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http://dx.doi.org/10.5351/CKSS.2005.12.2.365

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)
Publication Information
Communications for Statistical Applications and Methods / v.12, no.2, 2005 , pp. 365-379 More about this Journal
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.
Keywords
balanced repeated replication; jackknife; hot-deck; imputation;
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  • Reference
1 Shao, J. and Sitter, R. R. (1996). Bootstrap for Imputed Survey Data. Journal of the American Statistical Association, 91, 1278-1288
2 Bickel, P. J. and Freedman, D. A.(1984), Asymptotic Normality and the Bootstrap In Stratified Sampling, The Annals of Statistics, 12, 470-482   DOI   ScienceOn
3 Efron, B. and Tibshirani,R.J.(1993). An Introduction to the Bootstrap, Chapman & Hall
4 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   DOI   ScienceOn
5 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
6 Lehtonen, R. and Pahkinen, E. J. (1994). Practical Methods for Design and Analysis of Complex Surveys, John Wiley & Sons
7 Rao, J. N. K. and Shao, J. (1992). Jackknife Variance Estimation with Survey Data under Hot- Deck Imputation, Biometrika, 79, 811 -822   DOI   ScienceOn
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   DOI   ScienceOn
11 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   DOI   ScienceOn