lisrel_mat: LISREL Matrices
In jeksterslabds/jeksterslabRds: Jekster's Lab Data Science and Statistics

Helper function to construct LISREL Matrices

1	lisrel_mat(LY, LX, TE, TD, eta_on_eta = NULL, eta_on_xi, PS, PH, latent = TRUE)

`LY`	\boldsymbol{Λ}_{\mathbf{y}} p \times m matrix of factor loadings (\boldsymbol{λ}). p is the number of observed indicators (\mathbf{y}) and m is the number of latent endogenous variables (\boldsymbol{η}).
`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}).
`TE`	\boldsymbol{Θ_{\boldsymbol{ε}}} p \times p matrix of residual variances and covariances for \mathbf{y} (\boldsymbol{ε}). If a vector is supplied, the matrix is assummed to be a diagonal matrix with diagonals equal to `TE`.
`TD`	\boldsymbol{Θ_{\boldsymbol{δ}}} q \times q matrix of residual variances and covariances for \mathbf{x} (\boldsymbol{δ}). If a vector is supplied, the matrix is assummed to be a diagonal matrix with diagonals equal to `TD`.
`eta_on_eta`	Vector values of the strict lower triangle of \mathbf{B}_{m \times m} (`BE`), that is, the coefficients for endogenous variables. Note that lower triangle is populated by column. If no value for `eta_on_eta` is provided, it is assumed that there are no direct paths between any of the endogenous variables.
`eta_on_xi`	Vector values of \boldsymbol{Γ}_{m \times n} coefficient matrix for latent exogenous variables. Note that matrix is populated by column.
`PS`	\boldsymbol{Ψ}_{m \times m} variance-covariance of \boldsymbol{ζ}. \boldsymbol{ζ} is a matrix of residual variances and covariances in regression equations. If a vector is supplied, the matrix is assummed to be a diagonal matrix with diagonals equal to `PS`.
`PH`	\boldsymbol{Φ}_{n \times n} variance-covariance matrix of \boldsymbol{ξ}. If a vector is supplied, the matrix is assummed to be a diagonal matrix with diagonals equal to `PH`.
`latent`	Logical. If `TRUE`, uses the structural equations with latent variables LISREL notation, If `FALSE`, uses the structural equations with observed variables LISREL notation.