs in plant breeding trials. Plant Breeding. 125: 523-528. 
  31. Stroup, W.W., Baenziger, P.S., Multize, D.K. (1994). Removing spatial variation from wheat yield trials: a comparison of methods. Crop Science. 86: 62-66.
  32. Xing, L., Munoz, P., Inostroza, L., Acuna, H. (2014). Comparing accuracy of Alpha-lattice, row-column and randomized complete block design methods to estimate genetic parameters. Crop Breeding and Genetics. Poster Number 546.
  33. Yang, R., Terrance, Z.Y., Stanford, S.B., Manjula, B. (2004). Efficiency of spatial analyses of field pea variety trials. Crop Science. 44(1): 49-55.
  34. Yau, S.K. (1997). Efficiency of alpha-lattice designs in international variety yield trials of barley and wheat. The Journal of Agricultural Science. 128: 5-9.
  35. Zhu, F. (2018). Triticale: Nutritional composition and food uses. Food Chemistry. 241: 468-479.

Global Footprints