Tag: coverage probabilities

Example 9.37: (Mis)behavior of binomial confidence intervals

While traditional statistics courses teach students to calculate intervals and test for binomial proportions using a normal or t approximation, this method does not always work well. Agresti and Coull (“Approximate is better than “exact’ for interval …

Example 8.34: lack of robustness of t test with small n

Tim Hesterberg has effectively argued for a larger role for resampling based inference in introductory statistics courses (and statistical practice more generally). While the Central Limit Theorem is a glorious result, and the Student t-test remarkabl…