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Response time (RT) comparisons
The current study is an ongoing project, so, as representative results, data from the main part of the experiment (Experiment Part 3) are presented. These data are from 40 participants, including 23 females and 17 males, with ages ranging from 18-28 years (M = 22.75, SD = 3.12).
Investigating the extent of the normality of the distribution of the dependent variables was necessary in order to choose the appropriate statistical method for the analyses. So, the Shapiro-Wilk test was performed to understand whether the three dependent variables, namely the response time (RT), maximum deviation (MD), and area under the curve (AUC), were distributed normally. The scores showed that the data for the response time, W = 0.56, p < 0.001, maximum deviation, W = 0.56, p < 0.001, and area under the curve, W = 0.71, p < 0.001, were all significantly non-normal.
The homogeneity of variances of the dependent variables was also checked by applying the Levene's test for the levels of the independent variables, namely Actor Type (Actor1 and Actor2), and Action Class (Action Class1 and Action Class2). For the scores on the response time, the variances were similar for Actor1 and Actor2, F(1, 1260) = 0.32, p = 0.571, but the variances for Action Class1 and Action Class2 were significantly different, F(1, 1260) = 8.82, p = 0.003. For the scores on the maximum deviation, the variances were similar for Actor1 and Actor2, F(1, 1260) = 3.71, p = 0.542, but the variances for Action Class1 and Action Class2 were significantly different, F(1, 1260) = 7.51, p = 0.006. For the scores on the area under the curve, the variances were similar for Action Class1 and Action Class2, F(1, 1260) = 3.40, p = 0.065, but the variances for Actor1 and Actor2 were significantly different, F(1, 1260) = 4.32, p = 0.037.
Since the data in this study did not meet the normal distribution and homogeneity of variance assumptions of the regular ANOVA (analysis of variance) and we had four independent groups on a continuous outcome, the non-parametric equivalent of an ANOVA, the Kruskal-Wallis test, was applied. The four independent groups were derived from the two categorical response variables (High or Low) within the two pre-forced block dimensions (Agency and Experience). Since we were interested in how the dependent variables differed between the participant responses across the dimensions, the data were divided into four subgroups according to responses in the Agency dimension, including Agency-High and Agency-Low, and in the Experience dimension, including Experience-High and Experience-Low. Below, the results of the Kruskal-Wallis tests for the three independent variables are presented. In all cases, the significance threshold was set at p < 0.05.
Response time results
Figure 6 presents the response times of the participants according to their responses of High or Low in the four block dimensions. The response times of the participants are presented for each level of the two independent variables: Actor Type and Action Class. A1 and A2 represent Actor 1 and Actor 2, respectively, while AC1 and AC2 represent Action Class 1 and Action Class 2, respectively.

Figure 6: Participants' response times in the task across the actor type and action class. Each panel shows the time the participants spent responding toward one of the levels (High or Low) of the particular dimension (Agency and Experience). The asterisks show significant differences between the levels of actor type or action class (p < .05). Please click here to view a larger version of this figure.
The response times were not significantly affected by the actor type for the Agency-High, H(1) = 1.03, p = 0.308, Agency-Low, H(1) = 2.84, p = 0.091, and Experience-High, H(1) = 0.001, p = 0.968 answers, but they were significantly affected by the actor type for the Experience-Low answers, H(1) = 8.54, p = 0.003. A Wilcoxon signed-rank test was computed to investigate the effect of actor type on the Experience-Low answers. The median response time for Actor1 (Mdn = 1.14) was significantly shorter than the median response time for Actor2 (Mdn = 1.31), W = 8727, p = 0.001.
The response times were not significantly affected by the action class for Agency-Low, H(1) = 1.99, p = 0.158, and Experience-High, H(1) = 0.17, p = 0.675 answers, but they were significantly affected by the action class for the Agency-High, H(1) = 10.56, p = 0.001, and Experience-Low, H(1) = 5.13, p = 0.023, answers. The results of the Wilcoxon signed-rank test demonstrated that for the Agency-High responses, the median response time for Action Class1 (Mdn = 1.30 ) was significantly longer than the median response time for Action Class2 (Mdn = 1.17 ), W = 17433, p = 0.0005; additionally, for the Experience-Low responses, the median response time for Action Class1 (Mdn = 1.44) was significantly longer than the median response time for Action Class2 (Mdn = 1.21), W = 10002, p = 0.011.
