Binomial tests are often used in sensory difference and preference testing.
Two assumptions underlie this use: (1) responses are independent and (2) c
hoice probabilities do not vary from trial to trial. In many applications,
the latter assumption is violated. In this paper we account for variation i
n inter-trial choice probabilities using the beta distribution. The result
of combining the binomial with the beta distribution is a compound distribu
tion known as the beta-binomial. We show how to use the beta-binomial model
for replicated difference and preference tests such as those used to suppo
rt product claims. (C) 2000 Elsevier Science Ltd. All rights reserved.