Two-sample Non Randomized Response Techniques for Sensitive Questions |
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| Authors: | Man-Lai Tang Qin Wu Guo-Liang Tian Jian-Hua Guo |
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| Institution: | 1. Department of Mathematics and Statistics , Hang Seng Management College , Hong Kong , China;2. School of Mathematical Sciences , South China Normal University , Guangzhou , China;3. Department of Statistics and Actuarial Science , The University of Hong Kong , Hong Kong , P.R. China;4. School of Mathematics and Statistics , Northeast Normal University , Jilin Province , P.R. China |
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| Abstract: | The problem facing most researchers is how to encourage participants to respond, and then to provide truthful response in surveys with sensitive questions. In this article, we consider a non randomized triangular model for testing the equality of the proportions of people with a sensitive characteristic between two independent populations. We derive the Wald, score, and likelihood ratio tests. Their respective sample size formulae are developed as well. Simulation studies are conducted to evaluate the performance of the three proposed test procedures, which show that the score test outperforms the other two. |
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| Keywords: | Non randomized triangular model Score test Sensitive surveys Wald test |
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