Balanced repeated replication for stratified multistage survey data under imputation

Journal of the American Statistical Association

Volumn 93, Issue 442, 1998, Pages 819-831

  Shao, Jun ^a   Chen, Ying ^b   Chen, Yinzhong ^c  

^a University of Wisconsin Madison   (United States)

^b Footprint Software Inc   (Canada)

^c ABBOTT LABORATORIES   (United States)

Author keywords

Adjusted balanced repeated replication; Nonresponse; Sample mean; Sample quantiles; Variance estimation

Indexed keywords

EID: 0032371445     PISSN: 01621459     EISSN: 1537274X     Source Type: Journal    
DOI: 10.1080/01621459.1998.10473733     Document Type: Article

References (38)

1. Bickel, P. J., and Freedman, D. A. (1984), "Asymptotic Normality and the Bootstrap in Stratified Sampling," The Annals of Statistics, 12,470-482.
2. Binder, D. A., and Kovacevic, M. S. (1993), "Estimating Some Measures of Income Inequality From Survey Data: An Application of the Estimating Equation Approach," in Proceedings of the Survey Research Methods Section, American Statistical Association, pp. 550-555.
3. Binder, D. A., and Patak, Z. (1994), "Use of Estimating Functions for Estimation From Complex Surveys," Journal of the American Statistical Association, 89, 1035-1043.
4. Binder, D. A., and Sun, W. (1996), "Frequency Valid Multiple Imputation for Surveys With a Complex Design," unpublished manuscript.
5. Chen, Y. (1993), ''Balanced Repeated Replication Variance Estimators for Survey Data Under Imputation," unpublished Ph.D. thesis, University of Ottawa, Dept, of Mathematics and Statistics.
6. Chen, Y., and Shao, J. (1996), "Inference With Complex Survey Data Imputed by Hot Deck When Nonrespondents Are Nonidentifiable " Technical Report 937, University of Wisconsin-Madison, Dept, of Statistics.
7. Fay, R. E. (1991), "A Design-Based Perspective on Missing Data Variance," in Proceedings of the Seventh Annual Research Conference, Bureau of the Census, pp. 429-440.
8. Fay, R. E. (1994), "Analyzing Imputed Survey Data Sets With Model- Assisted Estimators," in Proceedings of the Section on Survey Research Methods, American Statistical Association, pp. 900-905.
9. Gupta, V. K., and Nigam, A. K. (1987), "Mixed Orthogonal Arrays for Variance Estimation With Unequal Numbers of Primary Selections per Stratum," Biometrika, 74, 735-742.
10. Gurney, M., and Jewett, R. S. (1975), "Constructing Orthogonal Replications for Standard Errors," Journal of the American Statistical Association, 70, 819-821.
11. Hedayat, A. S., and Pesotan, H. (1986), "Characterization of Triply Balanced Matrices With Applications to Survey Sampling," Journal of Statistical Planning and Inference, 15, 11-17.
12. Kalton, G. (1981), "Compensating for Missing Data," ISR Research Report. University of Michigan, Survey Research Center.
13. King, C., and Kombau, M. (1994), "Inventory of Economic Area Statistical Practices," ESMD Report Series 9401, Bureau of the Census.
14. Kish, L., and Frankel, M. R. (1970), "Balanced Repeated Replication for Standard Errors," Journal of the American Statistical Association, 65, 1071-1094.
15. Kott, P. (1995), "A Paradox of Multiple Imputation," in Proceedings of the Section on Survey Research Methods. American Statistical Association, pp. 380-383.
16. Kovar, J. G., Rao, J. N. K., and Wu, C. F. J. (1988), "Bootstrap and Other Methods to Measure Errors in Survey Estimates," Canadian Journal of Statistics, 16, Supplement, 25-45.
17. 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.
18. Lee, H., Rancourt, E., and Sámdal, C. E. (1994), "Experiments With Variance Estimation From Survey Data With Imputed Values," Journal of Official Statistics, 10, 231-243.
19. McCarthy, P. J. (1969), "Pseudo-Replication: Half Samples," Review of International Statistical Institute, 37, 239-264.
20. Nixon, M. G., Kalton, G., and Brick, M. (1996), "Compensating for Missing Best Values in the NIPRCSin Proceedings of the Section on Survey Research Methods, American Statistical Association, pp. 347-353.
21. Rao, J. N. K., and Shao, J. (1992), "Jackknife Variance Estimation With Survey Data Under Hot Deck Imputation" Biometrika, 79, 811-822.
22. Rao, J. N. K., and Shao, J. (1996), "On Balanced Half-Sample Variance Estimation in Stratified Sampling" Journal of the American Statistical Association, 91, 343-348.
23. Rao, J. N. K., and Wu, C. F. J. (1985), "Inference From Stratified Samples: Second-Order Analysis of Three Methods for Nonlinear Statistics," Journal of the American Statistical Association, 80, 620-630.
24. Rubin, D. B. (1978), "Multiple Imputations in Sample Surveys-A Phenomenological Bayesian Approach to Nonresponse," in Proceedings of the Survey Research Methods Section, American Statistical Association, pp. 20-34.
25. Rubin, D. B. (1987), Multiple Imputation for Nonresponse in Surveys, New York: Wiley.
26. Sámdal, C. E., Swennson, B., and Wretman, J. (1992), Model Assisted Survey Sampling, New York: Springer-Verlag.
27. Schenker, N., and Welsh, A. H. (1988), "Asymptotic Results for Multiple Imputation," The Annals of Statistics, 16, 1550-1566.
28. Sedransk, J. (1985), 'The Objective and Practico of Imputation," in Proceedings of the First Annual Research Conference, Bureau of the Census, pp. 445-452.
29. Serfling, R. J. (1980), Approximation Theorems of Mathematical Statistics, New York: Wiley.
30. Shao, J. (1994), "L-S tatistics in Complex Survey," The Annals of Statistics, 22, 946-967.
31. Shao, J., and Rao, J. N. K. (1994), "Standard Errors for Low Income Proportions Estimated From Stratified Multistage Samples," Sankhyá, Ser. B, Special Volume 55, 393-414.
32. Shao, J., and Sitter, R. R. (1996), "Bootstrap for Imputed Survey Data," Journal of the American Statistical Association, 91, 1278-1288.
33. Shao, J., and Wu, C. F. J. (1992), "Asymptotic Properties of the Balanced Repeated Replication Method for Sample Quantiles," The Annals of Statistics, 20, 1571-1593.
34. Sitter, R. R. (1993), "Balanced Repeated Replications Based on Orthogonal Multi-Arrays," Biometrika, 80, 211-221.
35. Valliant, R. (1993), "Poststratification and Conditional Variance Estimation," Journal of the American Statistical Association, 88, 89-96.
36. West, S. A. (1984), "A Comparison of Estimators for the Variance of Regression-Type Estimators in a Finite Population." in Proceedings of the Section of Survey Research Methods, American Statistical Association, pp. 170-175.
37. Wolter, K. M. (1985), Introduction to Variance Estimation, New York: Springer-Verlag.
38. Wu, C. F. J. (1991), "Balanced Repeated Replications Based on Mixed Orthogonal Arrays," Biometrika, 78, 181-188.