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Forage Yield Precision, Experimental Design, and Cultivar Mean Separation for Alfalfa Cultivar Trials

Dep. of Agronomy, Univ. of Wisconsin-Madison, 1575 Linden Dr., Madison, WI 53706-1597 USA

View larger version (49K): [in a new window]   Fig. 1 Histogram of the predicted reduction in the LSD(0.05) value resulting from doubling the plot size in 49 alfalfa cultivar trials. Arrows represent predicted LSD reductions resulting from increasing the number of replicates from four to the specified value (r)

View larger version (40K): [in a new window]   Fig. 2 Histograms of relative efficiencies (REs) for 49 alfalfa cultivar trials. The REs of correlated errors analysis (CE), trend analysis, and trend plus correlated errors analysis were computed relative to the randomized complete block design without spatial analysis

View larger version (17K): [in a new window]   Fig. 3 Plot of the natural logarithms of mean square error (MSe) vs. trial mean for 49 alfalfa cultivar trials. The solid line is the linear regression of the plotted data points: ln(MSe) = 0.4719ln(Mean) - 1.3931 (P < 0.01). The dashed and dotted lines are the decision rules for rejecting trials based on the predicted MSe or coef. of variation (CV), respectively. Open vs. closed symbols are based on the P-value from the F-test for cultivar means

View larger version (19K): [in a new window]   Fig. 4 Scatterplot of the empirical relationship between modified coef. of variation (MCV) and coef. of variation (CV) for 49 alfalfa cultivar trials

View larger version (22K): [in a new window]   Fig. 5 Scatterplot of the empirical relationship between the least significant range (LSR) and modified coef. of variation (MCV) for 49 alfalfa cultivar trials. Open circles represent trials for which the trial mean was less than the median of the trial means. Closed circles represent trials for which the trial mean was equal to or greater than the median of the trial means

View larger version (24K): [in a new window]   Fig. 6 Scatterplot of the mean correlation coef. between cultivar rankings of 49 individual alfalfa cultivar trials with cultivar rankings of 48 other trials vs. the mean square error of the 49 individual trials