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Abstract Details
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Activity Number:
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625
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Type:
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Contributed
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Date/Time:
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Thursday, August 4, 2011 : 8:30 AM to 10:20 AM
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Sponsor:
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Section on Survey Research Methods
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| Abstract - #301828 |
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Title:
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Estimation of Finite Population Variance Using Scrambled Responses in the Presence of Auxiliary Information
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Author(s):
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Sarjinder Singh*+ and Stephen A. Sedory and Raghunath Arnab
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Companies:
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Texas A & M University at Kingsville and Texas A & M University at Kingsville and University of Botswana
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Address:
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, , ,
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Keywords:
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Randomized Response Sampling ;
Sensitive Variables ;
Variance Estimation ;
Efficiency ;
Finite population ;
Auxiliary information
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Abstract:
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In this paper, a new estimator for estimating the finite population variance of a sensitive variable based on scrambled responses collected using a randomization device is introduced. The estimator is then improved by using known auxiliary information. The estimators due to Das and Tripathi (1978: Sankhya) and Isaki (1983: JASA) are shown to be special cases of the proposed estimator. Numerical simulations are performed to study the magnitude of the gain in efficiency when using the estimator with auxiliary information with respect to the estimator based only on the scrambled responses. An idea to extend the present work from SRSWOR design to more complex design is also given.
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