Affiliation:
1. Institut für Epidemiologie, Biostatistik und Prävention , Universität Zürich , Zürich , Switzerland
Abstract
Abstract
We study and compare several variants of random forests tailored to prognostic models for ordinal outcomes. Models of the conditional odds function are employed to understand the various random forest flavours. Existing random forest variants for ordinal outcomes, such as Ordinal Forests and Conditional Inference Forests, are evaluated in the presence of a non-proportional odds impact of prognostic variables. We propose two novel random forest variants in the model-based transformation forest family, only one of which explicitly assumes proportional odds. These two novel transformation forests differ in the specification of the split procedures for the underlying ordinal trees. One of these split criteria is able to detect changes in non-proportional odds situations and the other one focuses on finding proportional-odds signals. We empirically evaluate the performance of the existing and proposed methods using a simulation study and illustrate the practical aspects of the procedures by a re-analysis of the respiratory sub-item in functional rating scales of patients suffering from Amyotrophic Lateral Sclerosis (ALS).
Funder
Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung
Horizon 2020 Framework Programme
Swiss State Secretariat for Education, Research and Innovation
Subject
Statistics, Probability and Uncertainty,General Medicine,Statistics and Probability
Cited by
8 articles.
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