Zero-truncated Binomial Distribution as a Randomization Device

In this article, we consider the use of the zero-truncated binomial distribution as a randomization device while estimating the population proportion of a sensitive characteristic. The resultant new estimator based on the zero-truncated binomial distribution is then compared to its competitors from...

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Bibliographic Details
Published in:Sociological methods & research 2022-05, Vol.51 (2), p.800-815
Main Authors: Zapata, Zakry, Sedory, Stephen A., Singh, Sarjinder
Format: Article
Language:English
Subjects:
Binomial distribution
Comparative Analysis
Competitors
Efficiency
Research Methodology
Responses
Social Science Research
Statistical Analysis
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Summary:In this article, we consider the use of the zero-truncated binomial distribution as a randomization device while estimating the population proportion of a sensitive characteristic. The resultant new estimator based on the zero-truncated binomial distribution is then compared to its competitors from both the efficiency and the protection point of views. The situations where the proposed new estimator performs better are reported. R codes are also included.
ISSN:0049-1241
1552-8294
DOI:10.1177/0049124119882469