Gazi University Journal of Science, volume 38, issue 1, pages 460-472

Forced Response in Dichotomous Randomised Response Technique

Olusegun Sunday Ewemooje 1, 2
, 
Odunayo Elizabeth Adaraniwon 1
, 
Wilford Molefe 2
, 
Femi Barnabas Adebola 1
1
 
2
 
Publication type: Journal Article
Publication date: 2025-03-01
scimago Q3
SJR: 0.211
CiteScore: 1.6
Impact factor: 1
ISSN: 13039709, 21471762
Abstract
In sample survey research when sensitive information such as illegal drug usage, rape, examination malpractices among students, induced abortion and the likes are to be obtained from individuals or respondents, false or no response is imminent. To correct this bias, this paper proposes a new randomized response model by incorporating the unrelated question in force-response technique. The unbiased estimate and variance of the proposed model were also obtained. The proposed randomized response model is then compared with the Alternative Unbiased Estimator in Unrelated Dichotomous Randomized Response Model, (AEUDRRT) and Alternative Unbiased Estimator in Dichotomous Randomized Response Model, (AEDRRT). The numerical investigation shows that the variance of the proposed model reduces while the V(AEUDRRT) and V(AEDRRT) increases as the sensitive issues increases. Hence, the proposed model has percentage relative efficiency (PRE) as high as 1195.45% and 1977.20% over AEUDRRT and AEDRRT, respectively. Also, the application of the proposed method revealed that it is practically more efficient in estimating the proportion of people involved in sensitive character (cyber threat) than the direct method of data collection. Therefore, the proposed technique is shown to be more efficient than conventional ones.
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