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Virtual-hand Illusion
We ran several experiments using the virtual-hand illusion paradigm, to investigate how people represent their bodies, in this case their hands. The number of tested participants depended on the amount of conditions, usually around 20 participants for each condition. Here we provide relevant results for one of the most elaborated studies we conducted in our lab. We will restrict our discussion to the subjective data, the average of the Likert-scale responses to the four ownership questions (O1-O4) and the Likert-scale response to the agency question (A1).
In this study8, we systematically investigated the effects of synchrony (synchronous vs. asynchronous), appearance of the virtual effector (virtual hand vs. rectangle), and activity (passive vs. active) on the participants' sense of ownership and sense of agency (all conditions were tested within participants). The results were the same for ownership and agency. As indicated in Figure 2, perceived ownership and agency were stronger if real and virtual hand moved in synchrony [F(1,43) = 48.35; p < 0.001; and F(1,43) = 54.64; p < 0.001; for ownership and agency, respectively], if the virtual effector was a hand than if it was a rectangle [F(1,43)=14.85; p < 0.001; and F(1,43) = 6.94; p < 0.02], and if the participant was active rather than passive [F(1,43) = 9.32; p < 0.005; and F(1,43) = 79.60; p < 0.001]. The synchrony effect replicates the standard virtual-hand illusion.

Figure 2: Ownership and agency ratings as a function of synchrony, appearance of the virtual effector, and activity of the participant. Please click here to view a larger version of this figure.

Figure 3: Ownership and agency ratings as a function of synchrony and activity of the participant. Note that the synchrony effect is more pronounced for active participants. Please click here to view a larger version of this figure.
Even more interestingly, both ownership and agency showed a significant interaction between activity and synchrony [F(1,43) = 13.68; p = 0.001; and F(1,43) = 23.36; p < 0.001; see Figure 3], but not between appearance and synchrony. This pattern suggests that activity plays a more dominant role for the ownership and the illusion than appearance does, it even showed that the illusory ownership perception is stronger in virtual than traditional rubber hand illusion paradigm. According to Hommel22, objective agency (i.e., the degree to which an external event can objectively be controlled) contributes to both subjective ownership and subjective agency, which explains why in this experiment, active, synchronous control over the virtual effector increased both subjective ownership and subjective agency.
While appearance failed to interact with synchrony, suggesting that the ownership illusion does not rely on appearance, it did produce a main effect. This indicates that appearance does have an impact on perceived ownership. It makes sense to assume that people have general expectations about what external objects might or might not be a plausible part of their body, which supports ownership perception in general but does not moderate the effect of synchrony. We thus conclude that multiple sources of information contribute to the sense of subjective ownership: general top-down expectations and bottom-up synchrony information. The relationship between these two informational sources does not seem to be interactive but compensatory, so that general expectations may dominate in the absence of synchrony, and vice versa.
Virtual-face Illusion
In another study, we investigated how people represent their face. We were able to replicate the traditional enfacement illusion in a virtual environment, which we refer to as the virtual-face illusion12. We further investigated whether people adopt the mood expressed by a virtual face they identify with. There was one within-participant factor-synchrony (synchronous vs. asynchronous) and one between-participant factor-facial expression (happy vs. neutral). The IOS ratings before the induction phase were subtracted from the IOS ratings after the induction phase, also the Affect Grid ratings before the induction phase were subtracted from the Affect Grid ratings after the induction phase, and these rating changes were used as the IOS and affect grid results.
The analysis of the ownership scores (O1-4), the agency scores (A1-2), and the IOS scale18 changes all showed main effects of synchrony [F(1,58) = 38.24; p < 0.001; F(1,58) = 77.33; p < 0.001; and F(1,58) = 43.63; p < 0.001; respectively], showing that synchrony between one's own head movements and the movements of the virtual face increased perceived ownership and agency, and facilitated the integration of the other's face into one's own self (see Figure 4). Synchrony also improved mood, as indicated by a synchrony effect on the affect grid19 changes [F(1,58) = 7.99; p < 0.01].

Figure 4: Ownership and agency ratings, as well as IOS changes, as a function of synchrony. Note that positive IOS changes imply an increase of integration of the other into one's self. Please click here to view a larger version of this figure.

