Summary
The number of means ‘m’, from which a particular cultivar differs significantly, is used to arrange cultivars in order of descending superiority. For n cultivars under study, the maximum ‘m’ value corresponding to the best cultivar is n-1, indicating that it exceeds significantly the n-1 other cultivars, and the minimum zero. Because ‘m’ represents an objective and reliable statistical measure of cultivar performance, it has been used to calculate two indexes: (1) performance index, P=100 m/(n-1), giving the percentage of means which a particular cultivar exceeds significantly, and (2) differentiation index, D=200 Σm/n (n-1), giving the percentage of paired comparisons between cultivars that show significant differences. Rating cultivars according to P across years (Py), sites (Ps), and years plus sites (Pys), gives an overall picture of the relative superiority of the entries. Rating trials according to D allows comparisons between trials and offers the possibility when the same sets of entries are compared each year across sites, to identify sites that give maximum differentiation.
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References
Christidis, B. G., 1955–1962. Regional cotton tests-Results of 1954–1960 Sci. Bul. Nos. 3–8. Cotton Research Institute-Sindos, Greece.
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Fasoulas, A.C. Rating cultivars and trials in applied plant breeding. Euphytica 32, 939–943 (1983). https://doi.org/10.1007/BF00042176
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DOI: https://doi.org/10.1007/BF00042176