Robust Ancova: Heteroscedastic Confidence Intervals that Have Some Specified Simultaneous Probability Coverage

Robust ANCOVA: Confidence Intervals That Have Some Specified Simultaneous Probability Coverage When There Is Curvature And Two Covariates

The Regression Smoother LOWESS: A Confidence Band That Allows Heteroscedasticity And Has Some Specified Simultaneous Probability Coverage

Simultaneous adjustment of bias and coverage probabilities for confidence intervals

A new method is proposed for the correction of confidence intervals when the original interval does not have the correct nominal coverage probabilities in the frequentist sense. The proposed method is general and does not require any distributional assumptions. It can be applied to both frequentist and Bayesian inference where interval estimates are desired. We provide theoretical results for t...

Robust misinterpretation of confidence intervals.

Null hypothesis significance testing (NHST) is undoubtedly the most common inferential technique used to justify claims in the social sciences. However, even staunch defenders of NHST agree that its outcomes are often misinterpreted. Confidence intervals (CIs) have frequently been proposed as a more useful alternative to NHST, and their use is strongly encouraged in the APA Manual. Nevertheless...

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...