## 3 Results
### Effectiveness of the Light Intervention
#### 3.1.5 Randomization Test per Daypart  
In order to evaluate whether the effects of the intervention were different for the three dayparts, we performed randomization tests per daypart for all the light measures. Table 6 shows the results, and Supplementary Material Table S5 displays the descriptives. For the morning measurements, no significant differences were found between the phases. Only for the CCT measures, the differences between phases A\({}_{1}\) and B\({}_{1}\) and A\({}_{2}\) and B\({}_{2}\) reached marginal significance. For the afternoon data, all light measures showed significant differences between phases B\({}_{1}\) and A\({}_{2}\) and A\({}_{2}\) and B\({}_{2}\). For the evening data, there were significant differences for all light measures between phases A\({}_{2}\) and B\({}_{2}\). The difference between B\({}_{1}\) and A\({}_{2}\) was significant for CCT in the evening.  
\begin{table}
\begin{tabular}{c c c c c c c c c} \hline  & **A\({}_{1}\)** & **B\({}_{1}\)** & **A\({}_{2}\)** & **B\({}_{2}\)** & **B\({}_{1}\)-A\({}_{1}\)** & \multicolumn{2}{c}{**A\({}_{2}\)-B\({}_{1}\)**} & \multicolumn{2}{c}{**B\({}_{2}\)-A\({}_{2}\)**} \\ \hline
**Participant 1** & \multicolumn{4}{c}{**Mean**} & \multicolumn{2}{c}{**M\({}_{\mathbf{d}}\)**} & \multicolumn{1}{c}{\(p\)2**} & **M\({}_{\mathbf{d}}\)** & \(p\)** & **M\({}_{\mathbf{d}}\)** & \(p\)** \\ \hline pp1 & & 3896 & 3208 & 3460 & & & \(-\)687.93 & 0.01 * & 251.97 & 0.131 \\ pp2 & & 4512 & 4215 & 4300 & & & \(-\)297.42 & 0.01 * & 85.29 & 0.244 \\ pp3 & 3779 & 3687 & 3324 & 3566 & \(-\)91.78 & 0.608 & \(-\)362.91 & 0.03 & 241.96 & 0.059 * \\ pp4 & 4137 & 4259 & 3845 & 4179 & 121.77 & 0.274 & \(-\)413.24 & 0.06 * & 333.86 & 0.119 \\ pp5 & 4522 & 4249 & 3814 & 4069 & \(-\)273.02 & 0.899 & \(-\)435.08 & 0.01 & 254.69 & 0.096 \\ pp7 & 4325 & 3898 & 3688 & 3880 & \(-\)426.61 & 0.986 & \(-\)210.23 & 0.06 * & 191.60 & 0.061 * \\ pp8 & 4010 & 3844 & 4358 & 4609 & \(-\)165.99 & 0.806 & 514.08 & 0.99 & 250.51 & 0.187 \\ pp9 & 3410 & 3847 & 3801 & 4370 & 437.29 & 0.01 & \(-\)45.60 & 0.4 & 568.33 & 0.003 \\ pp10 & 4060 & 3859 & 3918 & 4249 & \(-\)201.08 & 0.759 & 58.74 & 0.59 & 331.45 & 0.111 \\ pp11 & 3676 & 4006 & & & & 330.16 & 0.058 & & & \\ pp12 & 3496 & 4115 & 4149 & 4319 & 619.53 & 0.007 * & 33.55 & 0.53 & 170.52 & 0.179 \\ \hline \multicolumn{8}{c}{Overall effects} \\ \multicolumn{8}{c}{Mean difference 3} \\ \multicolumn{8}{c}{Cohen’s \(d\) 3} \\ \multicolumn{8}{c}{Sum \(p\)} \\ \multicolumn{8}{c}{Overall \(p\)} \\ \multicolumn{8}{c}{Overall \(p\)} \\ \multicolumn{8}{c}{\({}^{1}\) Participants 1 and 2 had no valid observations for phase A\({}_{1}\). Participant 6 dropped out of the study. Participant 11 had no valid observations for phases A\({}_{2}\) and B\({}_{2}\). 2 Individual \(p\)-values below 0.1 are marked with an asterisk. 3 Note that the mean differences and Cohen’s \(d\) were not used in the randomization test.} \\ \end{tabular}
\end{table}
Table 5: Mean Kelvin values and mean differences and \(p\)-values for all phases.  
Dappart Differentiation Conclusion  
The randomization tests showed that the differences between the phases were most pronounced in the afternoon for all light measures. In the evening, there were significant differences between phases A\({}_{2}\) and B\({}_{2}\) for all light measures. No differences in light measures between the phases were found in the morning.