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Journals / Gazi University Journal of Science / 2026 / Volume: 30 Issue: 2

ESTIMATION OF POPULATION VARIANCE USING QUARTILES IN ABSENCE AND PRESENCE OF NON-RESPONSE

Nursel Koyuncu
Usman Shahzad
Muhammad Hanif
Amelia Victoria Garcia Luengo
Pages
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Publication Date
2017-06-19
DOI
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Further, an empirical illustration is carried out to support the theoretical findings.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this study, we have addressed the issue of estimation of population variance utilizing quartiles and some of their functions of an auxiliary variable in absence and presence of non-response.
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Key Findings & Data:A class of ratio type estimators have been suggested with their MSEs’ in simple random sampling.
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Conclusion & Impact:Further, an empirical illustration is carried out to support the theoretical findings.
🔬Design:Review & Systematic Survey
📍Scope:Comprehensive Sample
⚙️Variables:Mean square error · Non-response · Simple random sampling

Abstract

In this study, we have addressed the issue of estimation of population variance utilizing quartiles and some of their functions of an auxiliary variable in absence and presence of non-response. A class of ratio type estimators have been suggested with their MSEs’ in simple random sampling. The suggested estimators have been compared with the reviewed estimators. Further, an empirical illustration is carried out to support the theoretical findings.

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Cite This Article

Koyuncu, N., Shahzad, U., Hanif, M., Luengo, A. V. G. (2017). ESTIMATION OF POPULATION VARIANCE USING QUARTILES IN ABSENCE AND PRESENCE OF NON-RESPONSE. Gazi University Journal of Science, Volume: 30 Issue: 2. https://ajindex.com/articles/1269399

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References (20)

  1. Hansen, M.H. and Hurwitz, W.N., 1946. The problem of non-response in sample surveys. Journal of the
  2. American Statistical Association, 41(236), pp.517-529.
  3. Isaki, C.T., 1983. Variance estimation using auxiliary information. Journal of the American Statistical
  4. Association, 78(381), pp.117-123.
  5. Kadilar, C. and Cingi, H., 2006a. Ratio estimators for the population variance in simple and stratified
  6. random sampling. Applied Mathematics and Computation, 173(2), pp.1047-1059.
  7. Kadilar, C. and Cingi, H., 2006b. Improvement in variance estimation using auxiliary information.
  8. Hacettepe Journal of Mathematics and Statistics, 35(1).
  9. Sarndal, C.E., Swensson, B. and Wretman, J., 1992. Model Assisted Survey Sampling, New
  10. York:Springer.
  11. Sinha, R.R. and Kumar, V., 2015. Families of estimators for finite population variance using auxiliary
  12. character under double sampling the non-respondents. National Academy Science Letters, 38(6), pp.501-
  13. Singh, J., Pandey, B.N. and Hirano, K., 1973. On the utilization of a known coefficient of kurtosis in the
  14. estimation procedure of variance. Annals of the Institute of Statistical Mathematics, 25(1), pp.51-55.
  15. Singh, H.P., Upadhyaya, L.N. and Namjoshi, U.D., 1988. Estimation of finite population variance. Current Science, 57(24), pp.1331-1334.
  16. Solanki, R. S., Singh, H. P., and Pal, S. K. 2015. Improved ratio-type estimators of finite population
  17. variance using quartiles. Hacettepe J. Math. Stat, 44(3), 747-754.
  18. Upadhyaya, L.N. and Singh, H.P., 1999. An estimator for population variance that utilizes the kurtosis
  19. of an auxiliary variable in sample surveys. Vikram Mathematical Journal, 19(1), pp.14-17.
  20. Singh, S., 2003. Advanced Sampling Theory with Applications: How Michael SelectedAmy. KluwerAcademic Publisher, The Netherlands, pp. 1-1247.