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Reproducibility of Statistical Tests Based on Randomised Response Data

Alghamdi, Fatimah M.; Coolen, Frank P. A.; Coolen-Maturi, Tahani

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Fatimah M. Alghamdi


Reproducibility of experimental conclusions is an important topic in various fields, including social studies. The lack of reproducibility in research results not only limits scientific progress, but also wastes time, resources, and undermines society’s confidence in scientific findings. This paper focuses on the statistical reproducibility of hypothesis test outcomes based on data collected using randomised response techniques (RRT). Nonparametric predictive inference (NPI) is used to quantify reproducibility, which is well-suited to treat reproducibility as a prediction problem. NPI relies on few model assumptions and provides lower and upper bounds for reproducibility probabilities. This paper concludes that less variability in the reported responses of RRT methods leads to higher reproducibility of statistical hypothesis tests based on RRT data with the same degree of privacy.


Alghamdi, F. M., Coolen, F. P. A., & Coolen-Maturi, T. (2024). Reproducibility of Statistical Tests Based on Randomised Response Data. Journal of statistical theory and practice, 18(1), Article 13.

Journal Article Type Article
Acceptance Date Jan 17, 2024
Online Publication Date Feb 22, 2024
Publication Date 2024-03
Deposit Date Apr 4, 2024
Publicly Available Date Apr 4, 2024
Journal Journal of Statistical Theory and Practice
Electronic ISSN 1559-8616
Publisher Springer
Peer Reviewed Peer Reviewed
Volume 18
Issue 1
Article Number 13
Public URL


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