Variations of the Greenberg Unrelated Question binary model

UNCG Author/Contributor (non-UNCG co-authors, if there are any, appear on document)
David Perez-Suarez (Creator)
Institution
The University of North Carolina at Greensboro (UNCG )
Web Site: http://library.uncg.edu/
Advisor
Sat Gupta

Abstract: We explore different variations of the Greenberg Unrelated Question RRT model for a binary response (yes or no). In one variation, we allow m independent responses from each respondent. In another variation, we use inverse sampling where we record the number of responses leading up to the kth "yes" response. It turns out that for m > 1, the variance (theoretical and empirical) of the multiple independent response model decreases significantly relative to the regular Greenberg et al. (1969) model (m = 1). Furthermore, it was also noticed that for k > 1, the variance (theoretical and empirical) of the inverse sampling model decreases significantly as well relative to the inverse sampling model for k = 1. Thus, it turns out that both variations produce more efficient models. These results have been validated by theoretical comparisons, extensive computer simulations, and a field survey.

Additional Information

Publication
Thesis
Language: English
Date: 2018
Keywords
Efficiency, Fieldwork Validation, Greenberg, Inverse Sampling, RRT models, Simulation Results
Subjects
Sampling (Statistics)
Surveys $x Statistical methods

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