title: Estimators and confidence intervals for the proportion using binary auxiliary information with applications to pharmaceutical studies.
abstract: Estimation of a proportion is commonly used in areas such as medicine, biopharmaceutical experiments, etc. Estimation of a proportion using auxiliary information has not been investigated in the literature. Ratio estimators of the population proportion and two-sided confidence intervals based upon auxiliary information are derived in this paper. Real data extracted from the Spanish National Health Survey are used to demonstrate the application of the proposed methods in the estimation of prevalences. Results derived from simulation studies show that proposed estimators are more efficient than the traditional estimator. Proposed confidence intervals outperform the alternative methods, especially in terms of interval width. A study on patients with hypertension is also considered to calculate various estimators and confidence intervals.
authors: Department of Statistics and Operational Research, University of Granada, Granada, Spain. mrueda@ugr.es
authors: M
authors: M
authors: Rueda
authors: J F
authors: JF
authors: Muñoz
authors: A
authors: A
authors: Arcos
authors: E
authors: E
authors: Álvarez
authors: S
authors: S
authors: Martínez
mesh_terms: D002986:Clinical Trials as Topic / Q000706:statistics & numerical data*; D003198:Computer Simulation; D016001:Confidence Intervals; D006801:Humans; D006973:Hypertension / Q000188:drug therapy*; D015233:Models, Statistical; D009010:Monte Carlo Method; D015999:Multivariate Analysis; D012107:Research Design / Q000706:statistics & numerical data*; D012494:Sampling Studies; D013223:Statistics as Topic