Variance estimation for nearest neighbor imputation for US Census long form data

Annals of Applied Statistics

Volumn 5, Issue 2 A, 2011, Pages 824-842

  Kim, Jae Kwang ^a   Fuller, Wayne A ^a   Bell, William R ^a  

^a IOWA STATE UNIVERSITY   (United States)

Author keywords

Fractional imputation; Hot deck imputation; Nonresponse; Replication variance estimation

Indexed keywords

EID: 84873333640     PISSN: 19326157     EISSN: 19417330     Source Type: Journal    
DOI: 10.1214/10-AOAS419     Document Type: Article

References (18)

1. Chen, J. and Shao, J. (2000). Nearest neighbor imputation for survey data. Journal of Official Statistics 16 113-131.
2. Chen, J. and Shao, J. (2001). Jackknife variance estimation for nearest-neighbor imputation. J. Amer. Statist. Assoc. 96 260-269. Mathematical Reviews (MathSciNet): MR1952736, Zentralblatt MATH: 1014.62008, Digital Object Identifier: doi:10.1198/016214501750332839
3. Fay, R. E. (1999). Theory and application of nearest neighbor imputation in Census 2000. In Proceedings of the Section on Survey Research Methods 112-121. Amer. Statist. Assoc., Alexandria, VA.
4. Francisco, C. A. and Fuller, W. A. (1991). Quantile estimation with a complex survey design. Ann. Statist. 19 454-469. Mathematical Reviews (MathSciNet): MR1091862, Zentralblatt MATH: 0787.62011, Digital Object Identifier: doi:10.1214/aos/1176347993, Project Euclid: euclid.aos/1176347993
5. Kalton, G. and Kish, L. (1984). Some efficient random imputation methods. Comm. Statist. A 13 1919-1939.
6. Kim, J. K. and Fuller, W. A. (2004). Inference procedures for hot deck imputation. Biometrika 91 559-578. Mathematical Reviews (MathSciNet): MR2090622, Zentralblatt MATH: 1111.62008, Digital Object Identifier: doi:10.1093/biomet/91.3.559
7. Kim, J. K., Fuller, W. A. and Bell, W. R. (2010). Supplement to "Variance estimation for nearest neighbor imputation for US Census long form data." DOI: 10.1214/10-AOAS419SUPPA, DOI: 10.1214/10-AOAS419SUPPB, DOI: 10.1214/10-AOAS419SUPPC. Mathematical Reviews (MathSciNet): MR2840177, Zentralblatt MATH: 05961693, Digital Object Identifier: doi:10.1214/10-AOAS419, Project Euclid: euclid.aoas/1310562207
8. Rancourt, E., Särndal, C. E. and Lee, H. (1994). Estimation of the variance in the presence of nearest neighbor imputation. In Proceedings of the Section on Survey Research Methods 888-893. Amer. Statist. Assoc., Alexandria, VA.
9. Rancourt, E. (1999). Estimation with nearest neighbor imputation at Statistics Canada. In Proceedings of the Section on Survey Research Methods 131-138. Amer. Statist. Assoc., Alexandria, VA.
10. Rao, J. N. K. and Shao, J. (1992). Jackknife variance estimation with survey data under hot deck imputation. Biometrika 79 811-822. Mathematical Reviews (MathSciNet): MR1209480, Zentralblatt MATH: 0764.62008, Digital Object Identifier: doi:10.1093/biomet/79.4.811
11. Rubin, D. B. (1976). Inference and missing data. Biometrika 63 581-590. Mathematical Reviews (MathSciNet): MR455196, Zentralblatt MATH: 0344.62034, Digital Object Identifier: doi:10.1093/biomet/63.3.581
12. Rubin, D. B. (1987). Multiple Imputation for Nonresponse in Surveys. Wiley, New York. Mathematical Reviews (MathSciNet): MR899519, Zentralblatt MATH: 1070.62007
13. Sande, I. (1983). Hot-deck imputation procedures. In Incomplete Data in Sample Surveys 2 339-349. Academic Press, New York.
14. Schneider, P. J. (2004). Content and Data Quality in Census 2000. Census 2000 testing, experimentation, and evaluation program topic. Report No. 12 TR-12, US Census Bureau. Available at http://www.census.gov/pred/www/rpts/TR12.pdf.
15. Shao, J. (2009). Nonparametric variance estimation for nearest neighbor imputation. Journal of Official Statistics 25 55-62.
16. Shao, J. and Steel, P. (1999). Variance estimation for survey data with composite imputation and nonnegligible sampling fractions. J. Amer. Statist. Assoc. 94 254-265. Mathematical Reviews (MathSciNet): MR1689230, Zentralblatt MATH: 1072.62518, Digital Object Identifier: doi:10.1080/01621459.1999.10473841
17. Shao, J. and Wang, H. (2008). Confidence intervals based on survey data with nearest neighbor imputation. Statist. Sinica 18 281-297. Mathematical Reviews (MathSciNet): MR2384989, Zentralblatt MATH: 1137.62003
18. Woodruff, R. S. (1952). Confidence intervals for medians and other position measures. J. Amer. Statist. Assoc. 47 635-646. Mathematical Reviews (MathSciNet): MR50845, Zentralblatt MATH: 0047.38002, Digital Object Identifier: doi:10.1080/01621459.1952.10483443