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Recursive Partitioning and Tree-Based Methods

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Modern Multivariate Statistical Techniques

Part of the book series: Springer Texts in Statistics ((STS))

Abstract

An algorithm known as recursive partitioning is the key to the nonpara- metric statistical method of classification and regression trees (CART) (Breiman, Friedman, Olshen, and Stone, 1984). Recursive partitioning is the step-by-step process by which a decision tree is constructed by either splitting or not splitting each node on the tree into two daughter nodes. An attractive feature of the CART methodology (or the related C4.5 methodology; Quinlan, 1993) is that because the algorithm asks a sequence of hierarchical Boolean questions (e.g., is X j ≤ θ j ?, where θ j is a threshold value), it is relatively simple to understand and interpret the results.

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Izenman, A.J. (2013). Recursive Partitioning and Tree-Based Methods. In: Modern Multivariate Statistical Techniques. Springer Texts in Statistics. Springer, New York, NY. https://doi.org/10.1007/978-0-387-78189-1_9

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