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. 2019 May 10;1(2):240–258. doi: 10.3390/clockssleep1020021

Table 3.

Statistical outputs of the GLMMs seeking for association between subjective affective dimensions and pupil size measures.

Steady-State
Pupil Size
Circadian Phase Steady-State Pupil Size x Circadian Phase
Dependent variables Motivation F1,196.7 = 4.46
p = 0.04
R2β* = 0.022
F12,162.2 = 2.79
p = 0.002
R2β* = 0.17
F12,161.7 = 1.62
p = 0.09
Joy F1,194.8 = 2.81
p = 0.095
F12,164.5 = 1.90
p = 0.04
R2β* = 0.12
F12,164 = 1.24
p = 0.26
Stress F1,172.9 = 1.20
p = 0.27
F12,160.5 = 1.60
p = 0.096
F12,160.4 = 1.00
p = 0.45
Anguish F1,199.5 = 0.87
p = 0.35
F12,162.4 = 1.61
p = 0.094
F12,161.5 = 1.48
p = 0.14
Sociability F1,198.4 = 0.68
p = 0.41
F12,161.2 = 2.19
p = 0.01
R2β* = 0.14
F12,160.2 = 1.52
p = 0.12
Pupil size
variability
Circadian phase Pupil size variability x circadian phase
Dependent variables Motivation F1,185.5 = 0.91
p = 0.34
F12,165.2 = 1.99
p = 0.03
R2β* = 0.13
F12,163.2 = 0.77
p = 0.68
Joy F1,182.6 = 2.36
p = 0.13
F12,165.2 = 3.34
p = 0.0002
R2β* = 0.2
F12,163.1 = 1.23
p = 0.27
Stress F1,161.1 = 0.71
p = 0.40
F12,161.9 = 0.76
p = 0.69
F12,161.3 = 0.30
p = 0.99
Anguish F1,193.9 = 4.81
p = 0.03
R2β* = 0.024
F12,165.2 = 1.90
p = 0.04
R2β* = 0.12
F12,162.4 = 1.68
p = 0.076
Sociability F1,189.6 = 4.02
p = 0.046
R2β* = 0.021
F12,165.2 = 1.29
p = 0.23
F12,162.6 = 0.84
p = 0.61

Each dependent variable was included in a separate GLMM including pupil measure, circadian phase and their interaction. Degrees of freedom were computed following Kenward-Roger method. Significant linear links are in bold and statistical trends (p < 0.1) are in italic. R2β* represents semi-partial R2 as proposed by [41] (see methods). GLMMs were set according to dependent variables distribution.