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Relative Efficiency of Experimental Designs With Systematic Control Plots for Alfalfa Yield Tests¹

The relative efficiencies were determined for the randomized complete blocks and two lattice designs with systematically arranged control plots. All experimental data were analyzed with and without covariance, first as randomized blocks and then as lattices. The average of the two control plots lying adjacent to each entry was used as the concomitant variable in the covariance analysis.

The use of systematic controls in a covariance analysis resulted in increased efficiencies from 38 to 528%. The effectiveness of the covariance models increased with the age of the stand. Coefficients of variability and F-values were also compared. Other advantages in the use of systematic controls were the small size of experimental area required, small amount of seed per entry and the value of control plots in making subjective evaluations of entries.

Key Words: covariance • lattice designs • randomized block designs • coefficients of variability • F-values • microplots

² Associate Professor of Agronomy and Professor of Experimental Statistics.

Received for publication February 5, 1966.