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Assessing the Effect of Nonresponse and Measurement Error Using a Novel Class of Efficient Estimators

Author

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  • Kuldeep Kumar Tiwari
  • Sandeep Bhougal
  • Sunil Kumar
  • Ronald Onyango

Abstract

The purpose of any statistical analysis is to uncover the trend using real situations and provide an accurate model for future policies. In order to fulfill this aim, it is important to collect and use the data carefully and minimize the possibility of various types of errors. Nonresponse (NR) and measurement error (ME) are the two major types of nonsampling error that occur in almost every survey. We propose an estimator of the population mean and study its efficacy in the combined and separate effects of NR and ME. Some existing estimators are also considered for comparison. A simulation study was performed to see its efficiency numerically.

Suggested Citation

  • Kuldeep Kumar Tiwari & Sandeep Bhougal & Sunil Kumar & Ronald Onyango, 2022. "Assessing the Effect of Nonresponse and Measurement Error Using a Novel Class of Efficient Estimators," Journal of Mathematics, John Wiley & Sons, vol. 2022(1).
    • Handle: RePEc:wly:jjmath:v:2022:y:2022:i:1:n:4946265
    DOI: 10.1155/2022/4946265
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    References listed on IDEAS

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    1. F. Kreuter & K. Olson & J. Wagner & T. Yan & T. M. Ezzati‐Rice & C. Casas‐Cordero & M. Lemay & A. Peytchev & R. M. Groves & T. E. Raghunathan, 2010. "Using proxy measures and other correlates of survey outcomes to adjust for non‐response: examples from multiple surveys," Journal of the Royal Statistical Society Series A, Royal Statistical Society, vol. 173(2), pages 389-407, April.
    2. Sat Gupta & Javid Shabbir, 2008. "On improvement in estimating the population mean in simple random sampling," Journal of Applied Statistics, Taylor & Francis Journals, vol. 35(5), pages 559-566.
    3. Nelson Kiprono Bii & Christopher Ouma Onyango & John Odhiambo, 2020. "Estimation of a Finite Population Mean under Random Nonresponse Using Kernel Weights," Journal of Probability and Statistics, Hindawi, vol. 2020, pages 1-9, April.
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