Theoretical Considerations for the Agresti-Coull Type Confidence Interval in Misclassified Binary Data

- Journal title : Communications for Statistical Applications and Methods
- Volume 18, Issue 4, 2011, pp.445-455
- Publisher : The Korean Statistical Society
- DOI : 10.5351/CKSS.2011.18.4.445

Title & Authors

Theoretical Considerations for the Agresti-Coull Type Confidence Interval in Misclassified Binary Data

Lee, Seung-Chun;

Lee, Seung-Chun;

Abstract

Although misclassified binary data occur frequently in practice, the statistical methodology available for the data is rather limited. In particular, the interval estimation of population proportion has relied on the classical Wald method. Recently, Lee and Choi (2009) developed a new confidence interval by applying the Agresti-Coull's approach and showed the efficiency of their proposed confidence interval numerically, but a theoretical justification has not been explored yet. Therefore, a Bayesian model for the misclassified binary data is developed to consider the Agresti-Coull confidence interval from a theoretical point of view. It is shown that the Agresti-Coull confidence interval is essentially a Bayesian confidence interval.

Keywords

Misclassified binary data;false-positive error;false-negative error;coverage probability;Agresti-Coull confidence interval;

Language

Korean

Cited by

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