Compute Initial Values for Parameters of Latent Growth Curve Models or Latent Change Score Models with Time-invariant Covariates (If Any)
Compute Initial Values for Parameters of Latent Growth Curve Models or Latent Change Score Models with Time-invariant Covariates (If Any)
This function computes the initial values of the parameters for a latent growth curve model or a latent change score model with time-invariant covariates (if any).
dat: A wide-format data frame, with each row corresponding to a unique ID. It contains the observed variables with repeated measurements and occasions, and time-invariant covariates (TICs) if any. It takes the value passed from getLGCM()
or getLCSM().
t_var: A string specifying the prefix of the column names corresponding to the time variable at each study wave. It takes the value passed from getLGCM() or getLCSM().
y_var: A string specifying the prefix of the column names corresponding to the outcome variable at each study wave. It takes the value passed from getLGCM() or getLCSM().
curveFun: A string specifying the functional form of the growth curve. Supported options for latent growth curve models include: "linear" (or "LIN"), "quadratic" (or "QUAD"), "negative exponential"
(or "EXP"), "Jenss-Bayley" (or "JB"), and "bilinear spline" (or "BLS"). Supported options for latent change score models include: "quadratic" (or "QUAD"), "negative exponential" (or "EXP"), "Jenss-Bayley" (or "JB"), and "nonparametric" (or "NonP"). It takes the value passed from getLGCM()
or getLCSM().
records: A numeric vector specifying indices of the study waves. It takes the value passed from getLGCM() or getLCSM().
growth_TIC: A string or character vector specifying the column name(s) of time-invariant covariate(s) contributing to the variability of growth factors if any. It takes the value passed from getLGCM() or getLCSM().
res_scale: A numeric value representing the scaling factor for the initial calculation of the residual variance. This value should be between 0 and 1, exclusive. It takes the value passed from getLGCM() or getLCSM().
Returns
A list containing the initial values for parameters related to growth factors, TICs (if any), and path coefficients (if any) of a latent growth curve model or a latent change score model. The returned list has the following structure:
Y_starts:: A list containing three elements:
- **alpha0 or mean0:**: Depends on whether `growth_TIC` is provided,
- **psi_r or psi0:**: Depends on whether `growth_TIC` is provided,
- **residuals.**:
TIC_starts:: Only provided when growth_TIC is not NULL.
beta0:: Only provided when growth_TIC is not NULL.
Each of these elements is a numeric vector or matrix containing the initial parameter estimates.