The Development of Audio-Visual Integration for Temporal Judgements
Fig 5
The partial integration model.
(a) An example bi-modal likelihood, centred on 1 flash and 3 beeps. The uni-modal marginals are shown alongside. (b) The coupling prior, and (c) the bi-modal likelihood after combination with the coupling prior; the peak of the distribution has shifted towards V = A. (d) The visual marginal (dashed green) is multiplied by the prior over the number of events (black) to give the posterior probability distribution of the number of visual events (solid green). (e) The posterior distribution for audition (solid red), given the prior over the number of events (black). Note that to allow easy comparison across the three models, the prior over the number of events is shown as a sequential step after the coupling prior is applied and the subsequent marginals are estimated. The two priors could equivalently be combined and applied in a single step. All plots show the averaged model fit across the set of observers (N = 36) who were best characterised by the PI model, as determined by comparing the likelihood of the data, given each of the three models.