Just a quick question
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?
2026-03-29 07:21:16.1774768876
log-likelihood ratio test question
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The test is actually a 'likelihood ratio test'. This ratio is often called $\Lambda$ (Lambda).
If you're using Wilks' theorem to obtain the asymptotic chi-square distribution of $-2\log\Lambda$, 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.