Research Article

A non-iterative implementation of Tango's score confidence interval for a paired difference of proportions

  1. Zhao Yang1,*,
  2. Xuezheng Sun2,
  3. James W. Hardin3

Article first published online: 15 AUG 2012

DOI: 10.1002/sim.5561

Issue

Statistics in Medicine

Statistics in Medicine

Volume 32, Issue 8, pages 1336–1342, 15 April 2013

Additional Information

How to Cite

Yang, Z., Sun, X. and Hardin, J. W. (2013), A non-iterative implementation of Tango's score confidence interval for a paired difference of proportions. Statist. Med., 32: 1336–1342. doi: 10.1002/sim.5561

Author Information

  1. 1

    Quintiles, Inc., Morrisville, NC, U.S.A.

  2. 2

    Department of Epidemiology, Gillings School of Global Public Health, University of North Carolina at Chapel Hill, Chapel Hill, NC, U.S.A.

  3. 3

    Department of Epidemiology and Biostatistics, Arnold School of Public Health and Institute for Families in Society, University of South Carolina, Columbia, SC, U.S.A.

* Correspondence to: Zhao Yang, Quintiles, Inc., 5927 South Miami Blvd., Morrisville, NC 27560, U.S.A.
E-mail: tonyyangsxz@gmail.com

Publication History

  1. Issue published online: 14 MAR 2013
  2. Article first published online: 15 AUG 2012
  3. Manuscript Accepted: 18 JUL 2012
  4. Manuscript Received: 9 MAR 2012

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Keywords:

  • marginal probability;
  • matched-pair binary data;
  • confidence interval;
  • diagnostic medicine;
  • McNemar's test;
  • Tango's method

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. Copyright © 2012 John Wiley & Sons, Ltd.

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