findFactorTotalVar {simsem}

Find factor total variances from regression coefficient matrix, factor (residual) correlations, and factor residual variances

Description

Find factor total variances from regression coefficient matrix, factor (residual) correlation matrix, and factor residual variances for latent variable models. In the path analysis model, this function will find indicator total variances from regression coefficient, indicator (residual) correlation matrix, and indicator residual variances.

Usage

findFactorTotalVar(beta, corPsi, residualVarPsi, gamma = NULL, covcov = NULL)

Arguments

beta

Regression coefficient matrix among factors

corPsi

Factor or indicator residual correlations.

residualVarPsi

Factor or indicator residual variances.

gamma

Regression coefficient matrix from covariates (column) to factors (rows)

covcov

A covariance matrix among covariates

Value

A vector of factor (indicator) total variances

Author(s)

Sunthud Pornprasertmanit ([e-mail])

See Also

• findIndIntercept to find indicator (measurement) intercepts

• findIndMean to find indicator (measurement) total means

• findIndResidualVar to find indicator (measurement) residual variances

• findIndTotalVar to find indicator (measurement) total variances

• findFactorIntercept to find factor intercepts

• findFactorMean to find factor means

• findFactorResidualVar to find factor residual variances

• findFactorTotalCov to find factor covariances

Examples

path <- matrix(0, 9, 9)
path[4, 1] <- path[7, 4] <- 0.6
path[5, 2] <- path[8, 5] <- 0.6
path[6, 3] <- path[9, 6] <- 0.6
path[5, 1] <- path[8, 4] <- 0.4
path[6, 2] <- path[9, 5] <- 0.4
facCor <- diag(9)
facCor[1, 2] <- facCor[2, 1] <- 0.4
facCor[1, 3] <- facCor[3, 1] <- 0.4
facCor[2, 3] <- facCor[3, 2] <- 0.4
residualVar <- c(1, 1, 1, 0.64, 0.288, 0.288, 0.64, 0.29568, 0.21888)
findFactorTotalVar(path, facCor, residualVar)