Communications for Statistical Applications and Methods

The Korean Statistical Society (한국통계학회)
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Variance Estimation for Imputed Survey Data using Balanced Repeated Replication Method

  • Lee, Jun-Suk (Department of Statistics, Sungkyungkwan University) ;
  • Hong, Tae-Kyong (Department of Statistics, Sungkyungkwan University) ;
  • Namkung, Pyong (Department of Statistics, Sungkyungkwan University)
  • Published : 2005.08.01
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Abstract

Balanced Repeated Replication(BRR) is widely used to estimate the variance of linear or nonlinear estimators from complex sampling surveys. Most of survey data sets include imputed missing values and treat the imputed values as observed data. But applying the standard BRR variance estimation formula for imputed data does not produce valid variance estimators. Shao, Chen and Chen(1998) proposed an adjusted BRR method by adjusting the imputed data to produce more accurate variance estimators. In this paper, another adjusted BRR method is proposed with examples of real data.

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References

  1. Bickel, P. J. and Freedman, D. A.(1984), Asymptotic Normality and the Bootstrap In Stratified Sampling, The Annals of Statistics, 12, 470-482 https://doi.org/10.1214/aos/1176346500
  2. Efron, B. and Tibshirani,R.J.(1993). An Introduction to the Bootstrap, Chapman & Hall
  3. Krewski, D. and Rao, J. N. K. (1981). Inference from Stratified Samples: Properties of the Linearization, Jackknife and Balanced Repeated Replication Methods, The Annals of Statistics, 9, 1010-1019 https://doi.org/10.1214/aos/1176345580
  4. Lee, H., Rancourt, E. and Sarndal, C. E. (1994). Experiments with Variance Estimation from Survey Data with Imputed Values. Journal of Official Statistics, 10, 231-243
  5. Lehtonen, R. and Pahkinen, E. J. (1994). Practical Methods for Design and Analysis of Complex Surveys, John Wiley & Sons
  6. Rao, J. N. K. and Shao, J. (1992). Jackknife Variance Estimation with Survey Data under Hot- Deck Imputation, Biometrika, 79, 811 -822 https://doi.org/10.1093/biomet/79.4.811
  7. Rao, J. N. K. and Shao, J.(1996). On Balanced Half-Sample Variance Estimation in Stratified Random Sampling, Journal of the American Statistical Association, 91, 343-348 https://doi.org/10.2307/2291413
  8. Risto, Lehtonen. and Erkki, J. P. (1994). Practical Methods for Design and Analysis of Complex Surveys, John Wiley & Sons
  9. Rubin, D. B. (1978). Multiple Imputation for Nonresponse in Surveys, Wiley, New York
  10. Shao, J. Chen, Y. Chen. (1998). Balanced Repeated Replication for Stratified Multistage Data Under Imputation. Journal of the American Statistical Association, 93, 819-831 https://doi.org/10.2307/2670131
  11. Shao, J. and Sitter, R. R. (1996). Bootstrap for Imputed Survey Data. Journal of the American Statistical Association, 91, 1278-1288