Behavioral data. To ensure that the samples were representative and unbiased, nine participants were excluded from the statistical analysis because they had low accuracy (lower than 90%) in the spatial reference frame judgment task, possibly because of the lack of attention or motivation during the experiment. Because the overall accuracy of all the participants was high (all above 94%), the present study focused more on reaction time (RT) in the statistical analysis.
For the RT data, 2 (groups: self-association vs. stranger-association) × 2 (spatial domains: near vs. far) × 2 (reference frame judgment tasks: allocentric vs. egocentric) mixed ANOVA was conducted (see Figure 2). The main effect of groups was significant, F(1,97) = 11.10, p = 0.001, ηp² = 0.10, and the RTs of the self-association group (592 ms) were faster than those of the stranger-association group (645 ms), indicating a significant SPE in the self-association group. The main effect of spatial domains was not significant, F < 1. The main effect of reference frame judgment tasks was significant, F(1,97) = 35.02, p < 0.001, ηp² = 0.27, and the RTs of the allocentric judgment task (604 ms) were significantly faster than those of the egocentric judgment task (633 ms). The interaction effect between groups and spatial domains was significant, F(1,97) = 61.70, p < 0.001, ηp² = 0.39. The interaction effect between groups and reference frame judgment tasks was significant, F(1,97) = 4.89, p = 0.03, ηp² = 0.05. The interaction effect between the spatial domains and reference frame judgment tasks was not significant, F(1,97) = 1.12, p = 0.29. The three-way interaction effect among groups, spatial domains, and reference frame judgment tasks was significant, F(1,97) = 4.59, p = 0.04, ηp² = 0.05. To investigate the potential interaction between ownership groups and reference frames in near and far spaces, further simple effect analyses should be conducted.
First, to examine the role of groups in the three-way interaction effect, 2 (spatial domains: near vs. far) × 2 (reference frame judgment tasks: allocentric vs. egocentric) repeated ANOVA was conducted in the self-association group and stranger-association group. For the self-association group, the main effect of spatial domains was significant, F(1,49) = 25.57, p < 0.001, ηp² = 0.33, and the RTs of near-space processing (579 ms) were significantly faster than those of far-space processing (606 ms). The main effect of reference frame judgment tasks was significant, F(1,49) = 6.35, p = 0.02, ηp² = 0.12, and the RTs of the allocentric judgment task (583 ms) were significantly faster than those of the egocentric judgment task (602 ms). The interaction effect between spatial domains and reference frame judgment tasks was not significant, F < 1. To examine whether the participants performed better in allocentric judgment tasks in near space or egocentric judgment tasks in far space, paired sample t-test was conducted in the self-association group. The RTs of the allocentric judgment task in near space (571 ms) were faster than those of the egocentric judgment task in far space (617 ms), t(50) = 5.02, p < 0.001, Cohen’s d = 0.56. For the stranger-association group, the main effect of spatial domains was significant, F(1,48) = 38.62, p < 0.001, ηp² = 0.45, and the RTs of near-space processing (629 ms) were faster than those of far-space processing (660 ms). The main effect of reference frame judgment tasks was significant, F(1,48) = 36.16, p < 0.001, ηp² = 0.43, and the RTs of the allocentric judgment task (624 ms) were faster than those of the egocentric judgment task (665 ms). The interaction effect between spatial domains and reference frame judgment tasks was significant, F(1,48) = 4.24, p < 0.045, ηp² = 0.08. Further analysis found that the RTs of the allocentric judgment task (636 ms) were faster than those of the egocentric judgment task (685 ms) in far space, F(1,48) = 34.41, p < 0.001, ηp² = 0.42, and the RTs of the allocentric judgment task (613 ms) were also faster than those of the egocentric judgment task (645 ms) in near space, F(1,48) = 19.66, p < 0.001, ηp² = 0.29, exhibiting faster allocentric processing. These findings indicated that individuals showed a preference for allocentric representation in near space compared with egocentric representation in far space.
