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An unbiased regression type estimator of proportion in randomized response sampling by using analysis of variance mechanism

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  • Daryan Naatjes
  • Stephen A. Sedory
  • Sarjinder Singh

Abstract

In this article, two new estimators of population proportion of a sensitive characteristic are introduced by using a method analogous to Analysis of Variance (ANOVA). Then, a new unbiased regression type estimator is developed by utilizing these two estimators. The proposed estimator is, then, compared with its competitor at the same level of protection of the respondents. Also included is a study, based on data collected during summer 2021, of the currently hot topic of estimating the proportion of students, 18 years and older, returning to schools in fall 2021, who tested positive for COVID-19.

Suggested Citation

  • Daryan Naatjes & Stephen A. Sedory & Sarjinder Singh, 2024. "An unbiased regression type estimator of proportion in randomized response sampling by using analysis of variance mechanism," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 53(14), pages 5210-5217, April.
    • Handle: RePEc:taf:lstaxx:v:53:y:2024:i:14:p:5210-5217
    DOI: 10.1080/03610926.2023.2214296
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