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Statistical Analysis of Factorial Diallel Design over Environments
Author(s) -
Wolf J.
Publication year - 1987
Publication title -
biometrical journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.108
H-Index - 63
eISSN - 1521-4036
pISSN - 0323-3847
DOI - 10.1002/bimj.4710290509
Subject(s) - mathematics , diallel cross , statistics , analysis of variance , factorial , interaction , main effect , factorial experiment , variance components , variance (accounting) , linear model , character (mathematics) , econometrics , biology , mathematical analysis , botany , geometry , accounting , hybrid , business
Starting from the experimental situation that in each of a environments all mp combinations between m maternal and p paternal genotypes are raised in b replications (blocks), a linear model is formulated for a quantitative character. On the basis of this model formulae for the analysis of variance are given. The expectations of mean squares as well as the estimations of effects (general and specific combining ability and their interaction terms with environments) and their variances are given for different combinations of fixed and random factors.