Kim, Jae Kwang; Brick, J. Michael; Fuller, Wayne A.; Kalton, Graham On the bias of the multiple-imputation variance estimator in survey sampling. (English) Zbl 1110.62008 J. R. Stat. Soc., Ser. B, Stat. Methodol. 68, No. 3, 509-521 (2006). Summary: Multiple imputation is a method of estimating the variances of estimators that are constructed with some imputed data. We give an expression for the bias of the multiple-imputation variance estimator for data that are collected with a complex sample design. The bias may be sizable for certain estimators, such as domain means, when a large fraction of the values are imputed. A bias-adjusted variance estimator is suggested. Cited in 1 ReviewCited in 23 Documents MSC: 62D05 Sampling theory, sample surveys 62J05 Linear regression; mixed models Keywords:missing data; non-response; survey sampling PDFBibTeX XMLCite \textit{J. K. Kim} et al., J. R. Stat. Soc., Ser. B, Stat. Methodol. 68, No. 3, 509--521 (2006; Zbl 1110.62008) Full Text: DOI References: [1] Binder D. A., Proc. Surv. Res. Meth. Sect. Am. Statist. Ass. pp 281– (1996) [2] Breidt F. J., J. Ind. Soc. Agric. Statist. 49 pp 79– (1996) [3] Brick J. M., Surv. Methodol. 30 pp 57– (2004) [4] DOI: 10.2307/2289716 · doi:10.2307/2289716 [5] DOI: 10.2307/3069628 · doi:10.2307/3069628 [6] Fay R. E., Proc. Surv. Res. Meth. Sect. Am. Statist. Ass. pp 227– (1992) [7] Fay R. E., Proc. Surv. Res. Meth. Sect. Am. Statist. Ass. pp 41– (1993) [8] Fuller W. A., Surv. Methodol. 31 pp 139– (2005) [9] DOI: 10.2307/2669819 · doi:10.2307/2669819 [10] DOI: 10.2307/2287773 · Zbl 0511.62016 · doi:10.2307/2287773 [11] DOI: 10.1214/009053604000000175 · Zbl 1048.62012 · doi:10.1214/009053604000000175 [12] DOI: 10.1093/biomet/91.3.559 · Zbl 1111.62008 · doi:10.1093/biomet/91.3.559 [13] Kott P. S., Proc. Surv. Res. Meth. Sect. Am. Statist. Ass. pp 380– (1995) [14] Meng X.-L., Statist. Sci. 9 pp 538– (1994) [15] Nielsen S. F., Int. Statist. Rev. 71 pp 593– (2003) [16] Pfeffermann D., Int. Statist. Rev. 61 pp 317– (1993) [17] DOI: 10.2307/2337236 · doi:10.2307/2337236 [18] DOI: 10.1093/biomet/87.1.113 · Zbl 0974.62016 · doi:10.1093/biomet/87.1.113 [19] Rubin D. B., Multiple Imputation for Nonresponse in Surveys (1987) · Zbl 1070.62007 · doi:10.1002/9780470316696 [20] DOI: 10.2307/2291635 · Zbl 0869.62014 · doi:10.2307/2291635 [21] DOI: 10.2307/2289225 · Zbl 0615.62011 · doi:10.2307/2289225 [22] Sarndal C. E., Surv. Methodol. 18 pp 241– (1992) [23] Schafer J. L., Proc. Surv. Res. Meth. Sect. Am. Statist. Ass. pp 28– (1996) [24] Schenker N., Ann. Statist. 16 pp 1550– (1988) [25] DOI: 10.1093/aje/kwf110 · doi:10.1093/aje/kwf110 [26] DOI: 10.1093/biomet/85.4.935 · Zbl 1054.62524 · doi:10.1093/biomet/85.4.935 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.