The average signal intensity threshold across observers for each condition is shown in
Figure 3. Note that the average threshold in the standard global motion condition, which has comparable parameters to that used by Amano et al. (
2009), is considerably higher than previous estimates (∼15%). However, this may be due to a combination of employing naïve observers and omitting a proportion of carrier orientations during construction of the stimulus in the current experiment.
A one-way, repeated-measures analysis of variance (ANOVA) revealed a significant effect of condition, F(4, 56) = 16.6 p < 0.001. Posthoc comparisons were run to evaluate differences between selected conditions, using a Bonferroni correction to adjust for multiple comparisons. There was no difference between the signal phase shift and contrast spike conditions, p = 1.0, 95% CIs [−14.8; 6.8], while the average thresholds were lower in these conditions than in the standard global motion condition, ps < 0.001, CIs [−14.8, −44.1], [−11.3, −39.7], respectively. The mean threshold in the common-fate condition was lower than in the standard global motion condition, p = 0.04, CIs [−38.7, −0.7], while also higher than in the signal phase shift condition, p = 0.02, CIs [1.1, 18.4], but not the contrast spike condition, p = 1.0, CIs [−6.1, 17.7]. This indicates that, perhaps unsurprisingly, even this form of common-fate is an effective segmentation cue; however, it also demonstrates that it cannot (alone) account for the improvement in performance observed in the signal phase shift condition. In other words, the strength of the common-fate cue was not as robust as the (phase shift) temporal synchrony cue. These results also suggest that the phase shift may be stronger cue for segmentation than the contrast spike.
The average threshold in the signal + noise phase shift condition was lower than in the standard global motion condition, p = 0.02, CIs [−32.8, −2.4], indicating that attempting to group both signal and noise elements together with a 180° phase shift did not have a deleterious effect on performance, as we had anticipated. The mean threshold in this condition was the same as in the common-fate condition, p = 1.0, CIs [−10.4, 14.6]; thus, it is likely that phase shifting all the elements had no additional effect as there was no signal-versus-noise distinction, so the difference in threshold between the signal + noise phase shift and standard global motion conditions simply reflects the influence of common-fate segmentation. Interestingly, this suggests that a large field contrast reversal does not mask a subsequent motion onset.
We are confident that exclusion of orientations around 90° during the construction of the stimulus was sufficient to prevent the task from being performed without pooling across a number of signal elements. Indeed, in the signal phase shift and contrast spike conditions, the average threshold number of elements required to perform the task ranged from 40–50, showing that the presence of a considerable number of signal elements was necessary to extract the global 2D solution. However, given the importance of distinguishing between observers using temporal synchrony as a cue to segment signal from noise elements and using it to selectively attend to a single element, in order to perform the task, we ran a control experiment to further scrutinize this possibility.