Show that sigma^p _i = 1 sigma^m _j=1 l^2 _if is equal to the sum of the first m

Question

Show that sigma^p _i = 1 sigma^m _j=1 l^2 _if is equal to the sum of the first m eigenvalues and also equal to the sum of all P communalities, as follow sigma^p _i - 1 sigma^m j = 1 l^2 _lj = sigma^p _i=1 sigma^m _j=1 h^2 _ij = sigma^m _j=1 lambda_j Name three methods for obtaining a solution in a factor analysis (NOT rotation methods) Name two methods for rotating loadings in a factor analysis If you run a factor analysis on a correlation matrix, the eigenvalues sum to what number When would you want to run a principal components analysis on a covariance matrix? The product of the eigenvalues of the covariance matrix is equal to the When an eigenvalue is zero, it indicates that the covariance matrix is

Explanation / Answer

5. The product of the eigen values of the covariance is equal to the determinant (generalized variance) of the covariance matrix. When an eigenvalue is zero, it indicates that the covariance matrix is singular (positive semi definite)

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