Nonparametric Ranked-set Sampling Confidence Intervals for Quantiles of a Finite Population |
| |
Authors: | Jayant V Deshpande Jesse Frey Omer Ozturk |
| |
Institution: | (1) Department of Statistics, The Ohio State University, 1958 Neil Ave, Columbus, OH 43210, USA |
| |
Abstract: | Ranked-set sampling from a finite population is considered in this paper. Three sampling protocols are described, and procedures
for constructing nonparametric confidence intervals for a population quantile are developed. Algorithms for computing coverage
probabilities for these confidence intervals are presented, and the use of interpolated confidence intervals is recommended
as a means to approximately achieve coverage probabilities that cannot be achieved exactly. A simulation study based on finite
populations of sizes 20, 30, 40, and 50 shows that the three sampling protocols follow a strict ordering in terms of the average
lengths of the confidence intervals they produce. This study also shows that all three ranked-set sampling protocols tend
to produce confidence intervals shorter than those produced by simple random sampling, with the difference being substantial
for two of the protocols. The interpolated confidence intervals are shown to achieve coverage probabilities quite close to
their nominal levels. Rankings done according to a highly correlated concomitant variable are shown to reduce the level of
the confidence intervals only minimally. An example to illustrate the construction of confidence intervals according to this
methodology is provided. |
| |
Keywords: | Order statistics Interpolated confidence intervals Median Efficiency Sampling designs |
本文献已被 SpringerLink 等数据库收录! |
|