Robust confidence intervals for a proportion using ranked-set sampling

Autor: Yimin Zhang, Jesse Frey
Rok vydání: 2021
Předmět:
Zdroj: Journal of the Korean Statistical Society. 50:1009-1028
ISSN: 2005-2863
1226-3192
DOI: 10.1007/s42952-020-00103-3
Popis: We develop two new approximate confidence interval methods for estimating a population proportion using balanced ranked-set sampling (RSS). Unlike existing RSS-based methods, the new methods control the coverage probability well not just under perfect rankings, but also under imperfect rankings. One method uses a Wilson-type interval, and the other is based on making a mid-P adjustment to a Clopper–Pearson-type interval. Both methods rely on a new maximum-likelihood-based method for estimating the proportions in the judgment strata when the overall proportion is given, and both can be computed even for large sample sizes.
Databáze: OpenAIRE