Mouse tracking results
The mouse movements of the participants while they were deciding their final response were also recorded. The time and location information were collected to calculate the participants' average motor trajectories. The recording started when the participants saw the verbal stimuli on the screen and ended when they gave a response by clicking on one of the options (High or Low) in the upper-right or upper-left corners of the screen.
Figure 7 presents the maximum deviations of the mouse movements of the participants according to their responses of High or Low in four block dimensions. The maximum deviations of the participants from the idealized straight line of the selected response toward the unselected alternative response are presented for each level of the two independent variables, Actor Type and Action Class. A1 and A2 represent Actor 1 and Actor 2, respectively, while AC1 and AC2 represent Action Class 1 and Action Class 2, respectively.

Figure 7: The maximum deviation of the mouse trajectories of the participants across actor type and action class. Each panel shows the maximum deviation of the participants from the idealized straight line of the selected response toward the unselected alternative response while responding toward one of the levels (High or Low) for the particular dimension (Agency and Experience). The asterisks show significant differences between the levels of actor type or action class (p < .05). Please click here to view a larger version of this figure.
The maximum deviations were not significantly affected by the actor type for Agency-High, H(1) = 1.42, p = 0.232, Agency-Low, H(1) = 0.19, p = 0.655, and Experience-High, H(1) = 0.12, p = 0.720, answers, but they were significantly affected by the actor type for the Experience-Low answers, H(1) = 7.07, p = 0.007. A Wilcoxon signed-rank test was performed to investigate the effect of actor type on the Experience-Low answers. The median maximum deviation for Actor1 (Mdn = 0.03) was significantly shorter than the median maximum deviation for Actor2 (Mdn = 0.05), W = 8922, p = 0.003.
The maximum deviations were not significantly affected by the action class for Agency-High, H(1) = 0.37, p = 0.539, and Experience-High, H(1) = 1.84, p = 0.174, answers, but they were significantly affected by the action class for the Agency-Low, H(1) = 8.34, p = 0.003, and Experience-Low, H(1) = 11.53, p = 0.0006, answers. The results of the Wilcoxon signed-rank test demonstrated that for the Agency-Low responses, the median maximum deviation for Action Class1 (Mdn = 0.06) was significantly longer than the median maximum deviation for Action Class2 (Mdn = 0.02), W = 12516, p = 0.0019. Additionally, for the Experience-Low responses, the median maximum deviation for Action Class1 (Mdn = 0.09) was significantly longer than the median maximum deviation for Action Class2 (Mdn = 0.03), W = 10733, p = 0.0003.
Figure 8 presents the areas under the curve of the participants' mouse trajectories according to their responses of High or Low in four block dimensions. The areas under the curve of the participant responses in reference to the idealized straight line of the selected response are presented for each level of the two independent variables, Actor Type and Action Class. A1 and A2 represent Actor 1 and Actor 2, respectively while AC1 and AC2 represent Action Class 1 and Action Class 2, respectively.

Figure 8: The areas under the curve with respect to the idealized trajectory of the mouse movements of the participants. Each panel shows the area under the curve while the participants are responding toward one of the levels (High or Low) in the particular dimension (Agency or Experience). The asterisks show significant differences between the levels of actor type or action class (p < .05). Please click here to view a larger version of this figure.
The areas under the curves were not significantly affected by the actor type for Agency-High, H(1) = 0.001, p = 0.968, Agency-Low, H(1) = 0.047, p = 0.827, and Experience-High, H(1) = 0.96, p = 0.324, answers, but they were significantly affected by the actor type for the Experience-Low answers, H(1) = 8.51, p = 0.003. A Wilcoxon signed-rank test was computed to investigate the effect of actor type on the Experience-Low answers. The median area under the curve for Actor1 (Mdn = −0.03) was significantly snaller than the median area under the curve for Actor2 (Mdn = 0.02), W = 8731, p = 0.0017.
