Abimibola V. Oladugba https://orcid.org/0000-0002-6402-8833 , Oluwagbenga T. Babatunde https://orcid.org/0000-0002-4761-9770

© Abimibola V. Oladugba, Oluwagbenga T. Babatunde. Article available under the CC BY-SA 4.0 licence


(English) PDF


In this paper, a new improved calibration estimator for the population mean in a stratified sampling was proposed using two auxiliary variables. A simulation study was carried out to evaluate the performance and efficiency of the proposed estimator with respect to three estimators considered in the literature for estimating the population mean in a stratified sampling using two auxiliary variables. The results showed that the new estimator proved to be more efficient than the three existing estimators considered


calibration, estimator, stratified sampling, auxiliary variables, mean square error, bias, percentage relative efficiency


Adubi, A. S., Babatunde, O. T., and Ude, I. O., (2022). Modified ratio estimators for population means with two auxiliary parameters using calibration weights. Asian Journal of Probability and Statistics, 20(4), pp. 169–183.

Agunbiade, D., Ogunyinka, P., (2013). Effect of correlation level on the use of auxiliary variable in double sampling for regression estimation. Open Journal of Statistics, 3(5), pp. 312–318.

Alam, S., Singh, S., and Shabbir, J., (2019). New methodology of calibration in stratified sampling. Proceedings of JSM-Survey Research Methods Section.

Alam, S., Shabbir, J., (2020). Calibration estimation of mean by using double use of auxiliary information. Communications in Statistics – Simulations and Computation, https://doi.org/10.1080/03610918.2020.1749660.

Babatunde, O. T., Oladugba, A. V., Ude, I. O., and Adubi, A. S., (2023) Calibration estimation of population mean in stratified sampling using standard deviation. Quality & Quantity, https://doi.org/10.1007/s11135-023-01737-1.

Deville, J. C., Sarndal, C., -E., (1992). Calibration estimators in survey sampling. Journal of the American Statistical Association, 87(418), pp. 376–382.

Garg, N., Pachori, M., (2019). Use of coefficient of variation in calibration estimation of population mean in stratified sampling. Communications in Statistics - Theory and Methods, https://doi.org/10.1080/03610926.2019.1622729.

Kadilar, C., Cingi, H., (2006). Improvement in estimating the population mean in simple random sampling. Applied Mathematics Letters, 19, pp. 75–79.

Koyuncu, N., Kadilar, C., (2016). Calibration weighting in stratified random sampling. Communications in Statistics: Simulation and Computation, 45(7), pp. 2267–2275.

Oladugba, A. V., Adubi, A. S., Okafor, F. C., Babatunde, O. T. and Adubi, P. C., (2023). Calibrated estimators for population means using standard deviation of auxiliary variable. Journal of the Indian Society for Probability and Statistics, https://doi.org/10.1007/s41096-023-00167-4.

Ozgul, N., (2018). New calibration estimator based on two auxiliary variables in stratified sampling. Communication in Statistics – Theory and Methods, https://doi.org/10.1080/03610926.2018.1433852.

Rao, D., Khan, M., and Khan, S., (2012). Mathematical programming on multivariate calibration estimation in stratified sampling. World Academy of Science, Engineering and Technology, 72, pp. 12–27.

Rao, D., Tekabu, T., and Khan, M., (2016). New calibration estimators in stratified sampling. In Computer Science and Engineering (APWC on CSE), 3rd Asia-Pacific World Congress Nadi, Fijion, December 5–6, pp. 66–70, IEEE.

Rai, P. K., Singh, A., and Qasim, M., (2021). Calibration-based estimators using different distance measures under two auxiliary variables: a comparative study. Journal of Modern Applied Statisticsl Methods, 19(1), pp. 1–20.

Sarndal, C. -E., Swensson, B., and Wretman, J., (1992). Model assisted survey sampling. New York: Springer-Verlag Publishing, https://doi.org/10.1007/978-1-4612-4378-6.

Sisodia, B. V. S., Singh, S., and Singh, S. K., (2017). Calibration approach estimation of the mean in stratified sampling and stratified double sampling. Communications in Statistics – Theory and Methods, 46(10), pp. 4932–4942.

Tracey, D. S., Singh, S., and Arnab, R., (2003). Note on calibration in stratified and double Sampling. Survey Methodology, 29(1), pp. 99–104.

Back to top
© 2019–2024 Copyright by Statistics Poland, some rights reserved. Creative Commons Attribution-ShareAlike 4.0 International Public License (CC BY-SA 4.0) Creative Commons — Attribution-ShareAlike 4.0 International — CC BY-SA 4.0