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Weighted Diallel Analysis Across Environments: Combining Ability and Heterotic Pattern Models
Author(s) -
Hohls T.,
Clarke G. P. Y.,
Gevers H. O.
Publication year - 1994
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.4710360810
Subject(s) - diallel cross , heterotic string theory , weighting , computer science , desk , oracle , mathematics , artificial intelligence , biology , programming language , physics , operating system , botany , hybrid , acoustics , mathematical physics
The matrix algebra needed for analysing data from diallel experiments across several environments is provided. Practical considerations for subdividing large incidence matrices and appending constraint matrices are discussed to allow large experiments to be analysed on desk top computers. In particular, a combining ability model and heterotic pattern model have been used to show how heterogeneous variances can be accommodated by weighting. The models provide valuable information on the performance of lines in crosses, the heterotic patterns of the lines, and the heterotic groups to which they belong. The methodology is illustrated by application to a diallel cross conducted among 12 elite white modified opaque‐2 maize inbred lines.