factor analysis
a statistical procedure that identifies clusters of related items (called factors) on a test; used to identify different dimensions of performance that underlie a person’s total score.
Factor analysis is a statistical method used to analyze a large data set with many variables and identify underlying factors (or latent variables) that explain the correlations between the variables. The goal of factor analysis is to simplify the data set in such a way that the most important information can be extracted and interpreted easily.
In factor analysis, the data set is analyzed to identify the factor structure of the variables. The factor structure refers to the underlying dimensions or factors that explain the correlations between the variables. The factors are usually identified based on the correlation matrix of the variables.
Factor analysis can be either exploratory or confirmatory. Exploratory factor analysis (EFA) is used to identify the factor structure of the data set when the researcher does not have a pre-specified model. The researcher uses EFA to identify the number of underlying factors and the variables that are most closely related to each factor. Confirmatory factor analysis (CFA) is used to test a pre-specified model based on theory, prior research, or hypotheses. CFA tests whether the model is a good fit to the data.
Factor analysis can also be used for dimension reduction, which means reducing the number of variables in the data set by summarizing them with a smaller number of factors. This can be useful in reducing the complexity of the data set and making it easier to analyze and interpret the results.
Overall, factor analysis is a powerful statistical method that can help researchers identify the most important factors that explain the variability in their data and simplify their analysis.
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