Bellow is my abstract for talk at joint congress of SBD and SGD at Otočec. I will show how BUGS (Bayesian Using Gibbs Sampling) software can be used to fit the so called animal model. Now I need to prepair the talk and perhaps even write a short communication for some journal. Added 2009-09-20: The talk is available here.
Pedigree based mixed model (commonly called animal model) is an important class of statistical models for inference of quantitative genetic parameters in various fields such as animal and plant breeding, evolutionary biology and human genetics. In last years Bayesian statistics has been introduced to a set of standard statistical procedures of a quantitative geneticists' toolbox, due to the ever increasing complexity of fitted models. While several specific programs can be used to fit animal model using Bayesian approach, none of them provide and easy to use and flexible environment for the development and testing of models. It is common to use favourite programming language to develop the needed programs, but this requires a considerable amount of programming and statistical skills. A viable alternative is to use general purpose statistical packages. BUGS (Bayesian Using Gibbs Sampling) is a popular and fairly flexible program for the Bayesian analysis of complex statistical models using Markov Chain Monte Carlo methods. Recently two reports of fitting animal model in BUGS were given, but both failed to provide a generic procedure that can be used independently of the collected data. Here, a generic description of animal model is presented using the concept of graphical models. This description was translated to BUGS language and fitted to a small example. Comparison with other programs revealed the validity of a new procedure. Tests with other data sets showed that BUGS can be used to efficiently fit animal model for medium sized data sets. Using these results quantitative geneticists can now easily use Bayesian approach to fit animal model in BUGS.