Out of the 42 participants, 3 participants (7.14% of the data) were excluded, based on 2 criteria established in previous research. First, two participants achieved a declarative knowledge score above 40% (i.e., having a maximum overlap between the real and indicated order of 7 or more) in one of the two parts of the task. One participant achieved a declarative knowledge score of 43.75% in the first part of the task and the other achieved a declarative knowledge score of 68.75% in the second part of the task. These participants were excluded from further analyses, following the exclusion criteria also used by Curran and Keele (1993), Moisello et al. (2009), Tinga et al. (2020a, b) and Willingham et al. (1989). A declarative knowledge score of more than 40% is seen as significant and might influence the results as learning of the sequence would not be implicit for these participants (Moisello et al. 2009). Of the 40 remaining participants, the average declarative score was 14.88% (SD = 3.93%, range = 12.50–25.00%) and 15.31% (SD = 4.23%, range = 6.25–25.00%) for the first and second block respectively. A paired samples t test demonstrated no significant difference between the declarative knowledge scores in Part 1 and Part 2, t = 1.11, p = 0.269. Second, in 1 participant it could not be established that behavioral learning actually took place with performance deteriorating over time instead of improving. As an increase in behavioral performance over time would be evident in learning (Tinga et al. 2019) this participant was therefore removed from all further analyses.
The quality of the recorded fNIRS data was checked for the 39 remaining participants. The SMAR algorithm excluded data for one optode (out of four optodes) completely for four participants for all blocks. All other fNIRS data that remained were included for further analyses.
There were no significant differences between participants in the different groups in age (p = 0.537), gender (p = 0.322) and in baseline OXY (p = 0.234) and in baseline HBT (p = 0.803), demonstrating that the block randomization was successful.
Behavioral effects
Learning effects
The details of all behavioral effects (F, p, ηp2) over blocks in the first and second part of the task and from the first to the second part of the task are presented in Table 1 in columns 1–3. Specifics regarding statistically significant effects will be reported in this section. As an illustration of changes in behavioral performance, changes over blocks in correct responses, OT, PV and NMA are depicted in Fig. 3. As expected, performance improved over time during task learning. Correct responses increased by 17.13% within the first part of the task and by 9.12% from the first to the second part of the task, F = 56.51, p < 0.001, ηp2 = 0.33 and F = 68.60, p < 0.001, ηp2 = 0.20, respectively. OT decreased by 36.45 ms within the first part of the task and by 30.83 ms from the first to the second part of the task, F = 16.13, p < 0.001, ηp2 = 0.12 and F = 43.75, p < 0.001, ηp2 = 0.14 respectively. MT increased by 19.69 ms within the first part of the task and RT decreased by 28.12 ms from the first to the second part of the task, F = 21.80, p < 0.001, ηp2 = 0.16 and F = 29.21, p < 0.001, ηp2 = 0.10, respectively. PV decreased by 167.87 pixels per second within the first part of the task, F = 34.46, p < 0.001, ηp2 = 0.23, by 65.88 pixels per second within the second part of the task, F = 10.96, p = 0.001, ηp2 = 0.09, and by 78.90 pixels per second from the first to the second part of the task, F = 35.54, p < 0.001, ηp2 = 0.12. SE decreased by 172.90 pixels within the first part of the task, F = 66.24, p < 0.001, ηp2 = 0.36, by 20.52 pixels within the second part of the task, F = 4.53, p = 0.035, ηp2 = 0.04 and by 77.32 pixels from the first to the second part of the task, F = 52.75, p < 0.001, ηp2 = 0.16. NMA decreased with 2.35% within the first part of the task and with 2.85% within the second part of the task, F = 17.07, p < 0.001, ηp2 = 0.13 and F = 20.18, p < 0.001, ηp2 = 0.15, respectively. The results demonstrate that behavioral improvements mainly occurred within the blocks of the first part of the task and from the first to the second part of the task, with for example correct responses and OT improving clearly within Part 1, while outcome measures such as PV and NMA improved both during Part 1 and Part 2 as can be seen in Fig. 3. Although it could be expected that behavioral learning would take place across both task parts, it appears that most (i.e., 6 out of 7) behavioral outcome measures only improved within the first part of the task. Yet some behavioral learning also took place in the second part of the task as demonstrated by 3 out of 7 behavioral outcome measures also improving within Part 2. This finding does fit the results of Tinga et al. (2020b), a study whose design is most similar to the current study, in which the behavioral learning curve on a comparable SRT was also the steepest at the beginning of the task. Overall, over the course of the task behavioral performance became more correct with shorter movement onset times and total response times, while peak velocity decreased. Additionally, behavioral responses became more precise with both a decrease in spatial error and the total movement area.
