In conducting a replicated varietal yield trial, the experimenter usually is interested in obtaining the highest yielding variety or varieties from a group of varieties (or strains). A useful kind of information under such circumstances would be knowledge concerning the optimum allocation of replicates and varieties in any single experiment. Yates (23) and Perotti (12) have given a formula for determining the best combination of replicates and varieties in selecting the highest yielding variety or varieties from a simple randomized complete block design. For the more complex designs, formulas for determining the optimum allocation of varieties, replicates and locations (or years) would be useful.
Federer, Walter T.
"Evaluation of variance components from a group of experiments with multiple classifications,"
Research Bulletin (Iowa Agriculture and Home Economics Experiment Station): Vol. 30
, Article 1.
Available at: https://lib.dr.iastate.edu/researchbulletin/vol30/iss380/1