Can anyone suggest the statistical tools to compare CART, conditional inference tree, and random forests? I use these three algorithm for regression analysis and want to choose the better one.
I recommend using some form of cross-validation. It's even the name of the site! 10-fold CV is commonly used, but there are other, more sophisticated methods.
Here is an example, based on the caret vignette:
In this example, the random forest has a lower cross-validated RMSE, so I would select that model.