Row and standardized coordinates for Simple Correspondence Analysis

Row principal coordinate

Row profiles lie in a d-dimensional space. The full set of d principal axes span this space. Suppose fi1, fi2, fi3, ..., fid 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 fik.

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, fi1,..., fik are the row principal coordinates of the profile in this subspace.

Standardized coordinates

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

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

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