A non-iterative accurate asymptotic confidence interval for the difference between two proportions

Statistics in Medicine

Volumn 16, Issue 12, 1997, Pages 1329-1336

  Wallenstein, Sylvan ^a  

^a MOUNT SINAI MEDICAL CENTER   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; MATHEMATICAL ANALYSIS; PROBABILITY; REGRESSION ANALYSIS; SAMPLE; STATISTICS;

BINOMIAL DISTRIBUTION; CLINICAL TRIALS; CONFIDENCE INTERVALS; DATA INTERPRETATION, STATISTICAL; HUMANS; PROBABILITY;

EID: 0030762039     PISSN: 02776715     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1097-0258(19970630)16:12<1329::AID-SIM567>3.0.CO;2-I     Document Type: Article

References (18)

1. Fleiss J. L. Statistical Methods for Rates and Proportions, 2nd edn, Wiley, New York, 1981.
2. Hauck, W. W. and Anderson, S. A. 'Comparison of large sample confidence interval methods for the difference of two binomial proportions', American Statistician, 40, 318-322 (1986).
3. Beal, S. L. 'Asymptotic confidence intervals for the difference between two binomial parameters for use with small samples', Biometrics, 43, 941-950 (1987).
4. Peskun, P. H. ' A new confidence interval method based on the normal approximation for the difference of two binomial probabilities', Journal of the American Statistical Association, 88, 656-661 (1993).
5. Mee, R. W. 'Confidence bounds for the difference between two probabilities', Biometrics, 40, 1175-1176 (1984).
6. Miettinen, O. and Nurminen, M. 'Comparative analysis of two rates', Statistics in Medicine, 4, 213-226 (1985).
7. Mantel, N. and Greenhouse, S. W. 'What is the continuity correction?', American Statistician, 22, 27-30 (1968).
8. Yates, F. 'Tests of significance for 2 × 2 contingency tables', Journal of the Royal Statistical Society, Series A, 147, 426-463 (1984).
9. 2 test', Journal of the Royal Statistical Society, Supplement, 1, 217-235 (1935).
10. 2 in 2 × 2 contingency tables', Journal of the American Statistical Association, 75, 386-394 (1980).
11. Coe, P. R. and Tamhane, A. C. 'Small sample confidence intervals for the difference, ratio and odds ratio of two success probabilities', Communications in Statistics - Simulations, 22, 925-938 (1993).
12. Santner, T. and Yamagami, S. 'Invariant small sample confidence intervals for the difference of two success probabilities', Communications in Statistics - Simulations, 22, 33-59 (1993).
13. Soms, A. P. 'Some recent results for exact confidence intervals for the difference between two proportions', Communications in Statistics - Simulations, 18, 1343-1357 (1989).
14. StatXact-3 for Windows. Software for Exact Nonparametric Inference, Cytel Software Corporation, Cambridge, MA, 1995.
15. Berger, R. L. and Boos, D. D. 'P-values maximized over a confidence space for the nuisance parameter', Journal of the Royal Statistical Association, 89, 1012-1016 (1994).
16. Suissa, S. and Shuster, J. J. 'Exact unconditional sample sizes for the 2 × 2 binomial trial', Journal of the Royal Statistical Society, Series A, 148, 317-327 (1985).
17. Campbell, I. R. 'Confidence intervals can be helpful', British Journal of Cancer, 70, 778 (1994).
18. Cortesina, G., De Stafani, A., Galeaczzi, E., Cavallo, G.P., Badellino, F., Margarino, G., Jemma, C. and Forni, G. 'Temporary regression of recurrent squamous cell carcinoma of the head and neck is achieved with a low but not with a high dose of recombinant interleukin 2 injected perilymphatically', British Journal of Cancer, 69, 572-576 (1994).