Mid‐p confidence intervals for the poisson expectation
Authors:
- 15 November 1994
- journal article
- research article
- Published by Wiley in Statistics in Medicine
- Vol. 13 (21) , 2189-2203
Abstract
Conventionally a confidence interval (CI) for the standardized mortality ratio is set using the conservative CI for a Poisson expectation, μ. Employing the mid‐P argument we present alternative CIs that are shorter than the conventional ones. The mid‐P intervals do not guarantee the nominal confidence level, but the true coverage probability is only lower than the nominal level for a few short ranges of μ. The implications for mid‐P confidence intervals of various proposed definitions of two‐sided tests for discrete data are discussed.Keywords
This publication has 18 references indexed in Scilit:
- A quasi‐exact test for comparing two binomial proportionsStatistics in Medicine, 1991
- Doubling the one‐sided p‐value in testing independence in 2 × 2 tables against a two‐sided alternativeStatistics in Medicine, 1988
- Sensitivity of Fisher's exact test to minor perturbations in 2 × 2 contingency tablesStatistics in Medicine, 1986
- A Modified Exact Test for 2 × 2 Contingency TablesBiometrical Journal, 1986
- P‐values For Discrete Test StatisticsBiometrical Journal, 1986
- Test of Significance for 2 × 2 Contingency TablesJournal of the Royal Statistical Society. Series A (General), 1984
- The role of significance testing: some data with a messageBiometrika, 1969
- Significance Tests in Discrete DistributionsJournal of the American Statistical Association, 1961
- CONFIDENCE INTERVALS FOR THE EXPECTATION OF A POISSON VARIABLEBiometrika, 1959
- EXTENSION OF THE NEYMAN-PEARSON THEORY OF TESTS TO DISCONTINUOUS VARIATESBiometrika, 1950