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Add the accuracy in time evaluation metric #74

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Vincent-Maladiere opened this issue Aug 23, 2024 · 0 comments
Open

Add the accuracy in time evaluation metric #74

Vincent-Maladiere opened this issue Aug 23, 2024 · 0 comments

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@Vincent-Maladiere
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As presented in the paper, for competing risks, the accuracy in time answers the question "Does my model accurately predict which event will occur first to individuals at a given horizon?".

It differentiates from the C-index which answers an alternative question: "Does my model accurately rank individuals by their incidence probability for a specific event of interest?

A model with good accuracy in time is useful for the physicist to determine where to focus the treatment for a given individual. A model with a good C-index on the other hand is useful to allocate treatment resources to individuals that need it the most.

In the paper, we introduced the accuracy in time as:

Screenshot 2024-08-23 at 16 12 58

where

Screenshot 2024-08-23 at 16 15 15

is the most probable event at time horizon $\zeta$,

Screenshot 2024-08-23 at 16 32 07

is the event (or censoring) observed at $\zeta$, and $n_{nc}$ represents the number of individuals uncensored at $\zeta$.

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