Documentation of quality measures in Decision Tree Learner

In the Decision Tree Learner node, in the description of the “quality measure” option, you can read:

“Gain ratio: The Gini ratio is simply another name for the Gini index, expressing the same inequality measure as a ratio derived from the area between the Lorenz curve and the line of perfect equality.”

My understanding is that Gain ratio is based entirely on entropy: it normalizes information gain, which itself is computed from entropy, using a second entropy-based term (split information). It is therefore not related to the Gini index, which is a different impurity measure used in other decision tree methods.

Thanks,

Luis