Table 2.

Estimates of random effects (standard errors in parentheses) and goodness of fit for the time-varying and fixed-intake models without covariates

		Protein		Protein Density
Gender	Parameter	Time-varying intake	Fixed-intake	Time-varying intake	Fixed-intake
Men	Correlation Structure	Compound Symmetry	-	Compound Symmetry	-
	AIC	2045.8	2070.0	−65.8	−34.1
	${\sigma }_{\mathrm{T}1}^2$	0.043 (0.004)	0.043 (0.006)	0.032 (0.004)	0.029 (0.004)
	${\sigma }_{\mathrm{T}2}^2$	0.082 (0.012)	0.065 (0.012)	0.074 (0.011)	0.066 (0.013)
	${\sigma }_{\mathrm{T}3}^2$	0.054 (0.006)	0.052 (0.006)	0.054 (0.005)	0.053 (0.006)
	${\sigma }_{\delta }^2$	0.015 (0.005)	0.034 (0.002)	0.009 (0.006)	0.032 (0.002)
	ω φ	0.301 (0.090)	0	0.438 (0.128)	0
	ρ 12	0.873 (0.073)	1	0.885 (0.079)	1
	ρ 13	0.873	1	0.885	1
	ρ 14	0.873	1	0.885	1
	ρ 15	0.873	1	0.885	1
	ρ 16	0.873	1	0.885	1
Women	Correlation Structure	AR(1)	-	AR(1)	-
	AIC	5525.4	5603.2	682.3	747.9
	${\sigma }_{\mathrm{T}1}^2$	0.058 (0.006)	0.042 (0.006)	0.052 (0.006)	0.038 (0.006)
	${\sigma }_{\mathrm{T}2}^2$	0.101 (0.011)	0.086 (0.012)	0.080 (0.009)	0.058 (0.009)
	${\sigma }_{\mathrm{T}3}^2$	0.050 (0.004)	0.055 (0.007)	0.055 (0.005)	0.061 (0.008)
	${\sigma }_{\mathrm{T}4}^2$	0.051 (0.004)	0.038 (0.005)	0.041 (0.004)	0.023 (0.005)
	${\sigma }_{\mathrm{T}5}^2$	0.057 (0.004)	0.050 (0.006)	0.047 (0.005)	0.028 (0.005)
	${\sigma }_{\delta }^2$	0.007 (0.006)	0.045 (0.002)	0.009 (0.010)	0.049 (0.002)
	ω φ	0.495 (0.109)	0	0.499 (0.162)	0
	ρ 12	0.918 (0.029)	1	0.792 (0.052)	1
	ρ 13	0.843	1	0.627	1
	ρ 14	0.774	1	0.497	1
	ρ 15	0.711	1	0.394	1
	ρ 16	0.652	1	0.312	1