Journal of the Korean Data and Information Science Society

The Korean Data and Information Science Society (한국데이터정보과학회)
권호 표지

A comparison study on the estimation of the relative risk for the unemployed rate in small area

소지역의 실업률에 대한 상대위험도의 추정에 관한 비교연구

  • Park, Jong-Tae (Department of Digital Information and Statistics, Pyeongtaek University)
  • 박종태 (평택대학교 디지털응용정보학과)
  • Published : 2009.03.31
Download PDF
⟨ Previous Next ⟩

Abstract

In this study, we suggest the estimation method of the relative risk for the unemployment statistics of a small area such as si, gun, gu in Korea. The considered method are the usual pooled estimator, weighted estimator with the inverse of log-variance as weights, and the Jackknife estimator. And we compare with the efficiency of the three estimators by estimating the bias and mean square errors using real data from the 2002 Economically Active Population Survey of Gyeonggi-do. We compute the unemployed rate of male and female in small areas, and then estimate the common relative risk for the unemployed rate between male and female. Also, the stability and reliability of the three estimators for the common relative risk was evaluated using the RB(relative bias) and the RRMSE(relative root mean square error) of these estimators. Finally, the Jackknife estimator turned out to be much more efficient than the other estimators.

국내의 행정구역상 시군구 등과 같은 소지역에 있어서 실업률에 대한 남녀별 공통 상대위험도를 추정하는데, 추정방법으로 단순한 합동추정, 울프 방법에 기초한 가중추정과 잭나이프 추정들을 고려하고 이 추정 방법들의 효율성을 편의와 평균제곱오차의 개념을 통해서 비교하고자 한다. 이를 위해 2002년 12월 경기지역의 경제활동인구조사 자료를 이용하여 이 지역 내의 24개 시군단위 소지역들의 남녀별 실업률에 대한 상대위험도의 편의 및 평균제곱오차가 본 연구에서 제시된 추정절차에 의해 추정된다. 또한, 이들 추정치들의 안정성과 신뢰성은 상대편의와 상대오차제곱근을 통하여 비교된다. 추정결과 잭나이프 추정이 다른 두 추정들에 비해 매우 효율적임을 보였다.

Keywords

References

  1. Agresti, A. (1996). An introduction to categorical data analysis, Wiley, New York.
  2. Chung, Y. S., Lee, K. O. and Lee, W. I. (2003). Design-based small area estimation for the Korean economically active population survey. The Korean Journal of Applied Statistics, 16, 1-4. https://doi.org/10.5351/KJAS.2003.16.1.001
  3. Lee, K. O. (2000). On application of small area estimation to the unemployment statistics of si-gun-gu. The Korean Journal of Applied Statistics, 13, 275-286.
  4. Lee, S. E. (2001). Bayes prediction for small area estimation. The Korean Communications in Statistics, 8, 407-416.
  5. Lee, S. E. and Jin, Y. (1996). Evaluating stability of small area estimates with CVs in 1994 EAP survey. Journal of Statistical Analysis, 1, 23-40.
  6. Lee, S. E. and Park, J. T. (1999). Empirical study on estimating the totals of small area. Bulletin of the International Statistical Institute in 52nd ISI Conference, 213-214.
  7. Miller, R. G. (1974). The Jackknife - a review. Biometrika, 61, 1-15.
  8. Park, J. T. (2006). On estimating the odds ratio between male and female unemployment rate in small area. Journal of the Korean Data & Information Science Society, 17, 1029-1039.
  9. Park, J. T. and Lee, S. E. (2001). A comparative study of small area estimation methods. Journal of the Korean Data & Information Science Society, 12, 47-55.
  10. Woolf, B. (1955). On estimating the relation between blood group and disease. Annals of Human Genetics, 19, 251-253. https://doi.org/10.1111/j.1469-1809.1955.tb01348.x
  11. Yang, Y. C., Lee, S. E. and Shin, M. W. (2003). Small area estimation of unemployment using Kalman Filter method. The Korean Journal of Applied Statistics, 16, 239-246. https://doi.org/10.5351/KJAS.2003.16.2.239