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Relative Efficiency of Latin Square Design to Randomized Designs

A. V. Oladugba, O. T. Babatunde, M. L. Adeleke


The relative efficiency of Latin Square Design to randomized designs is commonly assessed by its error variance. This paper derives three relative efficiency (RE) formulae as substitute to existing formular (relative precision) for evaluating the RE of Latin Square Design to randomized designs. These three derived formulae provide information concerning the sensitivity and planning of the experimental designs. The formulae are illustrated numerically by examples from the literature. The results from the empirical analysis of the derived formulae and the existing formular showed that the derived formulae are suitable for assessing the RE of the Latin Square Design since the conclusions reached are the same.


Relative efficiency, P-value, Power, Latin square design, Randomized designs

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