Psychophysics results: psychometric functions, visual weights and audiovisual variances. In audiovisual (AV) conditions, psychometric functions were fitted to the fraction of “right” location responses plotted as a function of the mean AV location. Data were fitted separately for audiovisual spatially congruent (△AV = 0°) and slightly conflicting conditions (△AV = ±6° with △AV = A - V). The empirical visual weight is computed from PSE locations of the audiovisual spatially conflicting psychometric functions (see equation 2). If the visual weight is >0.5, the PSE for △AV = -6° is left of the PSE for △AV = 6°. If the visual weight is smaller than 0.5, the PSE for △AV = -6° is right of the PSE for △AV = 6°. If the visual weight is equal to 0.5, the PSEs for △AV = -6° and △AV = 6° are identical. A–D, Psychometric functions for audiovisual spatially congruent and conflicting trials are plotted separately for the four conditions in our 2 (visual reliability: high, VR+ vs. low, VR-) x 2 (modality-specific report: auditory versus visual) factorial design. E, In unisensory conditions, psychometric functions were fitted to the fraction of “right” location responses plotted as a function of the signal location from unisensory auditory (A) and visual conditions of high (V, VR+) and low (V, VR-) visual reliability. F, Visual weights (mean ± SEM across participants): MLE predicted and empirical weights for the four conditions in our 2 (visual reliability: high, VR+ vs. low, VR-) x 2 (modality-specific report: auditory versus visual) factorial design. To facilitate the comparison with the MLE predictions that do not depend on modality-specific report, the visual weights are also plotted after pooling the data across both report conditions and re-fitting the neurometric functions. G, Standard deviations (σ, mean ± SEM across participants): Unisensory and audiovisual MLE-predicted and empirical standard deviations of the perceived spatial locations for the same combination of conditions as in F. For illustrational purposes, standard deviations were normalized by the auditory standard deviation (original auditory standard deviation = 39 ± 1.25; mean ± SEM).