lisrel_xx: LISREL Structural Equations with Latent Variables (xx).
In jeksterslabds/jeksterslabRds: Jekster's Lab Data Science and Statistics

Description Usage Arguments Details Value Author(s) References See Also

Model-implied variance-covariance matrix for \mathbf{x} variables (\boldsymbol{Σ}_{\mathbf{xx}} ≤ft( \boldsymbol{θ} \right)) using the LISREL notation for structural equations with latent variables.

1	lisrel_xx(LX, TD, PH)

`LX`	\boldsymbol{Λ}_{\mathbf{x}} q \times n matrix of factor loadings (\boldsymbol{λ}). q is the number of observed indicators (\mathbf{x}) and n is the number of latent exogenous variables (\boldsymbol{ξ}).
`TD`	\boldsymbol{Θ_{\boldsymbol{δ}}} q \times q matrix of residual variances and covariances for \mathbf{x} (\boldsymbol{δ}).
`PH`	\boldsymbol{Φ}_{n \times n} variance-covariance matrix of \boldsymbol{ξ}.

\boldsymbol{Σ}_{\mathbf{xx}} ≤ft( \boldsymbol{θ} \right) = \boldsymbol{Λ}_{\mathbf{x}} \boldsymbol{Φ} \boldsymbol{Λ}_{\mathbf{y}}^{T} + \boldsymbol{Θ}_{\boldsymbol{δ}}

Returns the model-implied variance-covariance matrix for \mathbf{x} (\boldsymbol{Σ}_{\mathbf{xx}} ≤ft( \boldsymbol{θ} \right)) derived from the \boldsymbol{Λ}_{\mathbf{x}} (LX), \boldsymbol{Θ}_{\boldsymbol{δ}} (TD), and \boldsymbol{Φ} (PH) matrices.

Ivan Jacob Agaloos Pesigan

Bollen, K. A. (1989). Structural equations with latent variables. New York: Wiley.

Jöreskog, K. G., & Sörbom, D. (1996). Lisrel 8: User's reference guide (2nd ed.). Scientific Software.

Other SEM notation functions: eqs_mu(), eqs(), lisrel_fa(), lisrel_obs_xy(), lisrel_obs_yx(), lisrel_obs_yy(), lisrel_obs(), lisrel_xy(), lisrel_yx(), lisrel_yy(), lisrel(), ram_mu(), ram_m(), ram_s(), ram(), sem_fa(), sem_lat(), sem_obs()