All SEM analyses were conducted using Mplus (Verson 4.0; Muthén & Muthén, 1998–2006). Several different fit indices were included to evaluate model fit, including the comparative fit index (CFI), the root mean square error of approximation (RMSEA), the Tucker-Lewis index (TLI), and the standardized root mean square residual (SRMR). Fit indices were evaluated based on the recommendations made by Hu and Bentler (1999); specifically cutoff values close to .95 for the TLI and CFI, cutoff values close to .06 for the RMSEA, and cutoff values close to .08 for the SRMR indicate good fitting models. Full-information maximum likelihood (FIML) was used to estimate parameters in model testing to reach an analysis sample size of 197 for the 12, 24, and 36 month data. Indirect effects for the hypothesized association between parents' alcohol diagnosis and warm/sensitive parenting were calculated using the delta method (Sobel, 1982).
