Relative Efficiency of Split-Plot Design To Randomized Designs

Ezra Precious Ndidiamaka; Nwovu Sunday

doi:https://doi.org/10.14445/22315373/IJMTT-V67I6P515

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 67 | Issue 6 | Year 2021 | Article Id. IJMTT-V67I6P515 | DOI : https://doi.org/10.14445/22315373/IJMTT-V67I6P515

Relative Efficiency of Split-Plot Design To Randomized Designs

Ezra Precious Ndidiamaka, Nwovu Sunday

Citation :

Ezra Precious Ndidiamaka, Nwovu Sunday, "Relative Efficiency of Split-Plot Design To Randomized Designs," International Journal of Mathematics Trends and Technology (IJMTT), vol. 67, no. 6, pp. 131-135, 2021. Crossref, https://doi.org/10.14445/22315373/IJMTT-V67I6P515

Abstract

The aim of this study is to compare the efficiency of split plot design relative to completely randomized design, randomized complete block design and Latin square design using their error variances. The data collected on the soil variability and methods of soil preparation were analysed using SPSS software. The results from the analyses showed that split plot design was more efficient than completely randomized design, randomized completely block design and Latin square design for split-plot comparison and less efficient than completely randomized design and randomized completely block design but more efficient than Latin square design for whole-plot comparison. It was therefore concluded that for maximum leave area of African yam bean, the experiment should be performed using split-plot design instead of completely randomized design, randomized completely block design or Latin square design by assigning the levels of poultry manure to the split-plot and the levels of phosphorus application to the whole-plot.

Keywords

Experimental designs, Split plot, Whole plot, variability, Relative efficiency, Precision.

References

[1] Mujahid, K.R.C., Relative efficiency of experimental designs in relation to various sizes and shapes of plots and blocks in indian mustard (brassica juncea l.) crop. International Journal of Agricultural & Statistical Sciences. 13(1)(2017) 253-258.
[2] Nishu, L., Mujahid, K., Kiran, K. and Ramesh, K.T., Relative efficiency of different experimental designs for sunflower. Annual Research and Review in Biology. 12(4) (2017) 1-7.
[3] Immad, A.H., Mir, S.A. and Shafiq, A.W., Evaluation of an efficient design of experiment for high-density apple plantation. An International Refereed, Peer Reviewed & Indexed Quaterly Journal in Science, Agriculture & Engineering. 8(28)(2019) 128-130.
[4] Mahgoub, B.M and Siraj, O.O., Comparing efficiency of on-farm experiments relative to designed experiments in complete blocks. International Journal of Innovation and Applied Studies. 8(1)(2014) 64-70.
[5] Syed, A. and Ali, S., Comparative efficiency of randomized complete block design ersus Latin square design in wheat yield trials. Journal of Natural Sciences and Research. 7(1)(2017) 22-25.
[6] Ashraf, A.A. and Samir, R.A., Comparing the relative efficiency of two experimental designs in wheat field trials. World Essays Journal.1 (3)(2013) 101-109.
[7] Warren, F., Kuhfeld, R.D., and Tobias, M.G., Efficient experimental design with marketing research applications. Journal of Marketing Research. 31(4)(1994) 545-557.
[8] Ledolter, J., Split-plot designs: Discussion and examples. International Journal of Quality Engineering and Technology. 1(4)(2010) 441-457.
[9] Oladugba, A.V, Onuoha, D.O. and Opara, P.N., Relative efficiency of split-plot design to randomized complete block design. West African Journal of Industrial and Academic Research.7(1)(2013) 113-120.
[10] Adam, T.M. and Aliyu, U., The effect of blocking on the experimental precision of tomatoe yield. Research Journal of Mathematics and Statistics.4(1)(2012) 10-13.
[11] Asif, M.M. and Maqsood, Q. and Irum, R., Comparative effieciency of alpha Lattice design verses randomized complete block design in wheat field Trials. International Journal of Scientific & Engineering Research. 9(11)(2018) 646-650.