Publication date: 04/12/2021

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:

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