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A new estimator of proportion with a linear function using data from two-decks randomized response model |
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| Authors: | Augustus Jayaraj Stephen A Sedory Oluseun Odumade |
| Institution: | 1. Department of Statistical Science, Cornell University, Ithaca, New York, USA;2. Department of Mathematics, Texas A&3. M University–Kingsville, Kingsville, Texas, USA;4. Deloitte, Minneapolis, MN, USA |
| Abstract: | A new estimator for estimating the proportion of a potentially sensitive attribute in survey sampling has been introduced by solving a linear equation. The proposed estimator has been compared with the estimator proposed by Odumade and Singh (2009) with equal protection to all of the respondents. The asymptotic properties of the proposed estimator are investigated through exact numerical illustrations for different choices of parameters. A non randomized response approach has been suggested. A scope for further research has also been pointed out. |
| Keywords: | Randomized response sampling Estimation of proportion Mean square error Relative efficiency |