Statistical test for contribution in the interaction matrix of genotypes and environments / Teste estatístico para contribuição de genótipos e ambientes na matriz de interação GE

AUTOR(ES)

Mirian Fernandes Carvalho Araújo

DATA DE PUBLICAÇÃO

2008

RESUMO

The objective of the present work was to propose a method for testing the con- tribution of each element in a genotypes X environments interaction using multi-environment analyses by means of an F test and implementation of a computational routine to analyze the data according to the test proposed. The study evaluated four data sets, each with a di®erent number of genotypes and environments, in a block design with four repetitions. In one group, the sum of squares within rows (genotypes) and columns (environments) of the genotypes X environments (GE) matrix was simulated, generating 500, 5000 and 10000 experiments to verify the empirical distribution. Results indicate a non-central chi-squared distribution for rows and columns of the GE interaction matrix, which was also verified by the Kolmogorov-Smirnov test and QQplot graph. Application of the F test to the four data sets identified the genotypes and environments that contributed the most to the genotypes X environments interaction. In this way, geneticists can select good genotypes and environments in their studies.

ASSUNTO(S)

non-central chi-squared distribution análise de dados genética estatística genótipos. distribuição qui-quadrada genotypes x environments interaction contribution of genotypes and environ- ments modified f test.

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