Society of Actuaries (SOA) PA Practice Exam 2025 - Free Actuarial Practice Questions and Study Guide

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What is the role of 'minsplit' in decision trees?

The number of children per node

The maximum depth of the tree

The minimum number of observations required for a split

In decision trees, 'minsplit' refers specifically to the minimum number of observations or data points that are necessary for a node to be eligible for splitting. This constraint ensures that each split in the tree is based on a sufficient amount of data, thus helping to prevent overfitting. By enforcing a minimum threshold for the number of observations at a node, it maintains the robustness of the model, ensuring that decisions at each node are made with enough evidence from the data.

For example, if a node contains fewer than the specified 'minsplit' number of observations, it won’t be split further, leading to a termination in that path of the decision tree. This is critical in the context of decision trees, where creating branches based on very few data points can lead to a model that generalizes poorly on unseen data. This parameter plays a significant role in managing the complexity and interpretability of the decision tree, ensuring that the splits are based on statistically significant amounts of data. Thus, 'minsplit' is a key factor in optimizing the performance of a decision tree model.

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The total number of nodes in the tree

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