Although confidence intervals (CIs) have many benefits over null hypothesis significance testing (NHST) they can still be misinterpreted. Identifying CI misconceptions is a first step in designing teaching tools that can be used to prevent or reduce them. I surveyed graduate level students and found they hold several misconceptions about CIs. Many believe there is a uniform likelihood distribut...

We consider statistical inference on a single component of a parameter vector that satisfies a finite number of moment inequalities. The null hypothesis for this single component is given a dual characterization as a composite hypothesis regarding point identified parameters. We also are careful in the specification of the alternative hypothesis that also has a dual characterization as a compos...