Approximate Recall Confidence Intervals

Goodness-of-fit and confidence intervals of approximate models

To test whether the model fits the data well, a goodness-of-fit (GOF) test can be used. The chi-square GOF test is often used to test the null hypothesis that a function describes the mean of the data well. The null hypothesis with this test is rejected too often, however, because the nominal significance level (usually 0.05) is exceeded. Alternatively, the level of Hotelling’s test is accurate...

Two-tailed approximate confidence intervals for the ratio of proportions

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...

How confidence intervals become confusion intervals

BACKGROUND Controversies are common in medicine. Some arise when the conclusions of research publications directly contradict each other, creating uncertainty for frontline clinicians. DISCUSSION In this paper, we review how researchers can look at very similar data yet have completely different conclusions based purely on an over-reliance of statistical significance and an unclear understand...

Probabilistic Intervals of Confidence

Abstract: High accuracy should not be the only goal of classification: information concerning probable alternatives diagnoses, probability of these diagnoses, evaluation of confidence in classification, are also important. Neural models are used just to obtain the winner class but do not provide any justification for their recommendations – they work as black boxes. A method which determine con...