On the Relative Efficiency of Randomized Response Models

The variance of the maximum likelihood estimator in each of the one- and two-sample alternate question randomized response models is compared to that of the original Warner model. In both cases, the former variance is shown to be uniformly less than that of the latter for all values of the parameter...

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Bibliographic Details
Published in:Journal of the American Statistical Association 1975-03, Vol.70 (349), p.84-87
Main Authors: Dowling, T. A., Shachtman, Richard H.
Format: Article
Language:English
Subjects:
Estimation methods
Estimators
Maximum likelihood estimators
Modeling
Proportions
Random allocation
Random sampling
Sample size
Statistical variance
Theory and Methods
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Summary:The variance of the maximum likelihood estimator in each of the one- and two-sample alternate question randomized response models is compared to that of the original Warner model. In both cases, the former variance is shown to be uniformly less than that of the latter for all values of the parameter being estimated and appropriate ranges for the design parameters.
ISSN:0162-1459
1537-274X
DOI:10.1080/01621459.1975.10480266