The optimal hypothesis tests for the binomial distribution and some other discrete distributions are uniformly most powerful (UMP) one-tailed and UMP unbiased (UMPU) two-tailed randomized tests.

Sometimes it’s hard to have confidence in science. So many results from published scientific studies turn out to be wrong. Part of the problem is that science has trouble quantifying just how ...

The number needed to treat, that is, the average number of patients a clinician needs to treat with a particular therapy to prevent one bad outcome,1 is a translation into clinical terms of the ...

This paper presents the results of a limited investigation which brings into focus the difficulties encountered in developing exact distribution-free methods for stratified simple random sampling. It ...

Understanding the confidence interval will help you grasp what an election poll is -- or is not -- saying. As you might have guessed, the media consistently gets it wrong. Candidate Gobermouch is ...

The linkage disequilibrium method is currently the most widely used single sample estimator of genetic effective population size. The commonly used software packages come with two options, referred to ...