# Does likelihood ratio test tell about anything else than whether two models are “different”?

Does likelihood ratio test tell about anything else than whether two models are "different"?

Wikipedia says:

The test is based on the likelihood ratio, which expresses how many times more likely the data are under one model than the other.

But what does it mean that data is more likely under one model than the other?

• It's not clear what kind of explanation you're seeking. Do you need an explanation of what likelihood is (by which "more likely" should be interpreted)? – Glen_b Dec 6 '16 at 23:09
• @Glen_b I'm asking about what kind of information the likelihood ratio test gives. Like does it give a similar kind of statistic such R$^2$ in the sense that a higher number means that the model is better. Or does it merely give some number and whether it's some or some other means whether two models are different or not (which is the case in e.g. the anova test of two models). – mavavilj Dec 6 '16 at 23:29