SOCI 3700 Lecture Notes - Lecture 11: Exploratory Factor Analysis, Confirmatory Factor Analysis, Main Diagonal

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Each cell in the table shows the correlation between two variables. Used as a way to summarize data, as an input into a more advanced analysis, and as a diagnostic for advanced analyses. Matrix is symmetrical, with the same correlation shown above the main diagonal being a mirror image of those below the main diagonal. 3 broad reasons for computing a correlation matrix. To summarize a large amount of data where the goal is to see the problem. For ex: people commonly use correlation matrixes as inputs for exploratory factor analysis, confirmatory factor analysis, structural equational models, and linear regression when excluding missing values pairwise. For ex, wth linear regression a high amount of correlations suggest that the linear regression"s estimates will be unreliable. Used to describe how the conditioned mean of the dependent variable changes as the independent variable changes. The slope of the line is the regression coefficient.

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