Test-based exact confidence intervals for the difference of two binomial proportions

Biometrics

Volumn 55, Issue 4, 1999, Pages 1202-1209

  Chan, Ivan S F ^a   Zhang, Zhongxin ^a  

^a MERCK RESEARCH LABORATORIES   (United States)

Author keywords

Constrained MLE; Exact test; Two by two table; Unconditional distribution

Indexed keywords

CLINICAL TRIAL; CONFIDENCE INTERVAL; CONSTRAINED MLE; EXACT CONFIDENCE INTERVAL; EXACT TESTS; MAXIMUM-LIKELIHOOD ESTIMATE; PERFORMANCE; SAMPLE SIZES; TWO-BY-TWO TABLE; UNCONDITIONAL DISTRIBUTION;

MAXIMUM LIKELIHOOD ESTIMATION;

ARTICLE; DATA ANALYSIS; SAMPLE; STATISTICAL ANALYSIS; STATISTICS; TREATMENT OUTCOME;

EID: 0032756788     PISSN: 0006341X     EISSN: None     Source Type: Journal    
DOI: 10.1111/j.0006-341X.1999.01202.x     Document Type: Article

References (13)

1. Basu, D. (1977). On the elimination of nuisance parameters. Journal of the American Statistical Association 72, 355.
2. Berger, R. L. (1996). More powerful tests from confidence interval p-value. American Statistician 50, 314-318.
3. Berger, R. L. and Boos, D. D. (1994). P values maximized over a confidence set for the nuisance parameter. Journal of the American Statistical Association 89, 1012-1016.
4. Chan, I. S. F. (1998). Exact tests of equivalence and efficacy with a non-zero lower bound for comparative studies. Statistics in Medicine, 17, 1403-1413.
5. Clopper, C. J. and Pearson, E. S. (1934). The use of confidence or fiducial limits illustrated in the case of the binomial. Biometrika 26, 404-413.
6. Cytel Software. (1995). StatXact, Version 3. Cambridge, MA: Cytel Software.
7. Farrington, C. P. and Manning, G. (1990). Test statistics and sample size formulae for comparative binomial trials with null hypothesis of non-zero risk difference or non-unity relative risk. Statistics in Medicine 9, 1447-1454.
8. Fries, L. F., et al. (1993). Safety and immunogenicity of a recombinant protein influenza A vaccine in adult human volunteers and protective efficacy against wild-type H1N1 virus challenge. The Journal of Infectious Disease 167, 593-601.
9. Haber, M. (1986). An exact unconditional test for the 2 × 2 comparative trials. Psychological Bulletin 99, 129-132.
10. Miettinen, O. and Nurminen, M. (1985). Comparative analysis of two rates. Statistics in Medicine 4, 213-226.
11. Rohatgi, V. K. (1984). Statistical Inference. New York: John Wiley.
12. 2 in 2 × 2 contingency Tables. Journal of the American Statistical Association 75, 386-394.
13. Suissa, S. and Shuster, J. J. (1985). Exact unconditional sample sizes for the 2 × 2 binomial trial. Journal of the Royal Statistical Society, Series A 148, 317-327.