Goodness-of-fit tests for models of latency and choice

A goodness-of-fit test based on the maximum likelihood criterion is derived for use in evaluating models of choice reaction time that predict choice probabilities and means and variances of latency. Special cases of the test involving models that predict only one or two of these statistics are considered and shown to be asymptotically identical to the traditional goodness-of-fit tests appropriate for these special cases.