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PreprintCC BY 4.0arXiv

Robustness against lying of the confidence interval for a fraction of population with a sensitive characteristic

  • Wojciech Zieliński
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Abstract

In the investigations devoted to sensitive questions the problem is with the truthfulness of survey participants. We offer a fresh perspective on respondent deception. We investigate the influence of lying on the properties of the confidence intervals for the fraction of the sensitive part of a population. It is shown that the coverage probability is robust against lying.

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Cite

BibTeXRIS
BibTeX
@misc{zielinski2026robustness,
  title = {{Robustness against lying of the confidence interval for a fraction of population with a sensitive characteristic}},
  author = {Wojciech Zieliński},
  howpublished = {arXiv},
  year = {2026},
  month = nov,
  doi = {10.48550/arxiv.2611.03481},
  eprint = {2611.03481},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2611.03481},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Robustness against lying of the confidence interval for a fraction of population with a sensitive characteristic
AU  - Wojciech Zieliński
PY  - 2026
DA  - 2026/11/02
PB  - arXiv
DO  - 10.48550/arxiv.2611.03481
UR  - https://arxiv.org/abs/2611.03481
AB  - In the investigations devoted to sensitive questions the problem is with the truthfulness of survey participants. We offer a fresh perspective on respondent deception. We investigate the influence of lying on the properties of the confidence intervals for the fraction of the sensitive part of a population. It is shown that the coverage probability is robust against lying.
ER  -