Published
2008-07-01
INTERVALOS DE CONFIANZA E INTERVALOS DE CREDIBILIDAD PARA UNA PROPORCIÓN
CONFIDENCE INTERVALS AND CREDIBILITY INTERVALS FOR A PROPORTION
Keywords:
proporciones, intervalos de confianza, métodos bayesianos, intervalos de credibilidad, cobertura (es)Proportions, Confidence intervals, Bayesian methods, Credibility interval, Coverage (en)
Downloads
En este artículo se evalúa y se compara el comportamiento de diferentes metodologías empleadas para la obtención de intervalos de confianza de credibilidad, analizando sus probabilidades de cobertura estimada, su longitud esperada y la varianza de su longitud. Definidos estos tres conceptos, la comparación entre los intervalos considerados se desarrolla mediante procesos computacionales utilizando el paquete estadístico R. En este proceso, además de la verificación de conclusiones conocidas, como el mal comportamiento del intervalo de Wald y la sobrecobertura del intervalo exacto, se determinan, entre otros aspectos, características de los intervalos relacionadas con la variabilidad de su longitud.
Different methodologies for obtaining confidence and credibility intervals for a proportion are studied in this paper. Expected coverage, length and length variance of the interval are defined and used as a means for comparing the intervals produced by each methodology presented. These indicators were calculated using the statistical package R, used to characterize each interval; furthermore, some known properties, such as Wald interval’s proportion undercoverage and Exact interval’s overcoverage are verified in this study.
Article abstract page views
424
Downloads
Download data is not yet available.
How to Cite
Cepeda-Cuervo, E., Aguilar, W., Cervantes, V., Corrales, M., Díaz, I., & Rodríguez, D. (2008). CONFIDENCE INTERVALS AND CREDIBILITY INTERVALS FOR A PROPORTION. Revista Colombiana De Estadística, 31(2), 211-228. https://revistas.unal.edu.co/index.php/estad/article/view/29741
License
Copyright (c) 2008 Revista Colombiana de Estadística
This work is licensed under a Creative Commons Attribution 4.0 International License.
- Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
- Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
- Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See The Effect of Open Access).
