RT Journal Article A1 Vincent, Benjamin T. A1 Baddeley, Roland J. A1 Troscianko, Tom A1 Gilchrist, Iain D. T1 Optimal feature integration in visual search JF Journal of Vision JO JOV YR 2009 DO 10.1167/9.5.15 JF Journal of Vision VO 9 IS 5 SP 15 OP 15 SN 1534-7362 AB Despite embodying fundamentally different assumptions about attentional allocation, a wide range of popular models of attention include a max-of-outputs mechanism for selection. Within these models, attention is directed to the items with the most extreme-value along a perceptual dimension via, for example, a winner-take-all mechanism. From the detection theoretic approach, this MAX-observer can be optimal under specific situations, however in distracter heterogeneity manipulations or in natural visual scenes this is not always the case. We derive a Bayesian maximum a posteriori (MAP)-observer, which is optimal in both these situations. While it retains a form of the max-of-outputs mechanism, it is based on the maximum a posterior probability dimension, instead of a perceptual dimension. To test this model we investigated human visual search performance using a yes/no procedure while adding external orientation uncertainty to distracter elements. The results are much better fitted by the predictions of a MAP observer than a MAX observer. We conclude a max-like mechanism may well underlie the allocation of visual attention, but this is based upon a probability dimension, not a perceptual dimension. RD 12/10/2019 UL https://doi.org/10.1167/9.5.15