covmat.from.cfm {MBESS}

Covariance matrix from confirmatory (single) factor model.

Description

Function calculates a covariance matrix using the specified Lambda and Psi.Square values from a confirmatory factor model approach (McDonald, 1999).

Usage

covmat.from.cfm(Lambda, Psi.Square, tol.det = 1e-05)

Arguments

Lambda

the vector of population factor loadings

Psi.Square

the vector of population error variances

tol.det

the specified tolerance for the determinant

Value

Population.Covariance

the population covariance matrix

True.Covariance

the true covariance matrix

True.Covariance

the error covariance matrix

Author(s)

Ken Kelley (University of Notre Dame; [e-mail]); Leann Terry (Indiana University; [e-mail])

References

McDonald, R. P. (1999). Test theory: A unified approach. Mahwah, NJ: Erlbaum.

See Also

CFA.1;sem

Examples

# General Congeneric
# covmat.from.cfm(Lambda=c(.8, .9, .6, .8), Psi.Square=c(.6, .2, .1, .3), tol.det=.00001)


# True-score equivalent
# covmat.from.cfm(Lambda=c(.8, .8, .8, .8), Psi.Square=c(.6, .2, .1, .3), tol.det=.00001)


# Parallel 
# covmat.from.cfm(Lambda=c(.8, .8, .8, .8), Psi.Square=c(.2, .2, .2, .2), tol.det=.00001)