. 2014 Oct 20;9(10):e108679. doi: 10.1371/journal.pone.0108679

Table 2. Model fitting summary.

Model		Goodness of fit				Deviance		Transfer to KSS
No	Description	log L	ε		η	vs	chi2	a	b
	Models with observed sleeps in the home base time zone (n = 5744)
1a	Null model	−11798.9		1.887				4.58
1b	Random intercept	−11174.1		1.656	0.809	1a	1250	4.62
2a	C	−11125.7		1.642	0.813	1b	97	4.67	−0.14
2b	S	−10559.8		1.485	0.808	1b	1229	9.82	−0.45
2c	S_B	−10520.5		1.474	0.828	2b	79	9.70	−0.46
3a	SC	−10315.0		1.422	0.819	1b	1718	10.19	−0.47
3b	SCW	−10629.3		1.504	0.815	3a	−629	8.51	−0.35
3c	SCU	−10298.2		1.418	0.818	3a	34	10.03	−0.48
3d	SCUW	−10590.4		1.493	0.814	3c	−584	8.57	−0.36
4a	SC_p15h	−10151.9		1.382	0.810			9.46	−0.40
4b	SC_p15U	−10163.8		1.385	0.809			9.13	−0.39
4c	SC_TU	−10114.0		1.372	0.811			9.41	−0.42
4d	SC_T	−10102.6		1.370	0.811	4c	23	9.75	−0.43
5a	S_BC	−10313.8		1.421	0.838	3a	2	9.83	−0.46
5b	S_BCW	−10629.5		1.503	0.823	5a	−631	8.24	−0.33
5c	S_BCU	−10297.7		1.417	0.839	5a	32	9.68	−0.46
5d	S_BCUW	−10593.0		1.494	0.823	5c	−591	8.28	−0.35
6a	S_BC_p15h	−10118.6		1.373	0.827	5c	358	9.30	−0.41
6b	S_BC_p15hU	−10128.0		1.375	0.826	5c	339	8.99	−0.40
6c	S_BC_TU	−10083.5		1.364	0.829	5c	428	9.24	−0.42
6d	S_BC_T	−10074.5		1.362	0.829	5c	446	9.56	−0.43
	Models with generated sleeps in the home base time zone (n = 5744)
7a	S_BCU	−10464.8		1.460	0.826	5c	−334	9.68	−0.47
7b	S_BC_p15hU	−10468.2		1.461	0.812	7a	−7	9.03	−0.42
7c	S_BC_p15hU (new thresholds)	−10279.4		1.413	0.809	7a	371	8.71	−0.37
7d	S_BC_TU (new thresholds)	−10245.1		1.405	0.812	7a	439	9.04	−0.40
8a	S_BC	−10488.8		1.466	0.822	7a	−48	9.77	−0.46
8b	S_BC_p15h	−10477.6		1.464	0.811	7a	−26	9.30	−0.42
8c	S_BC_p15h (new thresholds)	−10273.7		1.412	0.808	7a	382	8.99	−0.38
8d	S_BC_T (new thresholds)	−10241.6		1.404	0.811	7a	446	9.33	−0.40
	Models on data in all time zones (n = 8040)
10a	S_BC	−15344.6		1.449	0.816			9.74	−0.45
10b	S_BC_p15h	−15081.1		1.404	0.807	10a	527	9.30	−0.41
10c	S_BC_T	−15027.5		1.395	0.807	10a	634	9.52	−0.42
11a	S_BC_TA_100%	−15086.0		1.405	0.806	10c	−117	9.49	−0.42
11b	S_BC_TA_50%	−15003.8		1.391	0.806	10c	47	9.54	−0.43
11c	S_BC_TA_30%	−14999.1		1.391	0.806	10c	57	9.55	−0.43

Note. Description lists model components (SCUWA) used to calculate the alertness score. Subscripts indicate the presence of the “brake function” described in equation 2–3 for process S (B), if the phase of C was different from the default p = 16.8 h based on circadian type (T) or set at 15 h (p15h) for all subjects, and the daily acclimatization rate for process A (%). log L = log likelihood. ε = residual standard deviation. η = subject level random effect standard deviation. All models (except 1a & 1b) are based on equation 11 and differ only in how the alertness score was calculated. Deviance indicate 2*- log likelihood difference (chi2) compared to selected models (vs). Transfer to KSS describes the best fitting constant (a) and coefficient (b) to transfer the alertness score to KSS (equation 9).