Github user sethah commented on a diff in the pull request:

    https://github.com/apache/spark/pull/8734#discussion_r50285840
  
    --- Diff: 
mllib/src/main/scala/org/apache/spark/ml/tree/impl/RandomForest.scala ---
    @@ -740,7 +740,7 @@ private[ml] object RandomForest extends Logging {
                   val categoryStats =
                     binAggregates.getImpurityCalculator(nodeFeatureOffset, 
featureValue)
                   val centroid = if (categoryStats.count != 0) {
    -                categoryStats.predict
    +                categoryStats.prob(categoryStats.predict)
    --- End diff --
    
    I don't believe this is correct. Ordering by the probability of the 
prediction is essentially the same as ordering by impurity. That's because when 
the impurity is low, the predicted value will have high probability and vice 
versa. 
    
    From Hastie, Tibshirani, and Friedman:
    "We order the predictor classes according to the proportion falling in 
outcome class 1. Then we split this predictor as if it were an ordered 
predictor."
    
    For binary category I think it should be as @jkbradley suggested 
`categoryStats.stats(1)`


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