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Table 2 Mixed effect models with the best fractional polynomial function for childhood BMI trajectory, by model degreea

From: Childhood body mass index trajectories: modeling, characterizing, pairwise correlations and socio-demographic predictors of trajectory characteristics

Degree No. of candidate models Included age terms in the mixed effect model with the best fractional polynomial function Goodness of fit (smaller is better)b
   Age(-2) Age(-1) Age(-0.5) log(Age) Age0.5 Age Age2 Age3 -2 Log likelihood BIC
Boys (N = 1,680)            
3 rd degree 56     × × ×    150196 150218
4th degree 70   ×   × × ×    149688 149710
5th degree 56 × × × × ×     147836 147858
6th degree 28 × × × × × ×    148889 148911
7th degree 8 × × × × × × ×   161668 161690
8th degree 1 × × × × × × × × 166173 166181
Girls (N = 1,609)            
3 rd degree 56     × × ×    141787 141809
4th degree 70   × × × ×     139990 140012
5th degree 56 × × × × ×     138131 138153
6th degree 28 × × × × × ×    140079 140101
7th degree 8 × × × × × × ×   152402 152424
8th degree 1 × × × × × × × × 156241 156248
  1. BIC, Bayesian information criterion
  2. a Data from 3,289 children with at least 18 well-child visits from age 1 week to 18 years
  3. b The best-fitting models are in bold font