I have 21 inbred lines from one source and another 24 from a different source. Which mating design will be best in studying the gene action and combining ability of all these lines? Which statistical software is freely available for analysis?
Probably the Diallel Analysis (or Diallel Cross) is the most used mating design for studying general combining ability (GCA) and specific combining ability (SCA) of those inbred lines over the environments. You may need to grow at 3 different locations, and each location with 2-3 replications, plus couple of seasons [you should talk to your project leader about the 'numbers'].
The following website will direct you to a real-life example: http://www.scielo.br/scielo.php?pid=S0103-90162000000100021&script=sci_arttext#t6
Combining ability of maize inbred lines evaluated in three environments in Brazil
Luciano Lourenço Nass1*; Marlene Lima2; Roland Vencovsky3; Paulo Boller Gallo2
@ Nicolas, the final purpose of Combining ability study is to find out which (two) inbreds are the best/suitable parental lines for hybridization (hybrid production) over a specific environment. Combining ability analysis also helps in the identification of superior hybrid combinations which may be utilized for commercial. The gene action evaluated from the experimental analysis also help plant breeders' breeding approaches and directions.