Table 3 LMM analysis for melatonin AUC and melatonin onset (sparse model)

Predictors	Estimates		CI (95%)		Std. error		df		t value		p
	Melatonin AUC	Melatonin onset time	Melatonin AUC	Melatonin onset time	Melatonin AUC	Melatonin onset time	Melatonin AUC	Melatonin onset time	Melatonin AUC	Melatonin onset time	Melatonin AUC	Melatonin onset time
Intercept	83.17	20.68	53.07, 113.27	20.10, 21.26	15.05	0.29	20	24	-	-	-	-
Condition [moderate]	−7.81	0.31	−17.69, 2.07	−0.03, 0.65	5.05	0.17	38	38	−1.55	1.81	0.130	0.078
Condition [bright]	−13.09	0.40	−22.97, −3.21	0.06, 0.74	5.05	0.17	38	38	−2.59	2.31	0.013	0.026
Random effects & Model fit criteria			σ²	τ_{00 subjects}	ICC	N _subjects	Observa-tions	Marginal R² / Conditional R²		AIC
Evening melatonin AUC			254.88	4277.53	0.94	20	60	0.006 / 0.944		571.405
Melatonin onset time			0.30	1.40	0.82	20	60	0.017 / 0.827		163.646

Summary report of linear mixed model (LMM) analyses for melatonin AUC (primary outcome) and melatonin onset (post-hoc analysis), applying the sparse model. Estimates of the AEE light intervention conditions are given relative to the dim AEE light condition. The intercept of the sparse model gives the mean melatonin AUC and onset after the 'dim' AEE light condition. P-Values of (p < 0.05) were considered as significant (in bold).
Abbreviations: AIC Akaike Information Criterion, AUC area under the curve, CI confidence interval (95%), ICC Intraclass Correlation Coefficient, N_subjects number of subjects in the analysis, σ² variance of the residuals of the model, τ_{00 subjects} variance in the random intercepts at the subject level, Std. error standard error of the estimates.

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