Rank-based multiple test procedures and simultaneous confidence intervals

Approximate simultaneous confidence intervals for multiple contrasts of binomial proportions.

Simultaneous confidence intervals for contrasts of means in a one-way layout with several independent samples are well established for Gaussian distributed data. Procedures addressing different hypotheses are available, such as all pairwise comparisons or comparisons to control, comparison with average, or different tests for order-restricted alternatives. However, if the distribution of the re...

NfIAL CONFIDENCE INTERVALS BASED ON ONE - SAMPLE RANK - ORDER

Simultaneous confidence intervals based on the percentile bootstrap approach

This note concerns the construction of bootstrap simultaneous confidence intervals (SCI) for m parameters. Given B bootstrap samples, we suggest an algorithm with complexity of O(mB log(B)). We apply our algorithm to construct a confidence region for time dependent probabilities of progression in multiple sclerosis and for coefficients in a logistic regression analysis. Alternative normal based...

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...