A simple alternative confidence interval for the difference between two proportions

Controlled Clinical Trials

Volumn 25, Issue 1, 2004, Pages 3-12

  Zou, Guangyong ^a,b   Donner, Allan ^b  

^a ROBARTS RESEARCH INSTITUTE   (Canada)

^b UNIVERSITY OF WESTERN ONTARIO   (Canada)

Author keywords

Confidence interval; Fisher's z transformation; Number needed to treat; Risk difference; Score method

Indexed keywords

ARTICLE; CONFIDENCE INTERVAL; MATHEMATICAL ANALYSIS; STATISTICAL ANALYSIS;

EID: 1242316193     PISSN: 01972456     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cct.2003.08.010     Document Type: Article

References (19)

1. 2 in 2×2 contingency tables. J. Am. Stat. Assoc. 75:1980;386-394.
2. Hauck W.W., Anderson S. A comparison of large-sample confidence interval methods for the difference of two binomial probabilities. Am. Stat. 40:1986;318-322.
3. Agresti A. Dealing with discreteness: making 'exact' confidence intervals for proportions, differences of proportions and odds ratios more exact. Stat. Methods Med. Res. 12:2003;3-21.
4. Laupacis A., Sackett D.L., Roborts R.S. An assessment of clinically useful measures of the consequences of treatment. N. Engl. J. Med. 318:1988;1728-1733.
5. Altman D.G. Confidence intervals for the number needed to treat. BMJ. 317:1998;1309-1312.
6. Newcombe R.G. Interval estimation for the difference between independent proportions: comparison of eleven methods. Stat. Med. 17:1998;783-790.
7. Wilson E.B. Probable inference, the law of succession, and statistical inference. J. Am. Stat. Assoc. 22:1927;209-212.
8. Bender R. Calculating confidence intervals for the number needed to treat. Control Clin. Trials. 22:2001;102-110.
9. Chen X. A quasi-exact method for the confidence intervals of the difference of two independent binomial proportions in small sample cases. Stat. Med. 21:2002;943-956.
10. Agresti A., Caffo B. Simple and effective confidence intervals for proportions result from adding two success and two failures. Am. Stat. 54:2000;280-288.
11. Pan W. Approximate confidence intervals for one proportion and difference of two proportions. Comput. Stat. Data Anal. 40:2002;143-157.
12. Satterthwaite F.F. Synthesis of variance. Psychometrika. 6:1941;309-316.
13. Lachin J.M. Biostatistical Methods: The Assessment of Relative Risks. 2000;Wiley, New York.
14. Fisher R.A. Frequency distributions of the values of the correlation coefficient in samples from an infinitely large populations. Biometrika. 10:1915;507-521.
15. Simonoff J.S., Hochberg Y., Reiser B. Response to Brownie's reader reaction. Biometrics. 44:1988;621.
16. Newcombe R.G. Improved confidence intervals for the difference between binomial proportions based on paired data. Stat. Med. 17:1998;2635-2650.
17. Donner A., Zou G. Interval estimation for a difference between intraclass kappa statistics. Biometrics. 58:2002;209-215.
18. Donner A., Klar N. Confidence interval construction for effect measures arising from cluster randomization trials. J. Clin. Epidemiol. 46:1993;123-131.
19. Wacholder S. Binomial regression in GLIM: estimating risk ratios and risk differences. Am. J. Epidemiol. 123:1986;174-184.