A large likelihood ratio? I have two likelihood functions—at what values of the parameter arguments should I evaluate them when forming the ratio? Given that one of the versions is nested in the other at the boundary of the parameter space (Gaussian errors versus Student-t errors with degrees of freedom fit to the data), what counts as a large enough likelihood ratio to prefer the more general version of the model?
Your ability to distinguish them that way means that there was a large likelihood ratio from the evidence.
A large likelihood ratio? I have two likelihood functions—at what values of the parameter arguments should I evaluate them when forming the ratio? Given that one of the versions is nested in the other at the boundary of the parameter space (Gaussian errors versus Student-t errors with degrees of freedom fit to the data), what counts as a large enough likelihood ratio to prefer the more general version of the model?