The NCT includes 4 External validity indices and 8 internal validity indices, and the sub-routine validity_Index.m is designed to use them.

This tool is suitable for the research work such as the performance comparison of different indices on estimation of the number of clusters, algorithm design by improving part codes of this toolbox.



i) External validity indices when true class labels are known:

Rand index

Adjusted Rand index

Mirkin index

Hubert index

ii) Internal validity indices when true class labels are unknown:

Silhouette

Davies-Bouldin

Calinski-Harabasz

Krzanowski-Lai

Hartigan

weighted inter- to intra-cluster ratio

Homogeneity

Separation

iii) Others

Error rate (compared with true labels)

System Evolution: it is used to estimate the number of clusters and give separable degrees between clusters.-The NCT includes 4 External validity indices and 8 internal validity indices, and the sub-routine　validity_Index.m　is designed to use them.

　　This tool is suitable for the research work such as the performance comparison of different indices on estimation of the number of clusters, algorithm design by improving part codes of this toolbox.



i)　External validity indices when true class labels are known:

　　Rand index

　　Adjusted Rand index

　　Mirkin index

　　Hubert index

ii) Internal validity indices when true class labels are unknown:

　　Silhouette

　　Davies-Bouldin

　　Calinski-Harabasz

　　Krzanowski-Lai

　　Hartigan

　　weighted inter- to intra-cluster ratio

　　Homogeneity

　　Separation

iii) Others

　　Error rate (compared with true labels)

　　System Evolution: it is used to estimate the number of clusters and give separable degrees between clusters.