The areas under the curves were not significantly affected by the action class for Agency-High answers, H(1) = 0.01, p = 0.913, but they were significantly affected by the action class for the Agency-Low, H(1) = 7.54, p = 0.006, Experience-High, H(1)= 5.87, p = 0.015, and Experience-Low, H(1) = 15.05, p = 0.0001, answers. The results of the Wilcoxon signed-rank test demonstrated that for the Agency-Low responses, the median area under the curve for Action Class1 (Mdn = 0.03) was significantly greater than the median area under the curve for Action Class2 (Mdn = −0.03), W = 12419, p = 0.003, and for the Experience-High responses, the median area under the curve for Action Class1 (Mdn = −0.06) was significantly smaller than the median maximum deviation for Action Class2 (Mdn = −0.02), W = 9827, p = 0.007. For the Experience-Low responses, the median area under the curve for Action Class1 (Mdn = 0.05) was significantly greater than the median area under the curve for Action Class2 (Mdn = −0.03), W = 11049, p < 0.0001.
Summary and evaluation of the representative results
Since this is an ongoing study, a representative portion of the data we will have at the end of the large-scale data collection has been presented. However, even these sample data support the effectiveness of the method proposed in the present study. We could obtain the participants' response times and mouse trajectories while they gave their responses after watching real-time actions. We could complete all these steps through the same screen so that participants did not change a modality between watching the real actors and giving the mouse responses, thus allowing us to extend the procedures in the experiments to real-life scenarios.
Table 1 summarizes the results of how the dependent measures, including the response times, MD, and AUC of the mouse trajectories, were affected by the actor type and action class, which were the main independent variables of the study.
| Response Time (RT) | Maximum Deviation (MD) | Area Under the Curve (AUC) |
| Actor Type | Action Class | Actor Type | Action Class | Actor Type | Action Class |
| Agency High | ns | AC1 > AC2*** | ns | ns | ns | ns |
| Agency Low | ns | ns | ns | AC1 > AC2** | ns | AC1 > AC2** |
| Experience High | ns | ns | ns | ns | ns | AC1 > AC2** |
| Experience Low | A2 > A1*** | AC1 > AC2* | A2 > A1** | AC1 > AC2*** | A2 > A1** | AC1 > AC2**** |
Table 1: Summary of the results. The table shows how the dependent measures (the response times, MD, and AUC of the mouse trajectories) were affected by the main independent variables (actor type and action class) of the study. *, **, and *** represent the significance levels p ≤ 0.05, p ≤ 0.01, and p ≤ 0.001, respectively.
The actor type had a significant effect on the response times of the participants; while they were assigning Low capacity in the Experience dimension, they spent more time doing this for Actor2 compared to Actor1 in the same condition (see Figure 6D). We also observed this longer response time in the measurements of the mouse movements based on the MD and AUC (see Figure 9 for the trajectories). The MDs of the mouse trajectories toward Low responses (see Figure 7D) were significantly higher, and the AUCs of the mouse trajectories (see Figure 8D) were significantly larger when the participants were evaluating Actor2 compared to Actor 1 (comparing the blue lines in Figure 9A,B).

Figure 9: The average mouse trajectories of the participants when evaluating the actions performed by Actor1 and Actor2 in the Experience dimension. The orange lines show the average mouse trajectories toward High responses; the blue lines show the average mouse trajectories toward Low responses. The black dashed straight lines represent the idealized response trajectories, while the grey shaded areas represent the root mean squared standard deviations. Please click here to view a larger version of this figure.
