A Survey Design for a Sensitive Binary Variable Correlated with Another Nonsensitive Binary Variable
Joint Authors
Lu, Yang
Yu, Jun-Wu
Tian, Guo-Liang
Source
Journal of Probability and Statistics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-06-23
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
Tian et al.
(2007) introduced a so-called hidden sensitivity model for evaluating the association of two sensitive questions with binary outcomes.
However, in practice, we sometimes need to assess the association between one sensitive binary variable (e.g., whether or not a drug user, the number of sex partner being ⩽1 or >1, and so on) and one nonsensitive binary variable (e.g., good or poor health status, with or without cervical cancer, and so on).
To address this issue, by sufficiently utilizing the information contained in the non-sensitive binary variable, in this paper, we propose a new survey scheme, called combination questionnaire design/model, which consists of a main questionnaire and a supplemental questionnaire.
The introduction of the supplemental questionnaire which is indeed a design of direct questioning can effectively reduce the noncompliance behavior since more respondents will not be faced with the sensitive question.
Likelihood-based inferences including maximum likelihood estimates via the expectation-maximization algorithm, asymptotic confidence intervals, and bootstrap confidence intervals of parameters of interest are derived.
A likelihood ratio test is provided to test the association between the two binary random variables.
Bayesian inferences are also discussed.
Simulation studies are performed, and a cervical cancer data set in Atlanta is used to illustrate the proposed methods.
American Psychological Association (APA)
Yu, Jun-Wu& Lu, Yang& Tian, Guo-Liang. 2013. A Survey Design for a Sensitive Binary Variable Correlated with Another Nonsensitive Binary Variable. Journal of Probability and Statistics،Vol. 2013, no. 2013, pp.1-11.
https://search.emarefa.net/detail/BIM-501281
Modern Language Association (MLA)
Yu, Jun-Wu…[et al.]. A Survey Design for a Sensitive Binary Variable Correlated with Another Nonsensitive Binary Variable. Journal of Probability and Statistics No. 2013 (2013), pp.1-11.
https://search.emarefa.net/detail/BIM-501281
American Medical Association (AMA)
Yu, Jun-Wu& Lu, Yang& Tian, Guo-Liang. A Survey Design for a Sensitive Binary Variable Correlated with Another Nonsensitive Binary Variable. Journal of Probability and Statistics. 2013. Vol. 2013, no. 2013, pp.1-11.
https://search.emarefa.net/detail/BIM-501281
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-501281