GSCA 1.0
A Windows Software for Computing Combining Abilities
in a Diallel Mating Design
Chunfa Tong and Jisen Shi (tongchf@njfu.edu.cn)
Key Laboratory of Genetics
& Biotechnology (
GSCA is a Windows software
for computing general combining abilities (GCA) and specific combining
abilities (SCA) in a diallel mating design. The
algorithm is based on restricted linear models and can be deal with missing
data. In addition to providing GCA and SCA estimates, GSCA gives hypothesis
testing for model, various factors and differences between GCAs
or SCAs.
GSCA
focuses on treating the following linear model of diallel
mating design with fixed effects:
where 
is the 
th observation of the lth block within 
th environment for the 
th cross; 
is the overall mean; 
is the 
th environment effect; 
is the 
th block effect in the th environment; 
and 
are the GCA
effects of the 
th female and 
th male respectively; 
is the SCA effect
of the ith and jth
parents; 
is the reciprocal
effect due to the cross between the
th female and the
th male; 
and 
are the th environment with the th and theth GCA interactions respectively; 
is the th environment with the th SCA interaction; 
is the interaction of the th environment with the reciprocal
effect of
; and 
is the within plot error term.
The
model can be reduced to some simpler forms that include Griffing’s
four kinds of diallel cross. For a half-diallel mating design in a single site, the model will be
altered to
The software and its manual can be freely downloaded
from the following links.