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Confidence Intervals for the Ratio of Two Binomial Proportions
Abstract
Sometimes the ratio of two binomial proportions is the parameter of major interest, for instance as the risk ratio in a two-group cohort study (Fleiss, 1973) or as the likelihood ratio for a diagnostic test procedure (McNeill, Keeler and Adelstein, 1975). Let X and Y be independent binomial variates based on sample sizes m and n and parameters p' and P2, respectively. Let 0 = Pm/P2. We consider the construction of confidence intervals for 0. Santner and Snell (1980) have proposed a nonanalytical procedure which guarantees a lower bound on the confidence coefficient of the 1 a interval for 0. Their algorithm is usable for small m and n but may produce conservative intervals. In ?2, an analytical method for obtaining approximate confidence intervals for 0 is proposed and compared to the one recommended by Katz et al. (1978).
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Statistical Methods for Rates and Proportions
Fleiss, J. L., Levin, B., & Paik, M. C. (2003) · Wiley Series in Probability and Statistics · doi:10.1002/0471445428 · Cited by 18,646
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STIELL, I., & WELLS, G. (1999) · Annals of Emergency Medicine · doi:10.1016/s0196-0644(99)70309-4 · Cited by 571
Stiell, I. G. (1993) · JAMA · doi:10.1001/jama.269.9.1127 · Cited by 537
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Metadata
- Authors
- Koopman, P. A. R.
- Venue
- Biometrics
- Publisher
- JSTOR
- Published
- 1984-06
- Volume
- 40
- Issue
- 2
- Pages
- 513
- ISSN
- 0006-341X (ISSN-L)
- OpenAlex
- W2338257668
- Cited by
- 272
- References
- 1
- FWCI
- 3.49
- Type
- journal article
- Language
- en
- Open access
- closed
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