Factor Analysis

R-Mode Factor Analysis

  • R-mode is used to study the covariate relationships (i.e., patterns of relationship among many dependent variables in a data set). In R-mode factor analysis:
    • Loadings are loadings of variables on factors; a negative loading indicates a negative relation of the observed variable to the factor.
    • A loading approaching zero indicates the given variable is unrelated to the factor.
The Analysis Output

The analysis output can include:

  • Correlation Matrix of the Original Data
  • Bartlett's test of sphericity
  • Partial coefficient matrix (the measure of association between each pair of variables after removing any linear association between the pair and all other variables)
  • Kaiser-Meyer-Olkin (KMO) measure of sampling adequacy
  • Reproduced and residual correlation matrices
  • Loadings and communalities for extracted factors
  • Varimax factor loadings
  • R-mode factor scores

Example output from factor analysis of a dataset that is distributed with both full version and demo verion of the application:

Correlation Matrices and Bartlett's Test of Sphericity

Factor Analysis: Correlation Matrix

Factor Analysis: Sphericity Test

Factor Analysis: Partial Correlation

Factor Analysis: Reproduced Correlation Matrix

Factor Analysis: Residual Correlation Matrix

Kaiser-Meyer-Olkin (KMO) Measure of Sampling Adequacy

Factor Analysis: Sampling Adequecy

Factor Loadings and Communality Estimates

Factor Analysis: Loadings

Varimax factor Loadings and Eigenvalues

Factor Analysis: Varimax Factor Loadings

Factor Analysis: Eigenvalues