Abstract
Check-plot designs have a lower selection intensity than unreplicated non-check-plot designs if both the number of test lines to be selected (s) and of total plots in the trial (N) are kept constant. For a check-plot design to be more efficient, local control must effectively reduce the plot error variance and increase heritability to such a level that it compensates for the corresponding loss in selection intensity and makes the expected gain from selection at least equal to that in the non-check-plot design. To realize this goal, the required minimum reduction in plot error variance in a checkplot design (relative to that in a non-check-plot design) depends on (1) check-plot frequencyf c , (2) fractionk = s/N, and (3) ratiow 0=σ 20 /σ 2 g of non-check-plot design plot error varianceσ 20 to genetic varianceσ 2 g among test lines. Lowerw 0 and higherf c andk are found to require a relatively higher reduction in plot error variance in check-plot designs. A condition is derived to show when a check-plot design may never be more efficient.
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Communicated by A. R. Hallauer
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Chandra, S. Efficiency of check-plot designs in unreplicated field trials. Theoret. Appl. Genetics 88, 618–620 (1994). https://doi.org/10.1007/BF01240927
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DOI: https://doi.org/10.1007/BF01240927