Skip to main content
SpringerLink
Log in

Estimation of Population Mean Using Imputation Methods for Missing Data Under Two-Phase Sampling Design

  • Original Article
  • Published:
Journal of Statistical Theory and Practice Aims and scope Submit manuscript

Abstract

This manuscript emphasizes the estimation procedure of population mean in two-phase sampling when non-response occurs during survey in both phases of sample data. To cope with the problem of missing data, some new imputation methods have been suggested for estimating the population mean which utilize the information on two auxiliary variables. The properties of the resultant estimators are studied which are followed by empirical and simulation studies accomplished on real as well as on artificial data sets which justify the suggested imputation methods. Results are significantly analyzed, and appropriate suggestions are made to the survey practitioners.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6

Similar content being viewed by others

References

  1. Rubin DB (1976) Inference and missing data. Biometrica 63:581–593

    Article  MathSciNet  Google Scholar 

  2. Heitain FD, Rubin BD (1991) Ignorablity and coarse data random. Annu Stat 50(3):207–213

    Google Scholar 

  3. Heitain FD (1994) Ignoriablity in general complete-data models. Biometrika 81:701–708

    Article  MathSciNet  Google Scholar 

  4. Heitain FD, Basu S (1996) Distinguishing “missing at random” and “missing completely at random”. Am Stat 50(3):207–213

    MathSciNet  Google Scholar 

  5. Sande IG (1979) A personal view of hot deck approach to automatic edit and imputation. J Imput Proced Surv Methodol 5:238–246

    Google Scholar 

  6. Kalton G, Kasprzyk D, Santos R (1981) Issues of non-response and imputation in the survey of income and program participation. In: Krewski D, Platek R, Rao JNK (eds) Current topics in survey sampling. Academic Press, New York, pp 455–480

    Chapter  Google Scholar 

  7. Lee H, Rancourt E, Sarndal CE (1994) Experiments with variance estimation from survey data with imputed values. J Off Stat 10(3):231–243

    Google Scholar 

  8. Lee H, Rancourt E, Sarndal CE (1995) Variance estimation in the presence of imputed data for the generalized estimation system. In: Proceeding of the American Statistical Association (Survey Research Methods Section of the American Statistical Association (ASA)). pp 384–389

  9. Singh S, Horn S (2000) Compromised imputation in survey sampling. Metrika 51:266–276

    Article  MathSciNet  Google Scholar 

  10. Singh S, Deo B (2003) Imputation by power transformation. Stat Pap 44:555–579

    Article  MathSciNet  Google Scholar 

  11. Ahmed MS, Al-Titi O, Al-Rawi Z, Abu-Dayyeh W (2006) Estimation of population mean using different imputation methods. Stat Transit 7(6):1247–1264

    Google Scholar 

  12. Kadilar C, Cingi H (2008) Estimators for the population mean in the case of missing data. Commun Stat Theory Methods 37:2226–2236

    Article  MathSciNet  Google Scholar 

  13. Singh S (2009) A new method of imputation in survey sampling. Statistics 43(5):499–511

    Article  MathSciNet  Google Scholar 

  14. Diana G, Perri PF (2010) Improved estimators of the population mean for missing data. Commun Stat Theory Methods 39:3245–3251

    Article  Google Scholar 

  15. Singh GN, Karna JP (2010) Some imputation methods to minimize the effect of non response in two-occasion rotation patterns. Commun Stat Theory Methods 39(18):3264–3281

    Article  MathSciNet  Google Scholar 

  16. Gira Abdeltawab A (2015) Estimation of population mean with a new imputation methods. Appl Math Sci 9(34):1663–1672

    Google Scholar 

  17. Bhushan S, Pandey PP (2016) Optimality of ratio type estimation methods for population mean in presence of missing data. Commun Stat Theory Methods. https://doi.org/10.1080/03610926.2016.1167906

    Article  Google Scholar 

  18. Thakur NS, Yadav K, Pathak S (2011) Estimation of mean in presence of missing data under two-phase sampling scheme. J Reliab Stat Stud 4(2):93–104

    MATH  Google Scholar 

  19. Thakur NS, Yand Pathak S (2012) Some imputation methods in double sampling scheme for estimation of population mean. Int J Mod Eng Res 2(1):200–207

    Google Scholar 

  20. Thakur NS, Yadav K, Pathak S (2013) On mean estimation with imputation in two-phase sampling. Res J Math Stat Sci 1(13):1–9

    Google Scholar 

  21. Pandey R, Yadav K (2016) Mean estimation under imputation based on two-phase sampling design using an auxiliary variable. Pak J Stat Oper Res XII(4):639–658

    Article  MathSciNet  Google Scholar 

  22. Anderson TW (1958) An introduction to multivariate statistical analysis. Wiley, New York

    MATH  Google Scholar 

  23. Murthy MN (1967) Sampling theory and methods. Statistical Publishing Society, Calcutta

    MATH  Google Scholar 

  24. Cochran WG (1977) Sampling techniques. Wiley, New-York

    MATH  Google Scholar 

  25. Wang SG, Chow SC (1994) Advanced linear models: theory and applications. Marcel Dekker, Inc., New York

    Google Scholar 

Download references

Acknowledgements

Authors are thankful to the Indian Institute of Technology (Indian School of Mines), Dhanbad, for providing necessary support to carry out the present research work. Authors are also thankful to the reviewers for their valuable suggestions which improved the quality of the paper.

Author information

Authors and Affiliations

  1. Department of Applied Mathematics, Indian Institute of Technology (Indian School of Mines), Dhanbad, 826004, India

    G. N. Singh & S. Suman

Authors
  1. G. N. Singh
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. S. Suman
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to S. Suman.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Singh, G.N., Suman, S. Estimation of Population Mean Using Imputation Methods for Missing Data Under Two-Phase Sampling Design. J Stat Theory Pract 13, 19 (2019). https://doi.org/10.1007/s42519-018-0016-5

Download citation

  • Published:

  • DOI: https://doi.org/10.1007/s42519-018-0016-5

Keywords

Mathematics Subject Classification

Search

Navigation