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Sequential Data Weighting Procedures for Combined Ratio Estimators in Complex Sample Surveys

Author

Listed:
  • Alkaya Aylin

    (Department of Business Administration, Nevşehir Haci Bektaş Veli University, 50300 Nevşehir, Turkey)

  • Ayhan H. Öztaş

    (Department of Statistics, Middle East Technical University, 06800 Ankara, Turkey)

  • Esin Alptekin

    (Department of Statistics, Gazi University, 06500 Ankara, Turkey)

Abstract

In sample surveys weighting is applied to data to increase the quality of estimates. Data weighting can be used for several purposes. Sample design weights can be used to adjust the differences in selection probabilities for non-self weighting sample designs. Sample design weights, adjusted for nonresponse and noncoverage through the sequential data weighting process. The unequal selection probability designs represented the complex sampling designs. Among many reasons of weighting, the most important reasons are weighting for unequal probability of selection, compensation for nonresponse, and post-stratification. Many highly efficient estimation methods in survey sampling require strong information about auxiliary variables, x. The most common estimation methods using auxiliary information in estimation stage are regression and ratio estimator. This paper proposes a sequential data weighting procedure for the estimators of combined ratio mean in complex sample surveys and general variance estimation for the population ratio mean. To illustrate the utility of the proposed estimator, Turkish Demographic and Health Survey 2003 real life data is used. It is shown that the use of auxiliary information on weights can considerably improve the efficiency of the estimates.

Suggested Citation

  • Alkaya Aylin & Ayhan H. Öztaş & Esin Alptekin, 2017. "Sequential Data Weighting Procedures for Combined Ratio Estimators in Complex Sample Surveys," Statistics in Transition New Series, Polish Statistical Association, vol. 18(2), pages 247-270, June.
    • Handle: RePEc:vrs:stintr:v:18:y:2017:i:2:p:247-270:n:5
    DOI: 10.21307/stattrans-2016-069
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    References listed on IDEAS

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    1. Wu C. & Sitter R. R, 2001. "A Model-Calibration Approach to Using Complete Auxiliary Information From Survey Data," Journal of the American Statistical Association, American Statistical Association, vol. 96, pages 185-193, March.
    2. Changbao Wu, 2003. "Optimal calibration estimators in survey sampling," Biometrika, Biometrika Trust, vol. 90(4), pages 937-951, December.
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