Confidence intervals of the simple difference between the proportions of a primary infection and a secondary infection, given the primary infection

Biometrical Journal

Volumn 42, Issue 1, 2000, Pages 59-69

  Lui, Kung Jong ^a  

^a SAN DIEGO STATE UNIVERSITY   (United States)

Author keywords

Coverage probability; Fieller's Theorem; Interval Estimation; Likelihood ratio test

Indexed keywords

FINANCIAL DATA PROCESSING; STATISTICS;

ASYMPTOTICS; CONFIDENCE INTERVAL; COVERAGE PROBABILITIES; FIELLER'S THEOREM; INTERVAL ESTIMATION; INTERVAL ESTIMATORS; LIKELIHOOD RATIO TESTS; SIMPLE++; TEST STATISTICS; WALD TEST;

STATISTICAL TESTS;

EID: 0040735813     PISSN: 03233847     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1521-4036(200001)42:1<59::AID-BIMJ59>3.0.CO;2-A     Document Type: Article

References (17)

1. AGRESTI, A., 1990: Categorical Data Analysis. Wiley, New York.
2. ANBAR, D., 1983: On estimating the difference between two probabilities, with special reference to clinical trials. Biometrics 39, 257-262.
3. ANBAR, D., 1984: Confidence bounds for the difference between two probabilities. Biometrics (reply to letter) 40, 1176.
4. ANDERSON, T. W., 1958: An Introduction to Multivariate Statistical Analysis. Wiley, New York.
5. BEAL, S. L., 1987: Asymptotic confidence intervals for the difference between two binomial parameters for use with small samples. Biometrics 43, 941-950.
6. CASELLA, G. and BERGER, R. L., 1990: Statistical Inference. Duxbury, Belmont, California.
7. HAUCK, W. W. and ANDERSON, S., 1986: A comparison of large sample confidence interval methods for the difference of two binomial probabilities. The American Statistician 40, 318-322.
8. KATZ, D., BAPTISTA, J., AZEN, S. P., and PIKE, M. C., 1978: Obtaining confidence intervals for the risk ratio in cohort studies. Biometrics 34, 469-474.
9. LUI, K.-J., 1995: Confidence intervals for the risk ratio in cohort studies under inverse sampling. Biometrical Journal 37, 965-971.
10. LUI, K.-J., 1996: Notes on Confidence limits for the odds ratio in case-control studies under inverse sampling. Biometrical Journal 38, 221-229.
11. LUI, K.-J., 1998: Interval estimation of risk ratio between the secondary infection given the primary infection and the primary infection. Biometrics 54, 706-711.
12. MEE, R. W., 1984: Confidence bounds for the difference between two probabilities. Biometrics 40, 1175-1176.
13. MIETTINEN, O. and NURMINEN, M., 1985: Comparison analysis of two rates. Statistics in Medicine 4, 213-226.
14. 2 in 2 × 2 contingency tables. Journal of the American Statistical Association 73, 386-394.
15. THOMAS, D. G. and GART, J. J., 1977: A table of exact confidence limits for differences and ratios of two proportions and their odds ratios. Journal of the American Statistical Association 72, 73-76.
16. SAS Institute, Inc., 1990: SAS Language, Version 6, 1st edition. Gary, North Carolina.
17. WALLENSTEIN, S., 1997: A non-iterative accurate asymptotic confidence interval for the difference between two proportions. Statistics in Medicine 16, 1329-1336.