Skip to main content
Log in

Amputation versus imputation of missing values through ratio method in sample surveys

  • Regular Article
  • Published:
Statistical Papers Aims and scope Submit manuscript

Abstract

In this article, we consider the estimation of a population mean when some observations on the study characteristic are missing in the 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.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Chen J, Rao JNK, Sitter R (2000) Efficient random imputation for missing data in complex survey. Stat Sin 10:1153–1169

    MATH  MathSciNet  Google Scholar 

  • Little RJA, Rubin DB (2002) Statistical analysis with missing data, 2nd edn. Wiley, New York

    MATH  Google Scholar 

  • Rao CR, Toutenburg H (1999) Linear models: least squares and alternatives, 2nd edn. Springer, Berlin Heidelberg New York

    MATH  Google Scholar 

  • Rao J Sitter R (1995) Variance estimation under two-phase sampling with application to imputation for missing data. Biometrika 82:453–460

    Article  MathSciNet  Google Scholar 

  • Rubin DB (1987) Multiple imputation for nonresponse in sample surveys. Wiley, New York

    Google Scholar 

  • Rueda M, González S (2004) Missing data and auxiliary information in surveys. Comput Stat 19:551–569

    Article  MATH  Google Scholar 

  • 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

    Article  MATH  MathSciNet  Google Scholar 

  • Singh S, Horn S (2000) Compromised imputation in survey sampling. Metrika 51:267–276

    Article  MATH  MathSciNet  Google Scholar 

  • Sitter R, Rao JNK (1997) Imputation for missing values and corresponding variance estimation. Can J Stat 25(1):61–78

    Article  MATH  MathSciNet  Google Scholar 

  • Sukhatme PV, Sukhatme BV, Sukhatme S, Asok C (1984) Sampling theory of surveys with applications. Iowa State University Press, Iowa

    Google Scholar 

  • Tracy DS, Osahan SS (1994) Random non-response on study variable versus on Study as well as auxiliary variables. Statistica 54:163–168

    MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to H. Toutenburg.

Additional information

This work was carried out before Professor V.K. Srivastava passed away in 2001.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Toutenburg, H., Srivastava, V.K. & Shalabh Amputation versus imputation of missing values through ratio method in sample surveys. Statistical Papers 49, 237–247 (2008). https://doi.org/10.1007/s00362-006-0009-4

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00362-006-0009-4

Keywords

Navigation