Past exam of the mathematics course of the University of Cambridge / 2023 / iii / Paper 207 / 6 / b / vii

At ${\theta }_0$, the expected Fisher information isRequiring it to exceed $I_0$ directly controls the large-sample variance of the maximum-likelihood estimator, approximately $\mathcal{I}({\theta }_0{)}^{-1}$. Choose $I_0$ from the desired standard error, confidence-interval width, or power for clinically relevant alternatives, allowing for any planned significance level.