On a 2 × 2 factorial design where the use of randomized response is one of the factors

In: Statistica Neerlandica: journal of the Netherlands Society for Statistics and Operations Research, Band 59, Heft 4, S. 434-447

Abstract

This paper discusses a survey where some respondents were asked sensitive questions directly and others were asked the same questions using randomized response. The use of randomized response was a factor in a 2 × 2 factorial design and dice were used to perform the randomization. First, the paper shows that the perturbation due to the dice can be described using the concept of misclassification and known conditional misclassification probabilities. Second, the paper formulates the likelihood for loglinear models and shows that latent class software can be used to analyse the data. An example including a power analysis is discussed.