Goodness-of-fit tests allow one to conclude that k possible outcomes are not equally likely. In this paper, we develop an exact equivalence test that allows one to conclude that k possible outcomes are approximately equally likely. We show that the power properties of the test compare favorably...

We consider the problem of finding an exact confidence interval for a proportion that is estimated using randomized response. For many randomized response schemes, this is equivalent to finding an exact confidence interval for a bounded binomial proportion. Such intervals can be obtained by...

We develop two methods for obtaining a confidence band for the cumulative distribution function (CDF) based on a simple random sample from a finite population of known size. The methods are exact when the population contains no repeated values, and conservative otherwise. The first method...