Abstract #300417


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JSM 2002 Abstract #300417
Activity Number: 314
Type: Contributed
Date/Time: Wednesday, August 14, 2002 : 10:30 AM to 12:20 PM
Sponsor: Section on Survey Research Methods*
Abstract - #300417
Title: A New Multinomial Distribution Approach To a Quantitative Randomized Response Technique
Author(s): Jong-Min Kim*+ and William Warde
Affiliation(s): University of Minnesota and Oklahoma State University
Address: Division of Statistics, Morris, Minnesota, 56267, USA
Keywords: Multinomial Distribution ; Response Design Matrix ; Multiple contrast method ; Product-Moment Correlation
Abstract:

A new quantitative randomized response technique is presented in this paper. The proposed technique will use a Hopkins' randomizing device to derive a multinomial distribution for sensitive categories. After obtaining the observed estimates for sensitive category proportions, which also include the random responses from the Hopkins' randomizing device, we derive the true estimates of the proportions for the sensitive categories in a situation where a model accounting for the respondent to lie is used. For contingency tables, we derive a Pearson product-moment correlation between two different sensitive questions.


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