In the balanced case with no missing cells, show that the REML likelihood-ratio statistic for treatment effects is

\[
\operatorname{LLR}=(n-1) \log (1+F /(n-2)) \text {, }
\]

where \(n=24\) is the number of rats, and \(F\) is the treatment-to-rat mean-square ratio shown in Exercise 1.2. Compute the \(F\)-value and the associated tail probability for \(\mathrm{LLR}=2.51\) and \(\mathrm{LLR}=3.86\). Comment briefly on the relevance of this calculation for the calibration of likelihood-ratio statistics in the present setting.