We calculated the percentage of correct and wrong answers in each prime group. In experiments 1–4, a “correct answer” was an answer that matched the Kanizsa display type (i.e., for the Kanizsa display, reports of ‘triangle’ are considered correct and reports of ‘square’ or ‘no shape’ wrong, while for the no-Kanizsa display, ‘no-shape’ is considered correct and the others wrong). In experiment 5, where the Kanizsa triangle could appear either on the left side or the right side, a “correct answer” is one that matches the location in which the Kanizsa display appeared. Reaction times (RT) were also analyzed, yet with no prior hypothesis as this was not a speeded task. Indeed, no substantial effects were found in RT, and we focus here on the analyses of correct responses (but see Supplementary materials for RT results).
In Experiment 1, when a triangle Kanizsa display was presented, participants who received a Pac-Man gameboard prime were less than half as likely to report seeing a triangle than participants who were primed with a scrambled version of the same gameboard (42.9% vs. 87.8% respectively; \({\chi }^{2}\)(1, N = 98) = 21.80; p < 0.001, \(\phi\) = 0.472). These findings were supported by Bayesian analysis, providing extreme evidence for a presence of an effect32 (\({BF}_{10}\) = 18248.884). In the control condition, in which a no-Kanizsa display was presented, there was no difference between the groups in accuracy (i.e., reporting no shape; Pac-Man prime: 32.7%, scrambled prime: 54%; \({\chi }^{2}\)(1, N = 102) = 4.72; p = 0.654, \(\phi\) = 0.215, though with an inconclusive \({BF}_{10}\) = 2.473). A post-hoc analysis showed that the semantic prime actually reduced seeing the Kanizsa to the same degree as when no Kanizsa shape was even displayed (reporting seeing nothing in the Kanizsa display with the Pac-Man prime vs. in the no-Kanizsa display with the Pac-Man prime: 28.6% vs. 32.7%; \({\chi }^{2}\)(1, N = 101) = 0.20; p = 0.654, \(\phi\) = -0.045, \({BF}_{10}\) = 0.249), suggesting that the semantic prime abolished the illusion altogether.
Yet an alternative interpretation is that participants failed to see the shape not due to the semantic activation evoked by the prime, but due to attentional engagement by the prime image 33. Possibly, as the prime gameboard was more interesting than its scrambled version, it might have engaged participant’s attention, leaving too few resources to detect the upcoming Kanizsa shape within the rich, crowded display. To test this interpretation, in Experiment 2 the prime was either an unrelated image (a gift box), created to resemble the gameboard used in Experiment 1 in terms of color and usage of dots, or a scrambled version of that image. Here, participants were as likely to provide an accurate answer when the triangle Kanizsa display was presented (gift box prime: 82.7%; scrambled prime: 82.4%; \({\chi }^{2}\)(1, N = 103) < 0.01; p = 0.964, \(\phi\) = -0.004, \({BF}_{10}\) = 0.185) and when it was not (gift box prime: 59.6%; scrambled prime: 52.0%; \({\chi }^{2}\)(1, N = 97) = 0.56; p = 0.453, \(\phi\) = -0.076, \({BF}_{10}\) = 0.326). This result suggests that the effects found in Experiment 1 could not be easily explained by the mere meaningfulness of the prime, but rather that they depend on the meaning of that prime being related to the Pac-Man game.
Next, we tested if the effect can be evoked also by a verbal prime, to exclude any possibility that priming was driven by some perceptual features. In Experiment 3, the prime was accordingly the Hebrew word “פקמן” (Pac-Man), or a corresponding non-word “פלמן” (Pal-Man). Again, an effect was found, such that when a Kanizsa triangle display was presented, participants in the Pac-Man word prime group were less likely to report seeing a triangle than in the non-word prime group (46.0% vs. 88.2% respectively; \({\chi }^{2}\) (1, N = 101) = 20.47; p < 0.001, \(\phi\) = 0.450, \({BF}_{10}\) = 8651.865). Again, no difference in accuracy was found in the control condition, which contained no Kanizsa illusion (Pac-Man word prime: 40.0%, non-word prime: 44.9%; \({\chi }^{2}\) (1, N = 99) = 0.24; p = 0.622, \(\phi\) = 0.050, \({BF}_{10}\) = 0.274).
Experiment 4 was a successful replication of Experiment 3: under the Kanizsa display, only 40.8% of participants reported a triangle following the Pac-Man word prime, compared to 88.5% following the non-word prime (\({\chi }^{2}\) (1, N = 101) = 25.29; p < 0.001, \(\phi\) = 0.500, \({BF}_{10}\) = 112043.032), while no difference was found under the no-Kanizsa display (Pac-Man word prime: 40.8%, non-word prime: 44%; \({\chi }^{2}\) (1, N = 99) = 0.10; p = 0.749, \(\phi\) = 0.032, \({BF}_{10}\) = 0.256).
Finally, in Experiment 5 we set to examine if the effect can be reversed, so to enhance the tendency to see the Kanizsa shape following a congruent word prime indexing the expected shape (‘Triangle’), as compared to an incongruent one indexing a different shape (‘Square’), or a non-word. To make sure we are indeed probing Kanizsa perception and not simple response priming, here the task was not to report which shape, if at all, was present, but to detect if it appeared to the right or to the left side of the fixation cross. We reasoned that if priming increased illusory perception, participants will be more likely to correctly detect the shape location. This was indeed the case (\({\chi }^{2}\) (2, N = 348) = 18.28; p < 0.001, Cramer’s V = 0.229, \({BF}_{10}\) = 167.035; Fig. 3). Post-hoc analyses showed that participants had higher accuracy in the congruent group compared with the incongruent group (50.0% vs. 24.1%, respectively; \({\chi }^{2}\) (1, N = 232) = 16.63; p < 0.001, \(\phi\) = -0.268, \({BF}_{10}\) = 674.715), and also compared with the non-word group (31%; \({\chi }^{2}\) (1, N = 232) = 8.66; p = 0.005, \(\phi\) = -0.193, \({BF}_{10}\) = 12.021). Accuracy was not found to differ between the non-word group and the incongruent group (\({\chi }^{2}\) (1, N = 232) = 1.38; p = 0.240, \(\phi\) = -0.077, \({BF}_{10}\) = 0.289). It was also not found to be modulated by the side of the Kanizsa display (\({\chi }^{2}\) (1, N = 348) < 0.01, p = 1.000, \(\phi\) < 0.001, \({BF}_{10}\) = 0.127).