A task in statistics and machine learning for comparing models that are fit to the same data with the aim of determining which best explains the data. Questions about how to use model comparision to evaluate models are likely more appropriate for CrossValidated (https://stats.stackexchange.com)!
Model comparison is a task in model selection involving the application of a measure (criterion) to the fits of a set of candidate models to data. The resulting measurements enable a quantitative comparison of appropriateness of the models in explaining the data.
See the Model Selection Wikipedia entry.