Bootstrapping sample quantiles based on complex survey data under hot deck imputation

Statistica Sinica

Volumn 8, Issue 4, 1998, Pages 1071-1085

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

^a UNIVERSITY OF WISCONSIN MADISON   (United States)

^b University of Wisconsin Madison   (United States)

Author keywords

Imputation classes; Low income proportion; Stratified multistage sampling

Indexed keywords

EID: 0032286261     PISSN: 10170405     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Review

References (18)

1. Bickel, P. J. and Freedman, D. A. (1984). Asymptotic normality and the bootstrap in stratified sampling. Ann. Statist. 12, 470-482.
2. Chen, Y. and Shao, J. (1996). Inference with complex survey data imputed by hot deck when nonrespondents are nonidentifiable. Technical Report, Department of Statistics, University of Wisconsin-Madison.
3. Efron, B. (1979). Bootstrap methods: Another look at the jackknife. Ann. Statist. 7, 1-26.
4. Efron, B. (1994). Missing data, imputation, and the bootstrap. J. Amer. Statist. Assoc. 89, 463-479.
5. Ghosh, J. K. (1971). A new proof of the Bahadur representation of quantiles and an application. Ann. Math. Statist. 42, 1957-1961.
6. Ghosh, M., Parr, W. C., Singh, K. and Babu, G. J. (1984). A note on bootstrapping the sample median. Ann. Statist. 12, 1130-1135.
7. Kovar, J. G., Rao, J. N. K. and Wu, C. F. J. (1988). Bootstrap and other methods to measure errors in survey estimates. Canad. J. Statist. 16, Supplement, 25-45.
8. McCarthy, P. J. and Snowden, C. B. (1985). The bootstrap and finite population sampling. Vital and Health Statistics, 2-95, Public Health Service Publication 85-1369, U.S. Government Printing Office, Washington, DC.
9. Rao, J. N. K. and Shao, J. (1992). Jackknife variance estimation with survey data under hot deck imputation. Biometrika 79, 811-822.
10. Rao, J. N. K. and Wu, C. F. J. (1988). Resampling inference with complex survey data. J. Amer. Statist. Assoc. 83, 231-241.
11. Schenker, N. and Welsh, A. H. (1988). Asymptotic results for multiple imputation. Ann. Statist. 16, 1550-1566.
12. Shao, J. (1996). Resampling methods in sample surveys (with discussions). Statist. 27, 203-254.
13. Shao, J. and Rao, J. N. K. (1994). Standard errors for low income proportions estimated from stratified multistage samples. Sankhya Ser. B, Special Volume 55, 393-414.
14. Shao, J. and Sitter, R. R. (1996). Bootstrap for imputed survey data. J. Amer. Statist. Assoc. 91, 1278-1288.
15. Shao J. and Wu, C. F. J. (1992). Asymptotic properties of the balanced repeated replication method for sample quantiles. Ann. Statist. 20, 1571-1593.
16. Sitter, R. R. (1992). A resampling procedure for complex survey data. J. Amer. Statist. Assoc. 87, 755-765.
17. Wolfson, M. C. and Evans, J. M. (1990). Statistics Canada low income cut-offs, methodological concerns and possibilities. Discussion Paper, Statistics Canada.
18. Woodruff, R. S. (1952). Confidence intervals for medians and other position measures. J. Amer. Statist. Assoc. 47, 635-646.