Row and standardized coordinates for Simple Correspondence Analysis

Row profiles lie in a d-dimensional space. The full set of d principal axes span this space. Suppose f_i1, f_i2, f_i3, ..., f_id are the coordinates of row profile i in terms of the principal axes. These coordinates are called the row principal coordinates. The kth principal coordinate for row profile i is f_ik.

The best k-dimensional subspace is spanned by the first k principal axes. If we project row profile i onto the best k-dimensional subspace, f_i1,..., f_ik are the row principal coordinates of the profile in this subspace.

The row standardized coordinates for component k are the principal coordinates for component i divided by the square root of the k^th inertia.

The column standardized coordinates for component k are the principal coordinates for component k divided by the square root of the k^th inertia.