The DOI matches its Crossref record; 16 of the 16 references it cites were found in a registry or an index.
Binomial Confidence Intervals
Abstract
For X with Binomial (n, p) distribution, Section 1 gives a one-page table of .95 and .99 confidence intervals for p, for n = 1, 2, …, 30. This interval is equivariant under X → n − X and p → 1 − p, has approximately equal probability tails, is approximately unbiased, has Crow's property of minimizing the sum of the n + 1 possible lengths, and each of its ends is increasing in X and decreasing in n with about as regular steps as possible. Sections 2 and 3 consider the usual approximate confidence intervals. Calculations and asymptotic results show the need for the continuity correction in these even when n is large. Because of the nonuniformity of the Binomial → Normal convergence as p → 0, these intervals fail to have their stated asymptotic confidence coefficients; simple corrections are given for this. In the approximate interval (X/n) ± {(c/√n)√[(X/n)(1 − X/n)] + 1/(2n)} it is shown that the factor (c/√n) should be replaced by c/√ (n − c 2 − 2c/√n − 1/n).
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Cited by
Approximate is Better than “Exact” for Interval Estimation of Binomial Proportions
Agresti, A., & Coull, B. A. (1998) · The American Statistician · doi:10.1080/00031305.1998.10480550 · Cited by 3,223
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Elements of Large-Sample Theory
Strawderman, W. E., Lehmann, E. L., & Holmes, S. P. (2012) · Selected Works of E. L. Lehmann · doi:10.1007/978-1-4614-1412-4_97 · Cited by 818
Suicide Risk in Bipolar Disorder During Treatment With Lithium and Divalproex
Goodwin, F. K. (2003) · JAMA · doi:10.1001/jama.290.11.1467 · Cited by 531
Confidence intervals for a binomial proportion
Vollset, S. E. (1993) · Statistics in Medicine · doi:10.1002/sim.4780120902 · Cited by 477
Metadata
- Authors
- Blyth, C. R., & Still, H. A.
- Venue
- Journal of the American Statistical Association
- Publisher
- Informa UK Limited
- Published
- 1983-03
- Volume
- 78
- Issue
- 381
- Pages
- 108-116
- ISSN
- 0162-1459 (ISSN-L)
- 1537-274X
- OpenAlex
- W2144661279
- Cited by
- 434
- References
- 16
- FWCI
- 6.33
- Type
- journal article
- Language
- en
- Open access
- closed
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