What is residual mean deviance in decision tree?

What is residual mean deviance in decision tree?

Residual mean deviance: a measure of the error remaining in the tree after construction. For a regression tree, this is related to the mean squared error. 4. Misclassification rate: the proportion of observations in the training set that were predicted to fall in another class than they actually did.

What is residual mean deviance?

“Residual mean deviance” is the “Total residual deviance” divided by the “Number of observations” – “Number of Terminal Nodes”. “Total residual deviance” is the sum of squares of the residuals.

What is deviance in a tree?

Deviance : Supposes a probability model in which at node of a tree, the probability distribution of the classes is . Each case is eventually assigned to a leaf, and so at each leaf, we have a random sample from the multinomial .

How is deviance measured?

Deviance or delinquency are commonly measured in two ways: through official records concerning convictions and through self-reported measures. Frequency scales measure the number of times that each deviant act has been committed in a certain period of time.

What does deviance mean in a regression tree?

This is the saturated model. Deviance simply measures the difference in “fit” of a candidate model and that of the saturated model. In a regression tree, the saturated model would be one that had as many terminal nodes (leaves) as observations so it would perfectly fit the response.

Is the residual sum of squares a good measure of deviance?

For a classification tree, residual sums of squares is not the most appropriate measure of lack of fit. Instead, there is an alternative measure of deviance, plus trees can be built minimising an entropy measure or the Gini index.

What is the residual deviance of a red oak tree?

  The highest elevation set has virtually no variance because these are (almost) all absences: the residual deviance of this terminal node is low (87.51).   The other two terminal nodes do a poor job of predicting red oak abundance, with residual deviances of 5379 (middle elevations) and 1055 (lowest elevations).

Which is the correct measure of deviance in CART?

This is the same sort of error (or deviance) used in least squares regression. For a classification tree, residual sums of squares is not the most appropriate measure of lack of fit. Instead, there is an alternative measure of deviance, plus trees can be built minimising an entropy measure or the Gini index. The latter is the default in rpart.