COMPARING PROPORTIONS OF SENSITIVE ITEMS IN TWO POPULATIONS WHEN USING POISSON AND NEGATIVE BINOMIAL ITEM COUNT TECHNIQUES

Sensitive attributes are extremely difficult to be measured directly. Recently new indirect methods of questioning, called Poisson and negative binomial item count techniques, have been proposed by [Tian et al. 2014]. This paper focuses on important problem of comparing proportions of sensitive items in two populations when using new indirect method. Proper statistical theory is introduced, including tests for equality of two sensitive proportions followed by derivation of their asymptotic power functions. Simulation studies are conducted to illustrate the problem.