Decision conflicts: Within-trial resampling in Richardson's method of triads

A unidimensional model is derived which can provide the probability that the same two stimuli will be perceived to be most alike and most different in Richardson's method of triads under the assumption that resampling occurs within a trial. This probability is shown to depend on the extent to which the stimulus distributions overlap and their relative locations on a unidimensional continuum. Recommendations on how to estimate this probability experimentally are given.