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Missing data estimation based on the chaining technique in survey sampling

Author

Listed:
  • Thakur Narendra Singh

    (Govt. Adarsh Girls College, Sheopur, (M.P.), India, Pin – 476337, Affiliation with Jiwaji University, Gwalior, (M.P.), India .)

  • Shukla Diwakar

    (Dr. Harisingh Gour Central University, Sagar, (M.P.), India, Pin – 470003 .)

Abstract

Sample surveys are often affected by missing observations and non-response caused by the respondents’ refusal or unwillingness to provide the requested information or due to their memory failure. In order to substitute the missing data, a procedure called imputation is applied, which uses the available data as a tool for the replacement of the missing values. Two auxiliary variables create a chain which is used to substitute the missing part of the sample. The aim of the paper is to present the application of the Chain-type factor estimator as a means of source imputation for the non-response units in an incomplete sample. The proposed strategies were found to be more efficient and bias-controllable than similar estimation procedures described in the relevant literature. These techniques could also be made nearly unbiased in relation to other selected parametric values. The findings are supported by a numerical study involving the use of a dataset, proving that the proposed techniques outperform other similar ones.

Suggested Citation

  • Thakur Narendra Singh & Shukla Diwakar, 2022. "Missing data estimation based on the chaining technique in survey sampling," Statistics in Transition New Series, Polish Statistical Association, vol. 23(4), pages 91-111, December.
    • Handle: RePEc:vrs:stintr:v:23:y:2022:i:4:p:91-111:n:4
    DOI: 10.2478/stattrans-2022-0044
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    References listed on IDEAS

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    3. Diwakar Shukla, 2002. "F-T estimator under two-phase sampling," Metron - International Journal of Statistics, Dipartimento di Statistica, Probabilità e Statistiche Applicate - University of Rome, vol. 0(1-2), pages 97-106.
    4. B. Kiregyera, 1984. "Regression-type estimators using two auxiliary variables and the model of double sampling from finite populations," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 31(1), pages 215-226, December.
    5. Housila Singh & Mariano Ruiz Espejo, 2007. "Double Sampling Ratio-product Estimator of a Finite Population Mean in Sample Surveys," Journal of Applied Statistics, Taylor & Francis Journals, vol. 34(1), pages 71-85.
    6. B. Kiregyera, 1980. "A chain ratio-type estimator in finite population double sampling using two auxiliary variables," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 27(1), pages 217-223, December.
    Full references (including those not matched with items on IDEAS)

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