IDEAS home Printed from https://ideas.repec.org/a/spr/qualqt/v59y2025i3d10.1007_s11135-025-02109-7.html
   My bibliography  Save this article

Robust calibration estimation of population mean in stratified sampling in the presence of outlier

Author

Listed:
  • Oluwagbenga Tobi Babatunde

    (University of Nigeria)

  • Abimibola Victoria Oladugba

    (University of Nigeria)

Abstract

A new improved calibration estimator for the population mean in a stratified sampling in the presence of an outlier in the auxiliary variable was proposed in this paper. The median of the auxiliary variable was used to define the calibration constraints. The choice of the median is because it possesses the ability to be insensitive to the presence of outliers compared to the mean used in the literature. A simulation study as well as an empirical study was performed to establish the performance of the proposed estimator over some existing estimators. The results of both the simulation and empirical studies show that the proposed calibration estimator performed better and more efficiently when compared to all the existing calibration estimators considered in this work based on the absolute bias (ABS) and relative root mean square error (RRMSE) criteria.

Suggested Citation

  • Oluwagbenga Tobi Babatunde & Abimibola Victoria Oladugba, 2025. "Robust calibration estimation of population mean in stratified sampling in the presence of outlier," Quality & Quantity: International Journal of Methodology, Springer, vol. 59(3), pages 2925-2940, June.
    • Handle: RePEc:spr:qualqt:v:59:y:2025:i:3:d:10.1007_s11135-025-02109-7
    DOI: 10.1007/s11135-025-02109-7
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s11135-025-02109-7
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s11135-025-02109-7?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to

    for a different version of it.

    References listed on IDEAS

    as
    1. Oluwagbenga T. Babatunde & Abimibola V. Oladugba & Ifeoma O. Ude & Ayodeji S. Adubi, 2024. "Calibration estimation of population mean in stratified sampling using standard deviation," Quality & Quantity: International Journal of Methodology, Springer, vol. 58(3), pages 2125-2141, June.
    2. Nilgun Ozgul, 2019. "New calibration estimator based on two auxiliary variables in stratified sampling," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 48(6), pages 1481-1492, March.
    3. Zaman, Tolga, 2019. "Improvement of modified ratio estimators using robust regression methods," Applied Mathematics and Computation, Elsevier, vol. 348(C), pages 627-631.
    4. Ahmed Audu & Rajesh Singh & Supriya Khare, 2021. "Developing calibration estimators for population mean using robust measures of dispersion under stratified random sampling," Statistics in Transition New Series, Polish Statistical Association, vol. 22(2), pages 125-142, June.
    5. Dhirendra Singh & Bhupendra Veer Singh Sisodia & Nidhi & Sandeep Pundir, 2020. "Some calibration estimators for finite population mean in two-stage stratified random sampling," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 49(17), pages 4234-4247, September.
    6. Tolga Zaman & Hasan Bulut, 2020. "Modified regression estimators using robust regression methods and covariance matrices in stratified random sampling," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 49(14), pages 3407-3420, July.
    7. Manoj K. Chaudhary & Basant K. Ray & Gautam K. Vishwakarma & Cem Kadilar, 2024. "A calibration-based approach on estimation of mean of a stratified population in the presence of non response," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 53(19), pages 7054-7068, October.
    8. Nidhi & B. V. S. Sisodia & Subedar Singh & Sanjay K. Singh, 2017. "Calibration approach estimation of the mean in stratified sampling and stratified double sampling," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 46(10), pages 4932-4942, May.
    9. Neha Garg & Menakshi Pachori, 2020. "Use of coefficient of variation in calibration estimation of population mean in stratified sampling," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 49(23), pages 5842-5852, December.
    10. Tolga Zaman & Hasan Bulut, 2019. "Modified ratio estimators using robust regression methods," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 48(8), pages 2039-2048, April.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Shashi Bhushan & Anoop Kumar & Amer Ibrahim Al-Omari & Ghadah A. Alomani, 2023. "Mean Estimation for Time-Based Surveys Using Memory-Type Logarithmic Estimators," Mathematics, MDPI, vol. 11(9), pages 1-14, April.
    2. Usman Shahzad & Ishfaq Ahmad & Amelia V. García-Luengo & Tolga Zaman & Nadia H. Al-Noor & Anoop Kumar, 2023. "Estimation of Coefficient of Variation Using Calibrated Estimators in Double Stratified Random Sampling," Mathematics, MDPI, vol. 11(1), pages 1-17, January.
    3. J. Al-Jararha & Mazen Sulaiman, 2020. "Horvitz-Thompson estimator based on the auxiliary variable," Statistics in Transition New Series, Polish Statistical Association, vol. 21(1), pages 37-53, March.
    4. Usman Shahzad & Ishfaq Ahmad & Ibrahim Mufrah Almanjahie & Amer Ibrahim Al-Omari, 2022. "Three-fold utilization of supplementary information for mean estimation under median ranked set sampling scheme," PLOS ONE, Public Library of Science, vol. 17(10), pages 1-26, October.
    5. Ahmed Audu & Rajesh Singh & Supriya Khare, 2021. "Developing calibration estimators for population mean using robust measures of dispersion under stratified random sampling," Statistics in Transition New Series, Polish Statistical Association, vol. 22(2), pages 125-142, June.
    6. Oluwagbenga T. Babatunde & Abimibola V. Oladugba & Ifeoma O. Ude & Ayodeji S. Adubi, 2024. "Calibration estimation of population mean in stratified sampling using standard deviation," Quality & Quantity: International Journal of Methodology, Springer, vol. 58(3), pages 2125-2141, June.
    7. Usman Shahzad & Ishfaq Ahmad & Fatimah Alshahrani & Ibrahim M. Almanjahie & Soofia Iftikhar, 2023. "Calibration-Based Mean Estimators under Stratified Median Ranked Set Sampling," Mathematics, MDPI, vol. 11(8), pages 1-21, April.
    8. Mukesh K. Verma & Subhash K. Yadav & Rahul Varshney & Gajendra K. Vishwakarma, 2025. "Improved estimation strategy of mean using linear cost function under stratified sampling," Quality & Quantity: International Journal of Methodology, Springer, vol. 59(2), pages 1143-1162, April.

    More about this item

    Keywords

    ;
    ;
    ;
    ;
    ;

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:qualqt:v:59:y:2025:i:3:d:10.1007_s11135-025-02109-7. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.