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Table 2 Model fit indices and comparison of LCS models for total weekly alcohol consumption and mental health in the Whitehall II study

From: An exploration of the dynamic longitudinal relationship between mental health and alcohol consumption: a prospective cohort study

  Baseline Alcohol → ΔMCS MCS → Δalcohol Reciprocal
Age and sex adjusted
 Fit statistics
 Log likelihood -146158.161 -146158.041 -146155.151 -146154.760
 χ2 (df) 274.233 (12) 273.995 (11) 268.214 (11) 267.432 (10)
 RMSEA 0.059 0.061 0.061 0.064
 AIC 292380.321 292382.083 292376.302 292377.520
 SSA BIC 292494.731 292500.068 292494.288 292499.081
 CFI 0.982 0.982 0.982 0.982
 TLI 0.959 0.955 0.956 0.952
 Model comparison (difference in χ2 fit (df))
 Versus baseline 0.238 (1), P = 0.63 6.019 (1), P = 0.01 6.801 (2), P = 0.03
 Versus previous best 0.782 (1), P = 0.38
Fully adjusted
 Fit statistics
 Log likelihood -243989.314 -243989.108 -243985.355 -243984.851
 χ2 (df) 328.239 (54) 327.827 (53) 320.320 (53) 319.312 (52)
 RMSEA 0.028 0.029 0.028 0.028
 AIC 488798.629 488800.217 488792.710 488793.702
 SSA BIC 490264.509 490269.672 490262.165 490266.732
 CFI 0.983 0.983 0.984 0.984
 TLI 0.952 0.951 0.953 0.952
 Model comparison (difference in χ2 fit (df))
 Versus baseline 0.412 (1), P = 0.52 7.919 (1), P < 0.01 8.927 (2), P < 0.01
 Versus previous best 1.008 (1), P = 0.32
  1. AIC, Akaike information criterion; CFI, comparative fit index; df, degrees of freedom; LCS, latent change score; MCS, mental health component score; RMSEA, root mean square error of approximation; SSA BIC, sample size adjusted Bayesian information criterion; TLI, Tucker-Lewis index.