On Model Selection in Cosmology

Abstract

We review some of the common methods for model selection: the goodness of fit, the likelihood ratio test, Bayesian model selection using Bayes factors, and the classical as well as the Bayesian information theoretic approaches. We illustrate these different approaches by comparing models for the expansion history of the Universe. In the discussion we highlight the premises and objectives entering these different approaches to model selection and finally recommend the information theoretic approach.

expanded version 26 pages, 12 figures

References in corpus (7)

• Improved Cosmological Constraints from New, Old and Combined Supernova Datasets
• Spectra and Light Curves of Six Type Ia Supernovae at 0.511 < z < 1.12 and the Union2 Compilation
• Bayes in the sky: Bayesian inference and model selection in cosmology
• Measuring the effective complexity of cosmological models
• Statistical Inference: The Big Picture
• Detection of a Supervoid Aligned with the Cold Spot of the Cosmic Microwave Background
• Apparent cosmic acceleration from type Ia supernovae