On Statistical Inference of Stratified Population Mean with Bootstrap

Title & Authors
On Statistical Inference of Stratified Population Mean with Bootstrap
Heo, Tae-Young; Lee, Doo-Ri; Cho, Joong-Jae;

Abstract
In a stratified sample, the sampling frame is divided into non-overlapping groups or strata (e.g. geographical areas, age-groups, and genders). A sample is taken from each stratum, if this sample is a simple random sample it is referred to as stratified random sampling. In this paper, we study the bootstrap inference (including confidence interval) and test for a stratified population mean. We also introduce the bootstrap consistency based on limiting distribution related to the plug-in estimator of the population mean. We suggest three bootstrap confidence intervals such as standard bootstrap method, percentile bootstrap method and studentized bootstrap method. We also suggest a bootstrap test method computing the $\small{ASL_{boot}}$(Achieved Significance Level). The results of estimation are verified using simulation.
Keywords
Stratified random sampling;bootstrap consistency;bootstrap confidence interval;bootstrap test;$\small{ASL_{boot}}$;
Language
Korean
Cited by
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