The response times of the participants, while they were responding High to the actions belonging to Action Class1 in the Agency dimension (see Figure 6A), were significantly higher than for the actions belonging to Action Class2; however, these longer response times were not observed in the MD (see Figure 7A) and AUC measurements (see Figure 8A). While responding Low to Action Class1 in the Experience dimension, the participants spent significantly more time than they spent for Action Class2 (see Figure 6D), and this was also apparent in the MD (see Figure 7D) and AUC (see Figure 8D) scores. Figure 10 demonstrates that the MDs of the mouse trajectories toward Low responses (see Figure 7D) were significantly higher, and the AUCs of the mouse trajectories (see Figure 8D) were significantly larger while the participants were evaluating actions belonging to Action Class1 compared to Action Class2 (comparing the blue lines in Figure 10A,B).

Figure 10: The average mouse trajectories of the participants when evaluating the actors performing the actions belonging to Action Class1 and Action Class2 in the Experience dimension. The orange lines show the average mouse trajectories toward High responses; the blue lines show the average mouse trajectories toward Low responses. The black dashed straight lines represent the idealized response trajectories, while the grey shaded areas represent the root mean squared standard deviations. Please click here to view a larger version of this figure.
Although no significant effects of the action class on the response time measurements for the other block-response combinations were observed, a significant effect of the action class was observed in the MD (see Figure 7B) and AUC (see Figure 8B) scores of Low answers in the Agency dimension. Figure 11 demonstrates that participants hesitated toward the High alternative and moved toward the Low response more when they were evaluating actions from Action Class1 compared to the ones from Action Class2 (comparing the blue lines in Figures 11A,B). Finally, although there was no significant effect of action class on the RT and MD scores for the High responses on the Experience dimension, a significant effect was observed for the AUCs (see Figure 8C) of the trajectories (see Figure 10); specifically, participants hesitated more while evaluating Action Class2 compared to Action Class1 (comparing the orange lines in Figure 10A,B).

Figure 11: The average mouse trajectories of the participants when evaluating the actors performing the actions belonging to Action Class1 and Action Class2 in the Agency dimension. The orange lines show the average mouse trajectories toward High responses; the blue lines show the average mouse trajectories toward Low responses. The black dashed straight lines represent the idealized response trajectories, while the grey shaded areas represent the root mean squared standard deviations. Please click here to view a larger version of this figure.
The results so far support our hypotheses, which suggested that there would be an effect of the actor type and action class and that the dependent measurements for High and Low responses for the same actor and action class would differ across the block dimensions of Agency and Experience. Since this is an ongoing study, it is outside of the scope of this paper to discuss the possible reasons for the findings. However, as an early remark, we could emphasize that although some results for the response time and the measurements coming from the computer mouse-tracking complemented each other, in some block-response conditions, we observed that participants hesitated toward the other alternative even when they were fast in their evaluations.
If a special OLED screen were not included in the setup, the response times of the participants could still be collected with some other tools such as buttons to press. However, the participants' mouse movements could not be tracked without providing an additional screen and having the participants watch that screen and the real actors back and forth, which would, in turn, delay their responses. So, although response times are useful indicators of the difficulty of the decision-making process, the mouse trajectories of the participants reveal more about the real-time dynamics of their decision processes before their final responses32,34.
Supplemental Coding File 1: ExperimentScript1.m Please click here to download this File.
Supplemental Coding File 2: ExperimentScript2.m Please click here to download this File.
Supplemental Coding File 3: ExperimentScript3.m Please click here to download this File.
Supplemental Coding File 4: RecordMouse.m Please click here to download this File.
Supplemental Coding File 5: InsideROI.m Please click here to download this File.
Supplemental Coding File 6: RandomizeTrials.m Please click here to download this File.
Supplemental Coding File 7: RandomizeBlocks.m Please click here to download this File.
Supplemental Coding File 8: GenerateResponsePage.m Please click here to download this File.
Supplemental Coding File 9: GenerateTextures.m Please click here to download this File.
Supplemental Coding File 10: ActorMachine.m Please click here to download this File.
Supplemental Coding File 11: MatchIDtoClass.m Please click here to download this File.
Supplemental Coding File 12: RandomizeWordOrder.m Please click here to download this File.
Supplemental Coding File 13: ExperimentImages.mat file Please click here to download this File.