Table 1 Behavioral effects (F, p, ηp2) of feedback and task part and its interaction with feedback Effects of feedback
Details (F, p, ηp2) for main effects of feedback and the interaction between task part and feedback effects on each behavioral outcome measure are presented in Table 1 in columns 4–6. In line with previous findings (Tinga et al. 2020a), feedback in general influenced overall behavioral performance. This effect was statistically significant for most of the behavioral outcome measures, these significant effects will be detailed in this section. Number of correct responses was 3.41% lower with Feedback than with No-Feedback, F = 11.65, p < 0.001, ηp2 = 0.04. Additionally, OT was 6.40 ms higher, MT was 5.61 ms lower, and RT was 1.93 ms higher with Feedback, F = 6.87, p = 0.009, ηp2 = 0.02, F = 47.95, p < 0.001, ηp2 = 0.14 and F = 24.63, p < 0.001, ηp2 = 0.08 respectively. PV was 113.89 pixels per second higher and SE was 44.29 pixels higher with Feedback, F = 40.74, p < 0.001, ηp2 = 0.13 and F = 10.64, p = 0.001, ηp2 = 0.03 respectively. These findings demonstrate that throughout the experiment feedback was associated with movements that started later but that were faster with a higher peak velocity. Yet, the spatial error was higher and responses were less correct with feedback, a finding that is in contrast to those demonstrating that feedback compared to no feedback enhances behavioral performance (Faulkner et al. 2011). The fact that feedback led to less correct responses and a higher spatial error in the current study can perhaps be explained by findings showing that trial-by-trial feedback might be distracting, especially when participants have a good sense of the task and their performance (Stanton and Young 2000), or by findings showing that feedback about the outcome of an action can reduce motivation (Kluger and Adler 1993).
In addition to the general effects of feedback, we also examined how learning was affected by feedback. Feedback interacted with task part for number of correct responses and MT, F = 4.93, p = 0.027, ηp2 = 0.02 and F = 4.18, p = 0.042, ηp2 = 0.01 respectively. Post-hoc pairwise comparisons demonstrated that the number of correct responses increased from Part 1 to Part 2 with Feedback or No-Feedback in both parts and with Feedback in Part 1 and No-Feedback in Part 2, all t ≥ 2.78 and all p < 0.035. Yet, the number of correct responses did not increase when No-Feedback was presented in Part 1 and Feedback in Part 2, t = 2.02, p = 0.266. Additionally, participants had more correct responses in Part 1 with No-Feedback compared to Feedback, t = 4.05, p < 0.001, yet no differences in correct responses between No-Feedback and Feedback were found in Part 2, t = 0.82, p = 1.000. These findings demonstrate that responses became more correct over blocks unless there was a switch from No-Feedback in Part 1 to Feedback in Part 2, which might have been caused by responses being more correct in Part 1 when no feedback was provided. Regarding MT, post-hoc pairwise comparisons showed a significant difference for all 4 possible comparisons between Feedback and No-Feedback, all t ≥ 3.21 and all p ≤ 0.009, but with no difference between Part 1 with Feedback and Part 2 with Feedback and no difference between Part 1 with No-Feedback and Part 2 with No-Feedback, all t < 2.45 and all p ≥ 0.09. These findings reflect that MT was higher with No-Feedback in general, but that there was no significant decrease in MT from Part 1 to Part 2 when there was no switch in the type of feedback.
fNIRS effects
Learning effects
The average OXY and HbT changes per block are depicted in Fig. 4. The details of all effects (F, p, ηp2) over blocks on OXY and HbT in the first and second part of the task and from the first to the second part of the task are presented in Table 2 in columns 1–3. Specifics regarding statistically significant effects will be reported in this section. OXY decreased with 0.34 µM within the first part of the task, F = 4.56, p = 0.035, ηp2 = 0.04. HbT decreased with 0.21 µM within the first part of the task and with 0.18 µM from the first to the second part of the task, F = 4.51, p = 0.036, ηp2 = 0.04 and F = 5.22, p = 0.023, ηp2 = 0.02 respectively. Even though OXY seems to change within the second part of the task (see Fig. 4), effects over blocks within this second part and from the first to the second part were not significant. The significant changes in fNIRS outcomes suggest that less cognitive effort needed to be exerted overtime during learning. As HbT decreased both within the first part of the task and over the two task parts, HbT might be more sensitive to learning than OXY.
Table 2 fNIRS effects (F, p, ηp2) of block in part 1 and 2, task part, feedback and the interaction of task part with feedback Effects of feedback
Details (F, p, ηp2) for main effects of feedback and the interaction between task part and feedback effects on both OXY and HbT are presented in Table 2 in columns 4–6. Both fNIRS outcomes were not sensitive to feedback. This finding suggests that fNIRS is unaffected by task feedback.
Relationship with behavioral outcome measures
Details (ηp2) for all effects on the relationship between the fNIRS outcome measures and behavioral performance overall blocks are presented in Table 3. Specifics regarding statistically significant effects will be reported in this section. A decrease in HbT was related to an increase in correct responses and a decrease in SE, F = 11.50, p < 0.001, ηp2 = 0.04 and F = 12.34, p < 0.001, ηp2 = 0.04 respectively. Although HbT was related to behavioral performance, no such relationship was found for OXY. These results suggest that changes in HbT (but not OXY) are coinciding with changes in behavioral performance. Considering the finding that HbT was also more sensitive to changes over time than OXY, HbT seems to be a more suitable outcome measure for measuring learning effects in the current task.
Table 3 fNIRS explanatory power (ηp2) in behavioral outcome measures