Related Experiment Video
Updated: May 19, 2026

An R-Based Landscape Validation of a Competing Risk Model
Published on: September 16, 2022
A non-iterative implementation of Tango's score confidence interval for a paired difference of proportions
Zhao Yang1, Xuezheng Sun, James W Hardin
1Quintiles, Inc., 5927 South Miami Blvd., Morrisville, NC 27560, USA. tonyyangsxz@gmail.com
Abstract:
For matched-pair binary data, a variety of approaches have been proposed for the construction of a confidence interval (CI) for the difference of marginal probabilities between two procedures. The score-based approximate CI has been shown to outperform other asymptotic CIs. Tango's method provides a score CI by inverting a score test statistic using an iterative procedure. In this paper, we propose an efficient non-iterative method with closed-form expression to calculate Tango's CIs. Examples illustrate the practical application of the new approach.
Related Concept Videos
Comparing Experimental Results: Student's t-Test
Bonferroni Test
The means of different samples are first paired in all possible combinations.
The null hypothesis of the...
Confidence Intervals
A confidence...
Interpretation of Confidence Intervals
Confidence intervals have confidence coefficients that are crucial for their interpretation. The most common confidence coefficients are 0.90, 0.95, and 0.99, which can be written as percentages–90%, 95%, and 99%, respectively.
Suppose a person calculates a confidence interval with a confidence coefficient of 0.95. In that case, they can...
Uncertainty: Confidence Intervals
Behrens–Fisher Test
This test is...

