Table 1. Time x group interaction p-values from generalized estimating (GEE) and linear mixed effect models (LMM).

Outcome measures	Mietus-Snyder et al. GEE.	Corrected GEEa	LMM v1 (without clustering/ nesting)b	LMM v2 (with clustering/ nesting)c	Comparing LMM v1 to LMM v2; Significance in both, neither, or changedd
					Using p<0.05	Using p≤0.002
	Fasting plasma ceramides
Cer C14:0	0.007	0.007	0.013	0.018	Both	Neither
Cer C16:0	0.024	0.024	0.029	0.035	Both	Neither
Cer C18:0	0.192	0.192	0.229	0.236	Neither	Neither
Cer C18:1	0.058	0.058	0.080	0.088	Neither	Neither
Cer C20:0	0.045	0.045	0.060	0.068	Neither	Neither
Cer C20:1	0.325	0.259	0.274	0.281	Neither	Neither
Cer C22:0	0.040	0.040	0.055	0.063	Neither	Neither
Cer C22:1	0.117	0.111	0.125	0.134	Neither	Neither
Cer C24:0	0.356	0.352	0.341	0.348	Neither	Neither
Cer C24:1	0.014	0.014	0.023	0.029	Both	Neither
T. Cer	0.144	0.144	0.147	0.155	Neither	Neither
	Plasma sphingolipid bases
Sphinganine e	p≤0.002 (reported in the text)	0.007	0.013	0.017	Both	Neither
Sphingosine	0.02	0.503	0.573	0.577	Neither	Neither
Dihydro-sphingosine-1-phosphate	0.05	0.488	0.492	0.490	Neither	Neither
Sphingosine -1-phosphate	0.007	0.522	0.549	0.553	Neither	Neither
	Plasma amino acid metabolites
Arginine e	-	0.041	0.065	0.074	Neither	Neither
Serine	0.0001	0.002	0.006	0.009	Both	Neither
Proline	0.0001	<0.001	<0.001	<0.001	Both	Both
Aspartate	0.0001	<0.001	0.001	0.002	Both	Both
Cystathionine	0.0001	0.046	0.059	0.068	Neither	Neither
Sarcosine	0.0001	0.011	0.010	0.014	Both	Neither
Ornithine	0.001	0.178	0.222	0.222	Neither	Neither
Arginine Bioavailability Ratio	0.001	<0.001	0.002	0.003	Both	Changed
Lysine	0.002	0.051	0.061	0.070	Neither	Neither
Alanine	0.003	<0.001	<0.001	0.001	Both	Both
Glutamine	0.007	0.087	0.108	0.115	Neither	Neither
Threonine	0.008	0.032	0.048	0.050	Changed	Neither
Methionine	0.01	0.102	0.144	0.155	Neither	Neither
Fischer ratio	0.01	0.576	0.548	0.537	Neither	Neither
Citrulline	0.02	0.005	0.014	0.019	Both	Neither
Histidine	0.02	0.379	0.354	0.361	Neither	Neither
Tryptophan	0.02	0.405	0.480	0.483	Neither	Neither
Leucine	0.02	0.032	0.064	0.075	Neither	Neither
Phenylalanine	0.03	0.082	0.115	0.125	Neither	Neither
	Anthropometric and clinical measures d
Activity score	-	0.483	0.474	0.479	Neither	Neither
Vitamin D	p<0.05 in both adolescent and adult subgroups	<0.001	0.003	0.005	Both	Neither
Weight	-	0.898	0.898	0.898	Neither	Neither
Waist to height ratio	-	0.137	0.162	0.172	Neither	Neither
BMI	-	0.672	0.674	0.677	Neither	Neither
Adiponectin	-	0.551	0.597	0.601	Neither	Neither
HsCRP	-	0.223	0.264	0.271	Neither	Neither
Glucose	-	0.421	0.430	0.435	Neither	Neither
Insulin	-	0.202	0.234	0.242	Neither	Neither
Homeostatic model assessment of insulin resistance	-	0.287	0.310	0.317	Neither	Neither
Plasma total cholesterol	-	0.110	0.134	0.143	Neither	Neither
Plasma triglyceride	-	0.416	0.450	0.455	Neither	Neither
LDL	-	0.222	0.241	0.248	Neither	Neither
HDL	-	0.259	0.302	0.309	Neither	Neither
Systolic blood pressure	p<0.05 in adolescent subgroup	0.058	0.083	0.092	Neither	Neither
Diastolic blood pressure	-	0.235	0.272	0.281	Neither	Neither
Resting heart rate	-	0.106	0.136	0.146	Neither	Neither

^a These p-values represent revised values of the incorrect report in The Article after discussions with the authors. These p-values are thus calculated with the model used by Mietus-Snyder et al. that ignores household clustering.

^b This model still ignores household clustering and nesting.

^c Including random intercepts for household units and adjusted degrees of freedom using between-within method.

^d Comparing LMM models with and without clustering and nesting effects being accounted for. We note both <0.05 and ≤0.002 thresholds per the authors’ intention to use them for different outcomes. Because they were used inconsistently in the text, we report here the consequences for both.

^e Exact p-values for Arginine, Sphinganine, and anthropometric and clinical measures were not reported in The Article.