African Journal of
Mathematics and Computer Science Research

  • Abbreviation: Afr. J. Math. Comput. Sci. Res.
  • Language: English
  • ISSN: 2006-9731
  • DOI: 10.5897/AJMCSR
  • Start Year: 2008
  • Published Articles: 254

Full Length Research Paper

A novel 2-character randomized response technique model applicable to real life situations

Olumide Charles Ayeni
  • Olumide Charles Ayeni
  • Department of Mathematical Sciences, Faculty of Science and Science Education, Anchor University, Lagos State, Nigeria.
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Femi Barnabas Adebola
  • Femi Barnabas Adebola
  • Department of Mathematical Sciences, School of Sciences, Federal University of Technology, Akure, Ondo State, Nigeria.
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Johnson Oladele Fatokun
  • Johnson Oladele Fatokun
  • Department of Mathematical Sciences, Faculty of Science and Science Education, Anchor University, Lagos State, Nigeria.
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  •  Received: 28 February 2021
  •  Accepted: 07 June 2021
  •  Published: 31 December 2021

Abstract

In this paper, we propose a model for estimating population proportion of a personality possessing two related sensitive attributes in survey sampling by extending Warner’s Randomized Response Technique (RRT). The proposed estimators are more efficient than Lee’s simple model estimators as the population proportion escalates. Our proposed model performs better than Lee’s crossed model estimators when applied in a survey carried out on University students in Southwest Nigeria in a research to estimate the population proportion of those with the dual sensitive characters of examination misconduct and premarital sex noted as two rampant character traits among undergraduates.

Key words: Randomized response technique, two-character model estimator, examination misconduct, premarital sex.