nFactors (version 2.4.1.1)

componentAxis: Principal Component Analysis With Only n First Components Retained

Description

The componentAxis function returns a principal component analysis with the first n components retained.

Usage

componentAxis(R, nFactors = 2)

Value

values

numeric: variance of each component/factor retained

varExplained

numeric: variance explained by each component/factor retained

varExplained

numeric: cumulative variance explained by each component/factor retained

loadings

numeric: loadings of each variable on each component/factor retained

Arguments

R

numeric: correlation or covariance matrix

nFactors

numeric: number of components/factors to retain

Author

Gilles Raiche
Centre sur les Applications des Modeles de Reponses aux Items (CAMRI)
Universite du Quebec a Montreal

References

Kim, J.-O. and Mueller, C. W. (1978). Introduction to factor analysis. What it is and how to do it. Beverly Hills, CA: Sage.

Kim, J.-O. and Mueller, C. W. (1987). Factor analysis. Statistical methods and practical issues. Beverly Hills, CA: Sage.

See Also

principalComponents, iterativePrincipalAxis, rRecovery

Examples

# .......................................................
# Example from Kim and Mueller (1978, p. 10)
# Simulated sample: lower diagnonal
 R <- matrix(c( 1.000, 0.560, 0.480, 0.224, 0.192, 0.16,
                0.560, 1.000, 0.420, 0.196, 0.168, 0.14,
                0.480, 0.420, 1.000, 0.168, 0.144, 0.12,
                0.224, 0.196, 0.168, 1.000, 0.420, 0.35,
                0.192, 0.168, 0.144, 0.420, 1.000, 0.30,
                0.160, 0.140, 0.120, 0.350, 0.300, 1.00),
                nrow=6, byrow=TRUE)

# Factor analysis: Selected principal components - Kim and Mueller
# (1978, p. 20)
 componentAxis(R, nFactors=2)

# .......................................................