Figure 5: Affect grid changes (positive values imply positive-going affect) and flexibility scores in the AUT, as a function of synchrony and the expression of the virtual face. Note that the interactions between synchrony and expression are driven by more positive-going mood and particularly good flexibility performance for the combination of synchrony and happy virtual face. Please click here to view a larger version of this figure.
There were significant main effects of the facial expression on IOS changes, affect grid changes, and flexibility in the AUT20,21,23but more important was the fact that the affect grid changes and the flexibility score interacted with synchrony [F(1,58) = 4.40; p < 0.05; and F(1,58) = 4.98; p < 0.05; respectively]. As shown in Figure 5, participants reported improved mood and showed more creative behavior after enfacing (i.e., synchronously moving with) a happy face as compared to the conditions where they moved asynchronously with a happy face or synchronously with a neutral face.
| F/P/PES | EFF | ACT | SYN | EFF*ACT | EFF*SYN | ACT*SYN | EFF*ACT*SYN |
| O1 | 11.66 | 10.11 | 45.38 | | | 10.08 | |
| 0.001 | 0.003 | <0.001 | 0.003 |
| 0.21 | 0.19 | 0.51 | 0.19 |
| O2 | | 5.37 | 47.65 | | | | |
| 0.025 | <0.001 |
| 0.11 | 0.53 |
| O3 | 10.75 | | 41.30 | | | 9.81 | |
| 0.002 | <0.001 | 0.003 |
| 0.20 | 0.49 | 0.19 |
| O4 | 12.86 | 17.17 | 15.12 | | | 10.60 | |
| 0.001 | <0.001 | <0.001 | 0.002 |
| 0.23 | 0.29 | 0.26 | 0.20 |
| O1-4 | 14.85 | 9.32 | 48.35 | | | 13.68 | |
| <0.001 | 0.004 | <0.001 | 0.001 |
| 0.26 | 0.18 | 0.53 | 0.24 |
| A1 | 6.94 | 79.60 | 54.64 | | | 23.36 | |
| 0.012 | <0.001 | <0.001 | <0.001 |
| 0.14 | 0.65 | 0.56 | 0.37 |
Table 1: F, P and Partial Eta squared (PES) values for the effects of the questionnaire item ratings, with df = 43. Factors are EFF: virtual effector (virtual hand vs. rectangle); ACT: activity (active exploration vs. passive stimulation); and SYN: synchrony (synchronous vs. asynchronous). Only results for significant effects are shown.
| M/SE | H-P-SY | H-P-AS | H-A-SY | H-A-AS | R-P-SY | R-P-AS | R-A-SY | R-A-AS |
| O1-4 | 4.37 | 3.44 | 5.09 | 3.50 | 3.79 | 3.14 | 4.68 | 3.05 |
| 0.20 | 0.23 | 0.19 | 0.25 | 0.23 | 0.23 | 0.20 | 0.21 |
| A1 | 3.59 | 3.11 | 6.36 | 4.36 | 3.07 | 2.57 | 6.09 | 3.80 |
| 0.30 | 0.32 | 0.15 | 0.33 | 0.28 | 0.27 | 0.24 | 0.33 |
Table 2: Means (M) and standard errors (SE) for the ownership and agency ratings in all eight conditions. H: hand; R: rectangle; A: active; P: passive; SY: synchronous; AS: asynchronous.
| F/P/PES | Facial expression | Synchrony | Facial expression* Synchrony |
| Ownership (O1-4) | | 38.24 | |
| <0.001 |
| 0.40 |
| Agency (A1-2) | | 77.33 | |
| <0.001 |
| 0.57 |
| IOS Changes | 4.03 | 43.63 | |
| 0.049 | 0.001 |
| 0.07 | 0.43 |
| Affect Grid Valence Changes | 6.06 | 7.99 | 4.40 |
| 0.017 | 0.007 | 0.041 |
| 0.10 | 0.13 | 0.07 |
| AUT-Flexibility | 5.42 | | 4.98 |
| 0.024 | 0.03 |
| 0.09 | 0.08 |
| AUT-Fluency | | | 7.89 |
| 0.007 |
| 0.12 |
Table 3: F, P and Partial Eta squared (PES) values for relevant dependent measures, with df = 58 for questionnaire and IOS results, and df = 56 for the valence dimension of the affect grid mood and AUT results. Only results for significant effects are shown.
| M/SE | Neutral-SY | Neutral-AS | Happy-SY | Happy-AS |
| Ownership (O1-4) | 2.88 | 2.03 | 3.38 | 2.36 |
| 0.27 | 0.16 | 0.23 | 0.22 |
| Agency (A1-2) | 5.90 | 4.25 | 6.16 | 4.08 |
| 0.20 | 0.25 | 0.13 | 0.32 |
| IOS Changes | 0.37 | -0.80 | 1.00 | -0.40 |
| 0.21 | 0.25 | 0.20 | 0.24 |
| Affect Grid Valence Changes | -1.07 | -1.33 | 0.60 | -1.20 |
| 0.42 | 0.33 | 0.39 | 0.31 |
| AUT-Flexibility | 5.87 | 6.07 | 7.43 | 6.10 |
| 0.31 | 0.37 | 0.29 | 0.39 |
| AUT-Fluency | 7.27 | 8.27 | 9.73 | 7.37 |
| 0.51 | 0.68 | 0.68 | 0.49 |
Table 4: Means (M) and standard errors (SE) for relevant dependent measures in the four conditions. Neutral: neutral facial expression; Happy: happy facial expression; SY: synchronous; AS: asynchronous.