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http://dx.doi.org/10.5351/KJAS.2013.26.6.1033

Efficiency of Variance Estimators for Two-stage PPS Systematic Sampling  

Kim, Young-Won (Department of Statistics, Sookmyung Women's University)
Kim, Yeny (Department of Statistics, Sookmyung Women's University)
Han, Hye-Eun (Department of Statistics, Sookmyung Women's University)
Kwak, Eun-Sun (Department of Statistics, Sookmyung Women's University)
Publication Information
The Korean Journal of Applied Statistics / v.26, no.6, 2013 , pp. 1033-1041 More about this Journal
Abstract
In this paper, we investigate several variance estimators for pps systematic sampling. Unfortunately, there is no unbiased variance estimators for a systematic sample because systematic sampling can be regarded as a random selection of one cluster. This study provides guidance on which variance estimator may be more appropriate than others in several circumstances. We judge the efficiency of variance estimators for systematic sampling based on of their relative biases and relative mean square error. Also, we investigate variance estimation problems for two-stage systematic sampling applied for the Food Raw Material Consumption Survey and the Establishment Labor Force Survey simulation study, in order to consider the popular two-stage pps systematic sample design for establishment and household survey in Korea.
Keywords
Two-stage systematic sampling; variance estimator; pps systematic sampling; relative bias; mean square error;
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  • Reference
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