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Abstract
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Article Information:
A Mixed-Stratified Randomized Response Model for HIV Seroprevalence Surveys
A. Usman and I.O. Oshungade
Corresponding Author: A. Usman
Submitted: May 06, 2012
Accepted: July 18, 2012
Published: |
Abstract:
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The objectives were to use research frontier to devise a mixed-stratified Randomized Response Model
(RRM) and use same to estimate HIV seroprevalence rates in a given population and compare results with the
existing seroprevalence rates. The Randomized Response Techniques (RRT) guarantees the anonymity of
respondents in surveys aimed at determining the frequency of stigmatic, embarrassing or criminal behavior where
direct techniques for data collection may induce respondents to refuse to answer or give false responses. The
motivation was to improve upon the existing RRMs as well as to apply them to estimate HIV seroprevalence rates.
Warner proposed the pioneering RRM for estimating the proportion of persons bearing a socially disapproved
character. Quatember produced unified criteria for all RRTs, Kim and Warde proposed a stratified RRM and so
many others. The proposed mixed-stratified RRM for HIV seroprevalence surveys was relatively more efficient than
the Kim and Warde stratified estimator for a fixed sample size. Using the criteria of Quatember who derived the
statistical properties of the standardized estimator for general probability sampling and privacy protection, the
chosen design parameter was 0.7. The procedure of the field work and sampling design were well coordinated for
the target population of 3,740 people aged 18 years and above using a sample size of 550. Furthermore, the model
was used to estimate the HIV seroprevalence rate in a small population of adults attending a clinic in Kaduna,
Nigeria. The findings revealed that HIV seroprevalence rate, as estimated by the Model, stood at 8.74% with a
standard error of 0.0134 and a 95% confidence interval of (6.1 and 11.4%). These results are consistent with that of
Nigerian sentinel survey (2003) conducted by NACA, USAID and CDC which estimated the HIV seroprevalence in
Kaduna State as 6.0%. Accordingly, the sentinel projected seroprevalence rate, using the Epidemic Projection
Package (EPP), for the next ten years (2013) was 9.7%; very consistent with the 95% confidence interval. Hence,
the RRTs herein can serve as new viable methods for HIV seroprevalence surveys.
Key words: Design parameter , efficiency, mixed-stratified, randomized response models, randomized response techniques, sentinel surveys, seroprevalence rates, stratified random sampling
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Cite this Reference:
A. Usman and I.O. Oshungade, . A Mixed-Stratified Randomized Response Model for HIV Seroprevalence Surveys. Research Journal of Mathematics and Statistics, (3): 70-75.
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ISSN (Online): 2040-7505
ISSN (Print): 2042-2024 |
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