Details Report
When a simple Correspondence Analysis is performed, the report lists the singular values from the following singular value decomposition:
where:
• P is the matrix of counts divided by the total frequency
• r and c are the row and column sums of P
• the D matrices are diagonal matrices of the values of r and c
• Λ is the column vector of singular values
When Multiple Correspondence Analysis is performed, the singular value decomposition extends to the following equation:
where:
• C is the Burt table
• d is a column vector of the column sums of C (d is also the row sums, since C is symmetric)
• D is a diagonal matrix of the values of d
In the Details report, the inertia is the column vector Λ. The singular value is the square root of the inertia vector. The column coordinates are calculated as follows:
