Extensão bivariada do índice de confiabilidade univariado para avaliação da estabilidade fenotípica

Abstract

The objective of this work was to obtain the theoretical derivation of the bivariate extension to the methods proposed by Annicchiarico (1992) and Annicchiarico et al. (1995) for studing phenotypic stability. Considering assays with genotypes in environments and two variates, every genotype had the response of each variate (k = 1, 2) standardized. This standardization has been made using the environment means as follows: Wijk = Yijk/×100 ; where Wijk represents the ith genotype standard value in the jth environment for the kth variate; represents the observed mean of the ith genotype, in jth environment for the kth variate e the overall genotypes means for jth environment to kth variate. Considering the standardized values, the genotypes mean vector and covariance matrix were estimated. The theoretical derivation of the bivariate reliability index (Ii) of Annicchiarico was wasked out and a second risk index was proposed based on the bivariate probabilities (Prbi); the two indexes proposed has shown good agreement to the results in an example with melon genotypes.