Solution

Past exam of the mathematics course of the University of Cambridge / 2007 / ib / Paper 2 / 19C / Solution

Past exam of the mathematics course of the University of Cambridge / 2024 / ib / Paper 1 / 18H / c / Solution

= Power function
{synonym}

For a test with rejection region $R$, its power function is
$$
\pi(\theta)=\mathbb P_\theta(X\in R).
$$
Its supremum over the null parameter space is the size of the test.


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 Incoming links: Power function of a statistical test