Generalized Confidence Intervals and Fiducial Intervals for Some Epidemiological Measures
AbstractFor binary outcome data from epidemiological studies, this article investigates the interval estimation of several measures of interest in the absence or presence of categorical covariates. When covariates are present, the logistic regression model as well as the log-binomial model are investigated. The measures considered include the common odds ratio (OR) from several studies, the number needed to treat (NNT), and the prevalence ratio. For each parameter, confidence intervals are constructed using the concepts of generalized pivotal quantities and fiducial quantities. Numerical results show that the confidence intervals so obtained exhibit satisfactory performance in terms of maintaining the coverage probabilities even when the sample sizes are not large. An appealing feature of the proposed solutions is that they are not based on maximization of the likelihood, and hence are free from convergence issues associated with the numerical calculation of the maximum likelihood estimators, especially in the context of the log-binomial model. The results are illustrated with a number of examples. The overall conclusion is that the proposed methodologies based on generalized pivotal quantities and fiducial quantities provide an accurate and unified approach for the interval estimation of the various epidemiological measures in the context of binary outcome data with or without covariates. View Full-Text
Scifeed alert for new publicationsNever miss any articles matching your research from any publisher
- Get alerts for new papers matching your research
- Find out the new papers from selected authors
- Updated daily for 49'000+ journals and 6000+ publishers
- Define your Scifeed now
Bebu, I.; Luta, G.; Mathew, T.; Agan, B.K. Generalized Confidence Intervals and Fiducial Intervals for Some Epidemiological Measures. Int. J. Environ. Res. Public Health 2016, 13, 605.
Bebu I, Luta G, Mathew T, Agan BK. Generalized Confidence Intervals and Fiducial Intervals for Some Epidemiological Measures. International Journal of Environmental Research and Public Health. 2016; 13(6):605.Chicago/Turabian Style
Bebu, Ionut; Luta, George; Mathew, Thomas; Agan, Brian K. 2016. "Generalized Confidence Intervals and Fiducial Intervals for Some Epidemiological Measures." Int. J. Environ. Res. Public Health 13, no. 6: 605.
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.