Second, to examine the role of reference frame judgment tasks in the three-way interaction effect, a 2 (groups: self-association vs. stranger-association) × 2 (spatial domains: near vs. far) mixed ANOVA was conducted in the egocentric and allocentric judgment tasks. For the egocentric judgment task, the main effect of groups was significant, F(1,97) = 12.57, p = 0.001, ηp² = 0.12, and the RTs of the self-association group (602 ms) were significantly faster than those of the stranger-association group (665 ms). The main effect of spatial domains was not significant, F < 1. The interaction effect between groups and spatial domains was significant, F(1,97) = 41.37, p < 0.001, ηp² = 0.30. Further analysis found that the RTs of the self-association group in near space (587 ms) were faster than those of the stranger-association group (685 ms), F(1,97) = 26.68, p < 0.001, ηp² = 0.22, and no significant difference was found in the RTs between self-association (617 ms) and stranger-association (645 ms) groups in far space. For the allocentric judgment task, the main effect of groups was significant, F(1,97) = 7.61, p = 0.007, ηp² = 0.07, the RTs of the self-association group (583 ms) significantly faster than those of the stranger-association group (624 ms). The main effect of spatial domains was not significant, F < 1. The interaction effect between groups and spatial domains was significant, F(1,97) = 49.42, p < 0.001, ηp² = 0.34. Further analysis found that the RTs of the self-association group in near space (571 ms) were faster than those of the stranger-association group (636 ms), F(1,97) = 18.06, p < 0.001, ηp² = 0.16, and no significant difference was found in the RTs between self-association (595 ms) and stranger-association (613 ms) groups in far space. The above findings revealed that the SPE showed strongly affected near-space processing compared with far-space processing.
Third, to examine the role of spatial domains in the three-way interaction effect, a 2 (groups: self-association vs. stranger-association) × 2 (reference frame judgment tasks: allocentric vs. egocentric) mixed ANOVA was conducted in near and far spaces. In the far space condition, the main effect of groups was not significant, F(1,97) = 2.02, p = 0.16. The main effect of reference frame judgment tasks was significant, F(1,97) = 27.12, p < 0.001, ηp² = 0.22, and the RTs of the allocentric judgment tasks (604 ms) were significantly slower than those of the egocentric judgment tasks (631 ms). The interaction effect between groups and reference frame judgment tasks was not significant, F(1,97) = 1.17, p = 0.28. In the near space condition, the main effect of groups was significant, F(1,97) = 25.46, p < 0.001, ηp² = 0.21, and the RTs of the self-association group (579 ms) were significantly faster than those of the stranger-association group (660 ms). The main effect of reference frame judgment tasks was significant, F(1,97) = 28.65, p < 0.001, ηp² = 0.23, and the RTs of the allocentric judgment task (603 ms) were significantly faster than those of the egocentric judgment task (636 ms). The interaction effect between groups and reference frame judgment tasks was significant, F(1,97) = 7.50, p = 0.007, ηp² = 0.07. Further simple effect analysis showed that the RTs of the egocentric judgment task (685 ms) were slower than those of the allocentric judgment task (636 ms) in the stranger-association group, t(48) = 5.87, p < 0.001, Cohen’s d = 0.54. However, no significant difference was found between allocentric (571 ms) and egocentric (587 ms) judgment tasks in the self-association group, t(49) = 1.81, p = 0.08. To further examine whether the SPE was more beneficial for egocentric representation or allocentric representation, we obtained the reaction time difference (RT allocentric−egocentric) by comparing the RT difference between allocentric and egocentric judgment tasks in near space. The independent-sample t-test results showed a significant difference between the self-association group and stranger-association group, t(97) = 2.74, p = 0.007, Cohen’s d = 0.55, and the RT difference in the self-association group (16 ms) was less than that in the stranger-association group (49 ms), indicating that the self-association group had a faster response on the egocentric judgment task in near space. These findings suggested that the SPE only benefited egocentric representation more than allocentric representation.
sMRI Correlation analysis. As discussed in the Introduction section, the vmPFC region is supported by self-referential material24. Additionally, the behavioral results benefited the SPE more on the allocentric reference frame in near space than on the egocentric reference frame in far space. Therefore, we focused on examining whether the cortical thickness of the vmPFC (i.e., OFC, ACC, FPC, and insular cortex) could predict the preference of the SPE on reference frames.
Pearson correlation analysis was conducted between the RTs of allocentric judgment tasks in near space and thickness of the vmPFC. Only the thickness of the left FPC was negatively associated with the RTs of the allocentric judgment task (see Figure 3a), r(50) = -0.30, p = 0.036; other regions showed little or no significant associations with RTs of the allocentric judgment tasks (ps > 0.05). Likewise, Pearson correlation analysis showed that, the thickness of the left rostral ACC was positively correlated with the RTs of egocentric judgment tasks in far space (see Figure 3b), r(50) = 0.32, p = 0.026; the thickness of the right rostral ACC was also positively correlated with the RTs of egocentric judgment tasks in far space (see Figure 3c), r(50) = 0.28, p = 0.049. A significant association was no longer found between the thickness and RTs of egocentric judgment task (ps > 0.05).