Contents
What does a factor score mean?
A factor score is a numerical value that indicates a person’s relative spacing or standing on a latent factor. In order to develop this definition further, however, we must draw a distinction that grew out of the indeterminacy debate between “factor scores” and “factor score estimates”.
How do you find the factor score?
Factor/component scores are given by ˆF=XB, where X are the analyzed variables (centered if the PCA/factor analysis was based on covariances or z-standardized if it was based on correlations). B is the factor/component score coefficient (or weight) matrix.
What is the mean of a factor score?
The scores that are produced have a mean of 0 and a variance equal to the squared multiple correlation between the estimated factor scores and the true factor values. The scores may be correlated even when factors are orthogonal. Bartlett Scores. A method of estimating factor score coefficients.
How are factor scores estimated in principal components analysis?
The methods for estimating factor scores depend on the method used to carry out the principal components analysis. The vectors of common factors fis of interest. There are munobserved factors in our model and we would like to estimate those factors. Therefore, given the factor model:
Can a factor score be used as an explanatory variable?
We also might use factor scores as explanatory variables in future analyses. It may even be of interest to use the factor score as the dependent variable in a future analysis. The methods for estimating factor scores depend on the method used to carry out the principal components analysis. The vectors of common factors fis of interest.
Where can I find a factor score estimate?
Factor score estimates are also encountered as simple sum scores computed from ability measures, clinical scales, personality questionnaires, etc. that have been constructed using factor analytic methodology.