While our subjects performed reasonably symmetrically for target animals presented on the horizontal axis, there was a clear bias in detection accuracy toward the upper visual hemisphere. This vertical asymmetry may have been caused by general differences in saliency and clutter between the upper and lower halves of the photographs used to create our stimuli: since we shifted the entire scene rather than moving the target object within the scene, the visible portion of the upper half of the stimulus image was larger when the target animal was presented in the lower visual hemisphere, and smaller when the animal was presented in the upper hemisphere. However, as our comparison between the 3 different experiments is based on the horizontal stimulus positions only, this did not influence the quality or validity of our main results. In general, the differences in the performance of our subjects between the 3 different experiments were surprisingly small; the average latencies were comparable to those shown in previous studies (e.g., Thorpe et al.,
1996). The approximate 10% difference in raw hit ratio between Experiment 1 and Experiments 2 and 3 was alleviated by the normalization of the data to identical scales. When looking at the horizontal target positions only, we did in fact find a statistically significant difference between Experiment 1 (8-Way) and Experiment 3 (2-Image) for both latency and hit ratio. Note that the average hit ratio was actually highest on Experiment 1 (8-Way, 81.3%), even though the number of possible target locations was 4 times as high as in Experiment 3 (2-Image, 76.6%). The difference in latency between the 8-Way experiment and the 2-Way experiments was also significant, with mostly faster latencies in Experiments 2 and 3 (2-Way/2-Image). Because of this, a speed/accuracy trade-off might explain some of the difference in hit ratio between Experiments 1 and 3—the difference in latency is about 4.3% relative (8.6 ms absolute), while the difference in hit ratio is 6.1% relative (4.7% absolute). A further comparison of the different experiments makes such a trade-off rather unlikely—the comparison between Experiments 1 (8-Way) and Experiment 2 (2-Way) shows no significant difference in hit ratio, although there is a significant difference in latency (6.3 ms), similar to the difference between Experiment 1 (8-Way) and Experiment 3 (2-Image). This 2-step difference between experiments (only latency differs between Experiment 1 and Experiment 2, only hit ratio differs between Experiment 2 and Experiment 3) suggests that the difference in hit ratio between Experiments 1 and 2 and Experiment 3 is caused primarily by the change in stimulus display (large, contiguous circle vs. 2 separate squares), while the difference in latency is caused primarily by the increase in target location alternatives (2 vs. 8). Based on these results, we conclude that while the actual stimulus area to be analyzed was larger in Experiment 2 compared to Experiment 3, classification in terms of hit ratio was actually facilitated by the contiguous stimulus display. The difference in response latency between Experiments 1 and 2 was only about 6.3 ms (around 3.1%) even though the number of alternative target locations changed from 2 to 8. This may be a surprising result, since, generally, Hick's law (Hick,
1952; Hyman,
1953) predicts decision latencies to increase with the logarithm of the number of alternative choices. However, saccadic responses do not always obey Hick's law (Kveraga, Boucher, & Hughes,
2002; Lee, Keller, & Heinen,
2005), and latencies can sometimes even exhibit an anti-Hicks effect, which has most recently been shown by Lawrence, St. John, Abrams, and Snyder (
2008). The experiment by Kveraga et al. was similar to our Experiment 1 with respect to several aspects: they also presented 8 targets on a circle of the same diameter as ours (10.5°), although they used simple targets (disks of 1° diameter) instead of natural scenes and objects. They did not find the increase in latency predicted by Hick's law; in fact, they found no significant difference in latency. While we found a statistically significant increase in latency, this difference was clearly not consistent with the log
2 increase predicted by Hick's law (3.1% real increase vs. 200% prediction). The similarity between paradigms makes it very likely that we observed the same behavioral effect that Kveraga et al. found, although in a slightly weaker form. One may speculate that Hick's law applies for tasks in which a selection has to be made, while in our experiment responses appear to have been mostly reflexive in nature.