In statistical terms, factor analysis is a method to model the population covariance matrix of a set of variables using sample data. Factor analysis is used for theory development, psychometric instrument development, and data reduction. Figure 1.
This page shows an example of a factor analysis with footnotes explaining the output. The data used in this example were collected by Professor James Sidanius, who has generously shared them with us. You can download the data set M
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Factor analysis is a statistical method used to describe variability among observed, correlated variables in terms of a potentially lower number of unobserved variables called factors. For example, it is possible that variations in six observed variables mainly reflect the variations in two unobserved underlying variables. Factor analysis searches for such joint variations in response to unobserved latent variables.
Conceived and designed the experiments: CvdE JR. Performed the experiments: CvdE JR. Analyzed the data: CvdE JR.
Factor analysis is a statistical technique for identifying which underlying factors are measured by a much larger number of observed variables. For measuring these, we often try to write multiple questions that -at least partially- reflect such factors. The basic idea is illustrated below.
Adequate statistical power contributes to observing true relationships in a dataset. With a thoughtful power analysis, the adequate but not excessive sample could be detected. Statistical power is the estimation of the sample size that is appropriate for an analysis.
Note: Run Factor Analysis cannot be selected unless your job and data files are open. Using varimax rotation, the user is allowed to preset the number of factors or to determine the number of factors based on a size-of-eigenvalues criterion the default being the set of eigenvalues that are greater than 1. This module also produces factor scores for each respondent for each factor as determined by the factor analysis.
For instance, a survey is created by a credit card company to evaluate satisfaction of customers. This survey is made for answering three categories of questions:. For every survey questionstudy the greatest loadings, be it positive or negative, to find out which factor impacts the question the most. The range of loadings is between -1 to 1.