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Proportional Relative Hazards Model for Competing Risks Data

Shen, H.; Jeong, J.-H.; Mell, L. K.

2020-09-01 oncology
10.1101/2020.08.27.20183244 medRxiv
Show abstract

In this article, we propose a Proportional Relative Hazards (PRH) model to differentiate subjects according to their risk for a primary event relative to competing events. The model estimates effects on the baseline ratio of the hazard for a primary event, or set of primary events, relative to the hazard for a competing event, or set of competing events ({omega}+ ratio). An analogous model is presented to estimate effects on the baseline ratio of the hazard for a primary event (or set of events) relative to the hazard for all events ({omega} ratio). A weighted regression method is introduced, along with practical presentation of risk-stratification using the PRH model in breast and head and neck cancer data sets.

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