A Note on Simultaneous Confidence Intervals

A Note on Teaching Binomial Confidence Intervals

A note on bootstrap confidence intervals for proportions

We first show that any 1−α bootstrap percentile confidence interval for a proportion based on a binomial random variable has an infimum coverage probability zero for any sample size. This result is then extended to intervals for the difference, the relative risk and the odds ratio of two proportions as well as other types of bootstrap intervals. © 2013 Elsevier B.V. All rights reserved.

A Note on Teaching Large–Sample Binomial Confidence Intervals

This paper addresses the question of which large–sample binomial confidence interval method to teach in elementary courses. Recently, Goodall (1995), Simon (1996), and the references therein, have discussed the merits of several large–sample systems of binomial intervals. Three of the systems considered these articles are the z-interval, a “t-based interval,” and a continuitycorrected interval,...

Simultaneous confidence intervals for image reconstruction problems

We provide a methodology for specifying a set of simultaneous (1 CY)% confidence intervals on the intensity of each image pixel for emission and transmission tomography. These intervals give a (1 a)% confidence region which, given a specific family of noise distributions, e.g. Gaussian or Poisson, is guaranteed to contain the actual image with probability at least 1 -a. This region is a "set es...

Simultaneous confidence intervals for comparing binomial parameters.

SUMMARY To compare proportions with several independent binomial samples, we recommend a method of constructing simultaneous confidence intervals that uses the studentized range distribution with a score statistic. It applies to a variety of measures, including the difference of proportions, odds ratio, and relative risk. For the odds ratio, a simulation study suggests that the method has cover...