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Therefore, we propose a heritability-adjusted GGE biplot (HA-GGE biplot, Eq. 9), in which the square root of the heritability is predicted for each test environment. The predicted square root heritabilities are displayed on the biplot, which is scaled by moving backward to reflect the variation in H. The emplacement of genotype means on the biplot reflects the H. However, when the square root heritabilities are large, the emplacement of the genotype means on the biplot may be negative, or even pegged at zero, simply because the variation in the square root heritabilities is large. In that case, the predicted heritabilities are likely to be overstated. The measurement of experimental error, S.E., is a major determinant of the vector length of test environments in the HA-GGE biplot. Therefore, the position of the test environments on the HA-GGE biplot is contingent on the measurement of the S.E.'s. Having a constant vector length across the environments is something that is not possible given randomly and systematically different measurements of the S.E.'s. The predicted and the observed vector lengths of test environments on the HA-GGE biplot are shown in Figure 2.

A witty Will Rogers quip, once attributed to him, is What did he mean when he said three was company? The full quotation is, "If three people are sitting together, one has two people in the room, one alone. d2c66b5586