Computes the congruence coefficient between two data configurations
using the Frobenius inner product of their pairwise distance matrices.
Arguments
- L1
A numeric matrix or data frame (rows = observations)
- L2
A numeric matrix or data frame with the same number of rows as L1
Value
A scalar in \([-1,1]\) measuring similarity between the two configurations.
Details
The congruence coefficient is defined as
$$
\frac{\langle D_1, D_2 \rangle_F}
{\sqrt{\langle D_1, D_1 \rangle_F \langle D_2, D_2 \rangle_F}}
$$
where \(D_1\) and \(D_2\) are the pairwise distance matrices derived from
L1 and L2.