On an Indirect Response Model
Document Type
Book Chapter
Publication Title
Handbook of Statistics
Abstract
It is now part of folklore that when the statistician has to collect data on characteristics that are either too personal, sensitive, or stigmatizing; randomized response (RR) techniques are used. There is a large number of such randomized response models in the literature. In this article, we propose and study a new indirect response model. We then derive a method of moments estimator for the unknown population mean of a stigmatizing variable, under the proposed model. We establish that if we decide to use noise added sensitive and innocuous responses then there is no need to do randomization on the responses, more specifically, it suffices to use just the noise added sensitive response. We then explore the possibility of obtaining an estimator based on maximization of likelihood or pseudolikelihood function. We then work in the Bayesian framework to explore the possibility of obtaining a Bayes or Bayeslike estimator based on the posterior distribution.
First Page
497
Last Page
513
DOI
10.1016/bs.host.2016.01.027
Publication Date
1-1-2016
Recommended Citation
Padmawar, V. R., "On an Indirect Response Model" (2016). Book Chapters. 246.
https://digitalcommons.isical.ac.in/book-chapters/246
