I try to use Agglomerative Clustering to cluster some Data but i dont know which number of clusters are perfect. Here are my results:
The Database consists out of 65 Classes to be recognize. Gini Value=0.265.
Don't use these measures for choosing k. Because they compare to the known solution. If you have a known solution, why choose an approximation instead?
Probably just a coincidence. But you may want to study the equations, maybe they do agree at this point.
For AMI, NMI, ARI, etc. the maximum is the k with the largest agreement with your existing labeled solution.