Many psychological experiments have subjects repeat a task to gain the statistical precision
required to test quantitative theories of psychological performance. In such experiments,
time-on-task can have sizable effects on performance, changing the psychological
processes under investigation. Most research has either ignored these changes, treating the
underlying process as static, or sacrificed some psychological content of the models for
statistical simplicity. We use particle Markov chain Monte-Carlo methods to study …

Many psychological experiments have participants repeat a simple task. This repetition is
often necessary in order to gain the statistical precision required to answer questions about
quantitative theories of the psychological processes underlying performance. In such
experiments, time-on-task can have important and sizable effects on performance, changing
the psychological processes under investigation in interesting ways. These changes are
often ignored, and the underlying model is treated as static. We apply modern statistical …