Confidence intervals for two sample binomial distribution

Journal of Statistical Planning and Inference

Volumn 130, Issue 1-2, 2005, Pages 359-375

  Brown, Lawrence ^a   Li, Xuefeng ^b  

^a UNIVERSITY OF PENNSYLVANIA   (United States)

^b CENTER FOR DRUG EVALUATION AND RESEARCH   (United States)

Author keywords

Binomial distribution; Confidence intervals; Jeffrey's prior; Newcombe's interval; Two sample problem; Wald interval

Indexed keywords

EID: 11244322279     PISSN: 03783758     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jspi.2003.09.039     Document Type: Article

References (22)

1. A. Agresti B. Caffo Simple and effective confidence intervals for proportions and differences of proportions result from adding two successes and two failures Amer. Statist. 54 4 2000 280-288
2. G.A. Barnard Significance test for 2 × 2 tables Biometrica 34 1947 123-138
3. R.D. Boschloo Raised conditional level of significance for the 2 × 2 table when testing for the equality of two probabilities Statist. Neerlandica 21 1 1970 1-35
4. L.D. Brown T. Cai A. DasGupta Interval estimation for a binomial proportion (with discussion) Statist. Sci. 16 2001 101-133
5. L.D. Brown T. Cai A. DasGupta Confidence intervals for a binomial proportion and asymptotic expansions Ann. Statist. 30 2002 160-201
6. L.D. Brown T. Cai A. DasGupta Interval estimation in exponential families Stat. Sinica 13 2003 19-50
7. H. Chernoff Another view of the classical problem of comparing two probabilities J. Iranian Statist. Soc 1 1-2 2002 35-53
8. D.R. Cox Some simple approximate tests for Poisson variates Biometrika 40 1953 354-360
9. R.A. Fisher The Design of Experiments 1935 Oliver & Boyd Edinburgh
10. M.F. Freeman J.W. Turkey Translations related to the angular and square root Ann. Math. Statist. 21 1950 607-611
11. J.J. Gart Alternative analysis of contingency tables J. Roy. Statist. Soc. B 28 1966 164-179
12. L.A. Goodman Simultaneous confidence intervals for contrast among multinomial populations Ann. Math. Statist. 35 1964 716-725
13. M. Haber A modified exact test for 2 × 2 contingency tables Biometrical 28 1986 455-463
14. J.V. Howard The 2 × 2 table: A discussion from a Bayesian viewpoint Statist. Sci. 13 1998 351-367
15. D. Liddell Practical tests of 2 × 2 contingency tables The Statistician 25 1976 295-304
16. R. Newcombe Interval estimation for the difference between independent proportions: Comparison of eleven methods Statist. Med. 17 1998 873-890
17. E.S. Pearson The choice of statistical tests illustrated on the interpretation of data classed in a 2 × 2 table Biometrika 34 1947 139-167
18. T. Tango Equivalence test and confidence interval for the difference in proportions for the paired-sample design Statist. Med. 17 1998 891-908
19. S.S. Wilks The likelihood test of independence in contingency tables Ann. Math. Statist. 6 1935 190-196
20. E.B. Wilson Probable inference, the law of succession, and statistical inference J. Amer. Statist. Assoc. 22 1927 209-212
21. F. Yates Contingency tables involving small numbers and the χ 2 -test J. Roy. Statist. Soc. Suppl. 1 1934 217-235
22. G.U. Yule M.G. Kendall An Introduction to the Theory of Statistics 14th ed 1950 Hafner Publishing Co. New York, NY