Estimation Through Calibration Under Stratified Sampling with Non-Response and Measurement Error Effects

In survey sampling, the presence of non-response and measurement error often leads to biased and inefficient estimates, particularly in stratified random sampling designs. This study introduces a new calibration estimation technique for stratified sampling that effectively accounts for non-response and measurement error. By incorporating auxiliary data and optimizing calibrated weights, the proposed estimator minimizes bias and enhances efficiency. The estimator employs auxiliary information through calibrated weights derived using a chi-square-type distance function. Furthermore, the performance of the suggested calibration estimator has been compared with that of the Hansen and Hurwitz’ estimator, the separate ratio-type estimator and the Singh’s estimator. To validate the efficiency and superiority of the proposed method over traditional estimators, an empirical evaluation has been carried out using simulated datasets. The comparative assessment with existing estimators demonstrates that the proposed method provides improved precision and robustness.

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Publication Details

Journal
Mathematics
Published
2026-01-27
DOI
https://doi.org/10.3390/math14030439
Primary Topic
Survey Sampling and Estimation Techniques
Type
article
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article

Estimation Through Calibration Under Stratified Sampling with Non-Response and Measurement Error Effects

Nishtha Bhardwaj, Mustafa M. Hasaballah, Manoj K. Chaudhary, Mahmoud M. Abdelwahab
Mathematics
Survey Sampling and Estimation Techniques
article

Estimation Through Calibration Under Stratified Sampling with Non-Response and Measurement Error Effects

Nishtha Bhardwaj, Mustafa M. Hasaballah, Manoj K. Chaudhary, Mahmoud M. Abdelwahab
article en

Abstract

In survey sampling, the presence of non-response and measurement error often leads to biased and inefficient estimates, particularly in stratified random sampling designs. This study introduces a new calibration estimation technique for stratified sampling that effectively accounts for non-response and measurement error. By incorporating auxiliary data and optimizing calibrated weights, the proposed estimator minimizes bias and enhances efficiency. The estimator employs auxiliary information through calibrated weights derived using a chi-square-type distance function. Furthermore, the performance of the suggested calibration estimator has been compared with that of the Hansen and Hurwitz’ estimator, the separate ratio-type estimator and the Singh’s estimator. To validate the efficiency and superiority of the proposed method over traditional estimators, an empirical evaluation has been carried out using simulated datasets. The comparative assessment with existing estimators demonstrates that the proposed method provides improved precision and robustness.

MathematicsVol. 14(3)
Imam Mohammad ibn Saud Islamic University (SA), Higher Institute of Engineering (EG), Banaras Hindu University (IN)
Openalex Percentile: Top 79%
Survey Sampling and Estimation Techniques
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Estimation Through Calibration Under Stratified Sampling with Non-Response and Measurement Error Effects — Nishtha Bhardwaj, Mustafa M. Hasaballah, et al. · Mathematics (2026) | TGRS Research Map | TGRS