Unconditional small-sample confidence intervals for the odds ratio

被引:62
作者
Agresti, A [1 ]
Min, YY [1 ]
机构
[1] Univ Florida, Dept Stat, Gainesville, FL 32611 USA
关键词
binomial distribution; conditional tests; exact inference; two-by-two contingency table;
D O I
10.1093/biostatistics/3.3.379
中图分类号
Q [生物科学];
学科分类号
07 ; 0710 ; 09 ;
摘要
The traditional approach to 'exact' small-sample interval estimation of the odds ratio for binomial, Poisson, or multinomial samples uses the conditional distribution to eliminate nuisance parameters. This approach can be very conservative. For two independent binomial samples, we study an unconditional approach with overall confidence level guaranteed to equal at least the nominal level. With small samples this interval tends to be shorter and have coverage probabilities nearer the nominal level.
引用
收藏
页码:379 / 386
页数:8
相关论文
共 17 条
[1]   On small-sample confidence intervals for parameters in discrete distributions [J].
Agresti, A ;
Min, YY .
BIOMETRICS, 2001, 57 (03) :963-971
[2]  
AGRESTI A, 2001, 2001016 U FLOR DEP S
[3]  
Aitkin M., 1989, STAT MODELLING GLIM
[4]  
Baptista J., 1977, Applied Statistics, V26, P214, DOI 10.2307/2347041
[5]   P-VALUES MAXIMIZED OVER A CONFIDENCE SET FOR THE NUISANCE PARAMETER [J].
BERGER, RL ;
BOOS, DD .
JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION, 1994, 89 (427) :1012-1016
[6]   Test-based exact confidence intervals for the difference of two binomial proportions [J].
Chan, ISF ;
Zhang, ZX .
BIOMETRICS, 1999, 55 (04) :1202-1209
[7]   SMALL SAMPLE CONFIDENCE-INTERVALS FOR THE DIFFERENCE, RATIO AND ODDS RATIO OF 2 SUCCESS PROBABILITIES [J].
COE, PR ;
TAMHANE, AC .
COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION, 1993, 22 (04) :925-938
[8]  
GART JJ, 1966, J ROY STAT SOC B, V28, P164
[9]   COMPARATIVE-ANALYSIS OF 2 RATES [J].
MIETTINEN, O ;
NURMINEN, M .
STATISTICS IN MEDICINE, 1985, 4 (02) :213-226
[10]   On the problem of confidence intervals [J].
Neyman, J .
ANNALS OF MATHEMATICAL STATISTICS, 1935, 6 :111-116