Comparative Evaluation of Completely Randomized Design, Randomized Complete Block Design, and Latin Square Design: A Simulation Study

Osuagwu ¹ , Chidimma Udo² , Mbachu Hope Ifeyinwa³

1. Dept. of Statistics/School of Physical Sciences, Federal University of Technology, Owerri, Nigeria.
2. Dept., Statistics/Faculty of Sciences, Imo State University, Owerri, Nigeria.

Section:Research Paper, Product Type: Journal-Paper
Vol.10 , Issue.11 , pp.75-81, Nov-2024

Online published on Nov 30, 2024

Copyright © Osuagwu, Chidimma Udo, Mbachu Hope Ifeyinwa . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
 

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Abstract :
The study examined the comparative evaluation of completely randomized design, randomized complete block design, and Latin square design: a simulation study. Experimental design plays a crucial role in ensuring the validity and reliability of research findings. This simulation study compared the efficiency, power, and precision of Completely Randomized Design (CRD), Randomized Complete Block Design (RCBD), and Latin Square Design (LSD) in an experiment. A total of 63 combinations of sample sizes, treatment levels, and block sizes were evaluated. Results showed that RCBD and LSD outperformed CRD in terms of efficiency, power, and precision, particularly at larger sample sizes and treatment levels. Increasing sample size, treatment levels, and block size enhanced efficiency, power, and precision for all designs. The study recommends the use of RCBD or LSD designs for agricultural experiments, especially when treatment levels and block sizes are large. The findings have practical implications for researchers, policymakers, and practitioners in agriculture and related fields.

Key-Words / Index Term :
Experimental Design, Completely Randomized Design, Randomized Complete Block Design, Latin Square Design, Efficiency, Power, Precision, Simulation Study

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