psych (version 1.0-33)

factor.residuals: R* = R- F F'

Description

The basic factor or principal components model is that a correlation or covariance matrix may be reproduced by the product of a factor loading matrix times its transpose. Find the residuals of the original minus the reproduced matrix. Used by factor.fit, VSS, ICLUST, etc.

Usage

factor.residuals(r, f)

Arguments

r
A correlation matrix
f
A factor model matrix

Value

  • rstar is the residual correlation matrix.

Details

The basic factor equation is $_nR_n \approx _{n}F_{kk}F_n'+ U^2$. Residuals are just R* = R - F'F.

See Also

factor.pa, principal, VSS, ICLUST