AI Article Synopsis

  • The text discusses the challenge of unit non-response in surveys, where not all participants provide answers, complicating the estimation of totals.
  • It emphasizes the importance of auxiliary information from subpopulations (domains) to improve estimations, and suggests that even positively skewed supportive information can still lead to accurate results.
  • The proposed method integrates power-based estimation with calibration techniques, demonstrating through simulations that this combined approach offers better accuracy for estimating small domains compared to traditional methods.

Article Abstract

In the real-world, there are various situations when all units are not accessible of the respondent called unit non-response. The effect of unit non-response is a tricky matter for estimating the total number of unit. The present work highlights the interest about subpopulations (domains) in two affairs: i. if domains total of the supportive information is accessible ii. if domains total of the supportive variable does not access. The government needs to be introducing the actual facilities in these small domains. The supportive information is used to find out the estimate of the non respondent information and to apply this information for desired domains. Sometimes, it has been found that the accessible auxiliary variable for the domains might be positive shape. Therefore, it develops an appropriate model that has positive skewness. The present context highlighted the indirect method using a power-based estimation with calibration approach. By combining power based estimation and calibration technique, it is possible to obtain more accurate estimates for intended small domains. Even the supportive information is positively biased. This approach helps us in mitigating the effect of non-respondent and improving the overall reliability of the estimators. The simulation was conducted for different sizes 70 and 90 when nonresponse variable in the study variable. The results show that investigated power-based estimate provides better option over relevant exponential, ratio, and generalized regression estimators for intended domains.

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Source
http://www.ncbi.nlm.nih.gov/pmc/articles/PMC10963203PMC
http://dx.doi.org/10.1016/j.heliyon.2024.e26897DOI Listing

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