title: On the need for a control line in selection experiments: a likelihood analysis.
abstract: The question of whether selection experiments ought to include a control line, as opposed to investing all facilities in a single selected line, is addressed using a likelihood perspective. The consequences of using a control line are evaluated under two scenarios. In the first one, environmental trend is modeled and inferred from the data. In this case, a control line is shown to be highly beneficial in terms of the efficiency of inferences about heritability and response to selection. In the second scenario, environmental trend is not modeled. One can imagine that a previous analysis of the experimental data had lent support to this decision. It is shown that in this situation where a control line may seem superfluous, inclusion of a control line can result in minor gains in efficiency if a high selection intensity is practiced in the selected line. Further, if there is a loss, it is moderately small. The results are verified to hold under more complicated data structures via Monte Carlo simulation. For completeness, divergent selection designs are also reviewed, and inferences based on a conditional and full likelihood approach are contrasted.
authors.affiliation: Department of Animal Breeding and Genetics, Danish Institute of Agricultural Sciences, PO Box 50, 8830 Tjele, Denmark. Daniel.Sorensen@agrsci.dk
authors.forename: Daniel
authors.initials: D
authors.lastname: Sorensen
authors.forename: Bernt
authors.initials: B
authors.lastname: Guldbrandtsen
authors.forename: Just
authors.initials: J
authors.lastname: Jensen
mesh_terms: D003198:Computer Simulation; D035061:Control Groups; D004777:Environment; D016013:Likelihood Functions; D008957:Models, Genetic; D015233:Models, Statistical; D009010:Monte Carlo Method; D012641:Selection, Genetic