3.2.1 Participant Demographics and Confinement values across sessions
Though this section of the analysis was not preregistered, throughout the duration of the longitudinal study, participants were allowed to freely drop out of the study and therefore, we confirmed using the analysis here that there was no difference in age in the participants that remained throughout the three sessions: S1 compared to S2 (BF < 1; S1: N = 108, Mean = 43.389, SD = 12.571, 95% Credible Interval (CrI) [40.991, 45.787]; S2: N = 99, Mean = 44.182, SD = 12.483, 95% CrI [41.692, 46.671]), S2 compared to S3 (BF < 1; S3: N = 94, Mean = 44.614, SD = 13.392, 95% CrI [41.421, 47.807]), and S1 compared to S3 (BF < 1). Hence, it could safely be said that the changes in different variables studied between these sessions is not likely to be caused by differences in the ages of the participants.
Moreover, it was also confirmed that the level of confinement changed as data was being collected in the longitudinal study. When Bayesian Samples T-test was run, extremely strong evidence was observed suggesting change in confinement scores across the three sessions: S1 compared to S2 (BF > 1000, S1: N = 108, Mean = − 58.042, SD = 6.425, 95% CrI [− 59.268, -56.817], S2: N = 99, Mean = − 33.740, SD = 3.116, 95% CrI [-34.362, -33.119]), S2 compared to S3 (BF > 1000; S3: N = 94, Mean = − 27.733, SD = 2.815, CrI [− 28.309, − 27.156]), and S1 compared to S3 (BF < 1). Therefore, it could be said that as participants were taking part in the experiment, mobility in transit stations was slowly approaching normality as compared to the baseline. Moreover, this comes to show that while confinement was purely voluntary, the Japanese population did in fact stay at home during the midst of the COVID-19 pandemic fears in May of 2020.
3.2.2 A look into the longitudinal data (S1 vs. S3)
To get a clear overview of how the participants performed in the longitudinal data, a simple Bayesian T-test was conducted, comparing the multiple factors of the raw scores of anxiety, depression, loneliness, and cognitive score between S1 and S3 of all participants (Supplementary Table 3). The Bayesian Samples T-test results show that participants performed better in S3 (N = 93, Mean = 81.043, SD = 7.959, 95% CrI [79.404, 82.683]) compared to S1 (N = 107, Mean = 76.367, SD = 7.901, 95% CrI [74.853, 77.882]) in the cognitive task (BF > 100). Moreover, there was anecdotal evidence (BF = 1.416) suggesting greater depression scores in S1(N = 108, Mean = 9.019, SD = 3.724, 95% CrI [8.308, 9.729]) compared to S3 (N = 95, Mean = 7.863, SD = 3.791, 95% CrI [7.091, 8.636]).
In addition, we also compared the temporal data between the two sessions using the data of only the participants included in the temporal analysis. Produced intervals were shorter in S1 (N = 108, Mean = 676.347, SD = 309.705, 95% CrI [616.701, 735.992]) compared to S3 (N = 94, Mean = 764.215, SD = 279.212, 95% CrI [707.027, 821.403]) as shown by anecdotal evidence (BF = 1.190). All other factors had evidence for no difference (BF < 1).
3.2.3 Significant predictors for temporal performance
To explore (1) whether the trend in differing temporal performance can be explained by how age affected the lived experience of confinement, (2) whether there is a difference in age in relation to how different psychological effects and cognitive scores may impact temporal performance, and (3) whether and how the overall relationship between the confinement level and the temporal productions depends on the psychological variables or cognitive variables, we conducted Bayesian Hierarchical Modeling with each of the temporal measures. For each of the following, 42 models were compared using WAICg and as preregistered, the top two models are discussed. The WAIC and WAICg for all other models can be found in the supplementary materials (Spontaneous finger-tapping task, Supplementary Table 4; Paced finger-tapping task (Asyn), Supplementary Table 5; Paced finger-tapping task (ITI), Supplementary Table 6) and on OSF. Note here, that for this section and for the purpose of modeling, the significant predictors of Confinement and Cognitive score refers to the transformed variables, where all raw scores were subtracted from the recorded score in S3.
