Modelling subjective use of an ordinal response scale in a many period crossover experiment

The analysis of psychoacoustic experiments in telecommunications research motivates the modelling of a repeated ordinal response by using logit models in which subject effects are both additive and multiplicative. Estimation by maximum likelihood and using Markov chain Monte Carlo methods is discussed, and the results are compared. The models and methods used are of potential value in many other applied contexts which involve a subjective interpretation of response category labels. Copyright 2002 The Royal Statistical Society.