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Estimation of small area total with randomized data

Ahmed, S.; Shabbir, J.; Gupta, S.; Coolen, F.P.A.

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S. Ahmed

J. Shabbir

S. Gupta


In social surveys involving questions that are sensitive or personal in nature, respondents may not provide correct answers to certain questions asked by the interviewer. The impact of this nonresponse or inaccurate response becomes even more acute in the case of small area estimation (SAE) where we already have the problem of small sample size coming from the small area. To obtain a truthful response, we use randomized response techniques in each small area. We assume that a non-sensitive auxiliary variable, highly correlated with the study variable, is available. We use the word model in two senses — one in the context of population models, i.e. the relationship between the study variable and the auxiliary variable; and second, the scrambled response model. We focus on the problem of estimating small area total and examine its performance both theoretically and numerically.

Journal Article Type Article
Acceptance Date Sep 25, 2019
Online Publication Date Apr 30, 2020
Publication Date Apr 30, 2020
Deposit Date Oct 7, 2019
Publicly Available Date Jun 3, 2020
Journal Revstat Statistical Journal
Print ISSN 1645-6726
Publisher Instituto Nacional de Estatística
Peer Reviewed Peer Reviewed
Volume 18
Issue 2
Pages 223-235
Public URL
Publisher URL


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