×

Amputation versus imputation of missing values through ratio method in sample surveys. (English) Zbl 1168.62308

Summary: We consider the estimation of a population mean when some observations of the study characteristic are missing in bivariate sample data. In all, five estimators are presented and their efficiency properties are discussed. One estimator arises from the the amputation of incomplete observations while the remaining four estimators are formulated using imputed values obtained by the ratio method of estimation.

MSC:

62D05 Sampling theory, sample surveys
PDFBibTeX XMLCite
Full Text: DOI Link

References:

[1] Chen J, Rao JNK, Sitter R (2000) Efficient random imputation for missing data in complex survey. Stat Sin 10:1153–1169 · Zbl 0960.62013
[2] Little RJA, Rubin DB (2002) Statistical analysis with missing data, 2nd edn. Wiley, New York
[3] Rao CR, Toutenburg H (1999) Linear models: least squares and alternatives, 2nd edn. Springer, Berlin Heidelberg New York · Zbl 0846.62049
[4] Rao J Sitter R (1995) Variance estimation under two-phase sampling with application to imputation for missing data. Biometrika 82:453–460 · Zbl 0823.62011 · doi:10.1093/biomet/82.2.453
[5] Rubin DB (1987) Multiple imputation for nonresponse in sample surveys. Wiley, New York
[6] Rueda M, González S (2004) Missing data and auxiliary information in surveys. Comput Stat 19:551–569 · Zbl 1068.65026 · doi:10.1007/BF02753912
[7] Rueda M, González S, Arcos A (2005) Indirect methods of imputation of missing data based on available units. Appl Math Comput 164(1):249–261 · Zbl 1061.62014 · doi:10.1016/j.amc.2004.04.102
[8] Singh S, Horn S (2000) Compromised imputation in survey sampling. Metrika 51:267–276 · Zbl 1093.62510 · doi:10.1007/s001840000054
[9] Sitter R, Rao JNK (1997) Imputation for missing values and corresponding variance estimation. Can J Stat 25(1):61–78 · Zbl 0876.62004
[10] Sukhatme PV, Sukhatme BV, Sukhatme S, Asok C (1984) Sampling theory of surveys with applications. Iowa State University Press, Iowa
[11] Tracy DS, Osahan SS (1994) Random non-response on study variable versus on Study as well as auxiliary variables. Statistica 54:163–168 · Zbl 0830.62012
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.