When performing a log-likelihood ratio test, do I take log to both of the likelihood first or find the ratio first and take the log?

vidamuhae

vidamuhae

Answered question

2022-11-16

When performing a log-likelihood ratio test, do I take log to both of the likelihood first or find the ratio first and take the log?

Answer & Explanation

kavdawg8w8

kavdawg8w8

Beginner2022-11-17Added 20 answers

The test is actually a 'likelihood ratio test'. This ratio is often called Λ (Lambda).
If you're using Wilks' theorem to obtain the asymptotic chi-square distribution of 2 log Λ, then you take the log of the ratio (or equivalently, the difference of the logs of the numerator and denominator), and multiply by −2 (giving a non-negative number, if you've done it right). So there's a reason to consider the log of the likelihood ratio.

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