Spontaneous finger-tapping task
Results for the model comparisons in the produced interval of the spontaneous finger-tapping task revealed the top models to be: (1) the model including the interaction effect of Age and Confinement, and (2) the model including the main effect of Age as well as the interaction effect of Age and Confinement.
The best model includes the coefficient of confinement and age (WAICg = 4034.802, R2 = 63.412%, Supplementary Table 4) where the mean produced interval was approximately 700 ms (ß = 698.785, SD = 27.745, 95% CrI = [642.510, 751.581]). As shown in Fig. 1a, there was an effect of the interaction Confinement*Age (ß = -0.014, SD = 0.000, 95% CrI = [-0.131, -0.104]) indicating that for participants in the later stage of adulthood, the more the mobility resumed to the new normal, their produced interval got shorter while for those in the early stage of adulthood, the more the lifestyle resumed to normal, the produced interval got longer. However, looking at the posterior samples extracted, we can see that only 57.9% of the distribution for the coefficient of the interaction of Confinement*Age is below zero meaning that this effect is associated with large uncertainty.
The model that comes to a close second is one that includes the main effect of Age, and the interaction of Age*Confinement (WAICg = 4036.394, R2 = 0.635). This model shows that the subjects tapped at a mean interval of a bit over 700 ms (ß = 701.047, SD = 27.710, CrI [644.888, 753.625]). The main effect of Age (Fig. 1b) suggests that there is a 94.271% probability that as participants got older, the more they tended to have shorter intervals, meaning tapped at a faster pace (ß = -3.442, SD = 0.008, CrI[-7.993, 1.134]). Having included the parameter of Age, the effect of Confinement*Age (Fig. 1c) differs, such that it indicates a trend whereas the life resumes to normal, the population in the early stage of adulthood tends to approach the true value and therefore produce longer intervals than during confinement, while those in the later stage of adulthood deviated further from the true value, causing a greater under-reproduction of the one-second interval (ß = -0.044, SD = 0.063, CrI [-.166,.080]). Though there is still a considerable amount of uncertainty in the interaction effect, the trend suggested in this second-best model was supported by 75.919%.
Paced finger-tapping task
Results for the model comparisons in the asynchrony of the tap during stimulus synchronization revealed the top models to be: (1) the model including the main effect of Confinement, Age, and Cognitive score, and (2) the model including the main effect of Confinement, Age, Cognitive score as well as the interaction of Age*Confinement.
The best model which included Confinement, Age, and Cognitive score as significant predictors (WAICg = 1741.754, R2 = 0.609, Supplementary Table 5) showed that people tended to tap at a mean of 30 ms after the appearance of visual stimulus (ß = 30.768, SD = 8.101, 95% CrI [14.858, 46.671]). This is indicative of participants overestimating the duration of the coming stimulus in the synchronization phase, though 30 ms asynchronicity indicates a good prediction of the 1000 ms between the appearances of the stimuli. In terms of the effect of confinement (Fig. 2a), 91.81% of the predicted samples revealed that participants deviated more from the true appearance of the as confinement measures were being lifted (ß = 0.537, SD = 0.376, 95% CrI [-0.199, 1.273]). The negative coefficient of Age (ß = -0.791, SD = 0.672, 95% CrI [-2.105, 0.531]) indicated, and in accordance with 88.203% of the predicted samples, that as the participants got older, they tended to be better synchronized to the visual stimuli (Fig. 2b). Cognitive score (ß = − .791, SD = .672, 95% CrI [-2.105, .531]) also reveals that the magnitude of asynchrony decreased with higher cognitive performance (Fig. 2c). However, this was only true for 66.51% of the predicted samples and thus, we see that there is great uncertainty here.
