The theoretical distribution of the Goodman-Kruskal statistic (abstract only)
Christos Nikolopoulos · 1987
The Goodman-Kruskal γ statistic is one of the internal criteria used in evaluating how good a hierarchical structure is, and it measures the global fit of the hierarchy imposed by the single link or complete link clustering method on the proximity matrix of ordinal data. This statistic ranks the correlation between proximity ranks and cophenetic (partition) ranks, and is defined as γ = (Sc-sd)/(Sc+Sd), where Sc is the number of the concordant parts and Sd is the number of discordant parts between the proximity matrix and the cophenetic matrix entries.