I'm using R to run RandomForest and generate a Variable Importance Plot from Classification. However, I am interested in understanding the direction that the important variables help to explain. For this question, I'll use the Titanic results presented here : http://trevorstephens.com/kaggle-titanic-tutorial/r-part-5-random-forests/
Here, they were trying to determine predictors of Survival or Non-Survival on the Titanic, and found that the top predictors that produced the greatest Mean Decrease in Accuracy were title, fare, Pclass, etc. In the instance of "Fare", we could likely guess that higher fare predicts higher survival, but is there a good way of testing this statistically? I've run t-tests or chi-square tests to see if these variables are significantly different between my classification groups (and if so, in what direction), and often they are not. Are there other methods of understanding the role of the top predictors from RF?