The second-best model (WAICg = 1742.780, R2 = 0.623) also has a mean asynchrony of approximately 30ms (ß = 31.505, SD = 8.029, 95% CrI = [15.656, 47.309]) with the three coefficients showing the same trend as in the best model (Fig. 3a-c): Age (ß = -0.278, SD = 0.706, 95% CrI[-1.661,1.113]), Confinement (ß = 0.681, SD = 0.377, 95% CrI [-.058, 1.421]) and Cognitive score (ß = -0.858, SD = 1.427, 95% CrI [-3.671, 1.935]). The posterior samples show that 88.203%, 91.807%, and 66.506% of the posterior samples of Age, Confinement, and Cognitive scores conclude to these trends. In addition to these parameters, the inclusion of the interaction effect of Confinement*Age shows that while the participants in the early stage of adulthood did not differ much in the measure of asynchrony throughout the three months of data collection, those in the later stage of adulthood did, going from predicting the arrival of the visual stimulus in an early fashion to a late fashion (Fig. 3d). This trend was observed for 98.461% of the posterior samples of this model.
As for the results in the model comparison of the reproduced interval of the continuation phase of the paced finger-tapping task, the top two models are the same as in the reproduced intervals: (1) the model including the main effect of Age, Confinement, Cognitive score, and (2) the model including the interaction of Age*Confinement apart from those parameters in the best model.
Figure 4: The parameters in the best model for the reproduced interval (ITI) of the paced finger-tapping task. The horizontal line at 1000ms indicates the temporal interval that the participants were asked to reproduce. This model includes (a) the main effect of Confinement. (b) the main effect of Age, and (c) the main effect of the Cognitive score.
The best model (WAICg = 2631.352, R2 = .451, Supplementary Table 6) includes the coefficient of confinement, age where the mean produced interval was 973 ms (ß = 972.971, SD = 6.603, 95%CrI = [959.837, 985.800]). As shown in Fig. 4a, results showed that the trend was indicative of shorter intervals being produced as the confinement measures were being lifted (ß =-.351, SD = .330, 95% CrI = [-1.000, 0.291]), in a way that participants were tapping at a faster pace than the one initially marked. The effect of Age (ß = − .893, SD = .479, 95% CrI = [-1.833,.049]) indicates that there is a 96.82% probability that as age increased, shorter intervals were being reproduced as shown in Fig. 4b. The coefficient of Cognitive performance (ß =-.887, SD = 1.174, 95% CrI = [-1.477, 3.130]) was also significant in the performance of the top model, illustrating that as the performance in this task increased, the closer the produced interval approached 1000ms (Fig. 4c). In addition, the coefficient of. It is to note, however, that the posterior samples of confinement and the cognitive score show a great deal of uncertainty given that 74.174% and 78.301% of the posterior samples of Cognitive score and Confinement, respectively, were in accordance with the trend.
The second-best model is one that includes the interaction of Age*Confinement in addition to the predictors in the first model (WAICg = 2632.642, R2 = 0.453). This model shows that the subjects tapped at a mean interval of 973 ms (ß = 972.901, SD = 6.606, 95% CrI [959.762, 985.752]). Trends of the coefficients of Age (ß = − 0.975, SD = 0.527, 95% CrI [-2.009, .060]), Confinement (ß = -0.364, SD = 0.331, 95% CrI [-1.014, 0.283]) and Cognitive score (ß = 0.912, SD = 1.176, 95% CrI [-1.466, 3.163]), were identical to that of the best model (Fig. 5a-c) with 96.798%, 79.052% and 74.272% of the predicted data showing this trend, respectively. As for the interaction between Confinement*Age, 66.105% of the predicted data showed a trend where all ages reproduced increasingly shorter intervals than those first paced during the confinement period but with the change the participants in the later stage of adulthood being larger than those in the earlier stage of adulthood (Fig. 5d).