DOI QR코드

DOI QR Code

Sample size determination using design effect formula for repeated surveys

반복조사에서 설계요소를 반영한 표본수 결정

  • Park, Inho (Department of Statistics, Pukyong National University) ;
  • Hwang, Hyeon Gil (Department of Statistics, Pukyong National University)
  • Received : 2019.06.26
  • Accepted : 2019.07.26
  • Published : 2019.08.31

Abstract

We propose a method for sample size determination using design effect formulas when a sample is resigned for a repeated survey. The proposed method enables the determination of the sample size by incorporating the impact of various design components to the sampling error through design effect formulas that are applicable under multistage sampling design and stratified multistage sampling designs.

본 연구에서는 반복조사의 표본재설계에서 설계요소를 반영한 표본수 결정 방법을 제안하였다. 제안된 방법은 다단추출과 층화다단추출 등에 적용할 수 있으며 시점간 모집단 구성 변화, 집락효과, 표본할당 등의 주된 설계요소가 갖는 표본오차에 대한 영향력을 구분하여 반영하므로 보다 전략적인 표본수 결정이 가능할 수 있다.

Keywords

References

  1. Chen, S. and Rust, K. (2017). An extension of Kish's formula for design effects to two- and three-stage designs with stratification, Journal of Survey Statistics and Methodology, 5, 111-130. https://doi.org/10.1093/jssam/smw036
  2. Gabler, S., Hader, S., and Lynn, P. (2006). Design Effects for Multiple Design Samples, Survey Methodology, 32, 115-120.
  3. Hwang, H. G. (2019). Evaluation of design effect models for complex surveys (Master's Thesis), Pukyong National University, Busan.
  4. Kim, K. S. (2012). Sample size determination in repeated surveys with varying population sizes, Survey Research, 11, 159-174.
  5. Kish, L. (1965). Survey Sampling, John Wiley & Sons, New York.
  6. Kish, L. (1987). Weighting in Deft2, Survey Statistician, 26-30.
  7. Kish, L. (1995). Methods for design effects, Journal of Official Statistics, 11, 55-77.
  8. Lee, H. (2012). How should one find out the contributions to the design effect (variance) made by each of the design components (stratification, clustering, weighting) of a complex sample design?, Survey Statistician, 66, 16-20.
  9. Park, H. N. (1989). Statistical Survey (2nd ed.), Youngji Publishers, Seoul.
  10. Park, I. (2014). A study on design effect models for complex sample survey, Journal of the Korean Data and Information Science Society, 25, 523-531. https://doi.org/10.7465/jkdi.2014.25.3.523
  11. Park, I. (2015). Understanding complex design features via design effect models, The Korean Journal of Applied Statistics, 28, 1217-1225. https://doi.org/10.5351/KJAS.2015.28.6.1217
  12. Park, I. (2016). Choosing clusters for two-stage household surveys, Journal of the Korean Data and Information Science Society, 27, 363-372. https://doi.org/10.7465/jkdi.2016.27.2.363
  13. Rural Development Administration (2018). 2018 Survey on Rural Well-Being.
  14. Rust, K. and Broene, P. (2010). Design effects for totals in multi-stage samples. In Proceedings of the Joint Statistical Meetings, Section on Survey Research Methods, American Statistical Association, 2174-2181.
  15. Statistics Korea (2007). Review of the Sample Redesign of Household Surveys.