# interpretation of Goodman Kruskal Gamma

Value of Goodman-Kruskal Gamma = 1 or -1 means that X and Y are monotonic but not strictly so i.e., $X_1 < X_2$ implies $Y_1 \leq Y_2$. Can someone please explain this to me with an example?

• You can see from the formula of Gamma that pairs of cases 1 and 2 where X1=X2 or Y1=Y2 - they are called "ties" - are simply ignored by Gamma. This is why Gamma can attain 1 or -1 in the face of their presence. – ttnphns Aug 24 '14 at 6:40