library(lcsm)
#> This is lcsm 0.3.2
#> Please report any issues or ideas at:
#> https://github.com/milanwiedemann/lcsm/issues
#> Depending on the specified model, the following parameters can be estimated for univariate LCSMs:
| Parameter | Description |
|---|---|
| gamma_lx1 | Mean of latent true scores x (Intercept) |
| sigma2_lx1 | Variance of latent true scores x |
| sigma2_ux | Variance of observed scores x |
| alpha_g2 | Mean of change factor (g2) |
| alpha_g3 | Mean of change factor (g3) |
| sigma2_g2 | Variance of change factor (g2) |
| sigma2_g3 | Variance of change factor (g3) |
| sigma_g2lx1 | Covariance of change factor (g2) with the initial true score x |
| sigma_g3lx1 | Covariance of change factor (g3) with the initial true score x |
| sigma_g2g3 | Covariance of change factors within construct x |
| beta_x | Proportional change x |
| phi_x | Autoregression of change scores x |
For bivariate LCSMs, estimated parameters can be categorised into (1) Construct X, (2) Construct Y, and (3) Coupling between X and Y.
| Parameter | Description |
|---|---|
| Construct X | |
| gamma_lx1 | Mean of latent true scores x (Intercept) |
| sigma2_lx1 | Variance of latent true scores x |
| sigma2_ux | Variance of observed scores x |
| alpha_g2 | Mean of change factor (g2) |
| alpha_g3 | Mean of change factor (g3) |
| sigma2_g2 | Variance of change factor (g2) |
| sigma2_g3 | Variance of change factor (g3) |
| beta_x | Proportional change x |
| sigma_g2lx1 | Covariance of change factor (g2) with the initial true score x (lx1) |
| sigma_g3lx1 | Covariance of change factor (g3) with the initial true score x (lx1) |
| sigma_g2g3 | Covariance of change factors within construct x |
| phi_x | Autoregression of change scores x |
| Construct Y | |
| gamma_ly1 | Mean of latent true scores y (Intercept) |
| sigma2_ly1 | Variance of latent true scores y |
| sigma2_uy | Variance of observed scores y |
| alpha_j2 | Mean of change factor (j2) |
| alpha_j3 | Mean of change factor (j3) |
| sigma2_j2 | Variance of change factor (j2) |
| sigma2_j3 | Variance of change factor (j3) |
| beta_y | Proportional change y |
| sigma_j2ly1 | Covariance of change factor (j2) with the initial true score y (ly1) |
| sigma_j3ly1 | Covariance of change factor (j3) with the initial true score y (ly1) |
| sigma_j2j3 | Covariance of change factors within construct y |
| phi_y | Autoregression of change scores y |
| Coupeling X & Y | |
| sigma_su | Covariance of residuals x and y |
| sigma_ly1lx1 | Covariance of intercepts x and y |
| sigma_g2ly1 | Covariance of change factor x (g2) with the initial true score y (ly1) |
| sigma_g3ly1 | Covariance of change factor x (g3) with the initial true score y (ly1) |
| sigma_j2lx1 | Covariance of change factor y (j2) with the initial true score x (lx1) |
| sigma_j3lx1 | Covariance of change factor y (j3) with the initial true score x (lx1) |
| sigma_j2g2 | Covariance of change factors y (j2) and x (g2) |
| sigma_j2g3 | Covariance of change factors y (j2) and x (g3) |
| sigma_j3g2 | Covariance of change factors y (j3) and x (g2) |
| delta_con_xy | Change score x (t) determined by true score y (t) |
| delta_con_yx | Change score y (t) determined by true score x (t) |
| delta_lag_xy | Change score x (t) determined by true score y (t-1) |
| delta_lag_yx | Change score y (t) determined by true score x (t-1) |
| xi_con_xy | Change score x (t) determined by change score y (t) |
| xi_con_yx | Change score y (t) determined by change score x (t) |
| xi_lag_xy | Change score x (t) determined by change score y (t-1) |
| xi_lag_yx | Change score y (t) determined by change score x (t-1) |