The c-index is not proper for the evaluation of t-year predicted risks
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The c-index is not proper for the evaluation of t-year predicted risks. / Blanche, Paul; Kattan, Michael W; Gerds, Thomas A.
In: Biostatistics, Vol. 20, No. 2, 2019, p. 347-357.Research output: Contribution to journal › Journal article › Research › peer-review
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TY - JOUR
T1 - The c-index is not proper for the evaluation of t-year predicted risks
AU - Blanche, Paul
AU - Kattan, Michael W
AU - Gerds, Thomas A
PY - 2019
Y1 - 2019
N2 - We show that the widely used concordance index for time to event outcome is not proper when interest is in predicting a $t$-year risk of an event, for example 10-year mortality. In the situation with a fixed prediction horizon, the concordance index can be higher for a misspecified model than for a correctly specified model. Impropriety happens because the concordance index assesses the order of the event times and not the order of the event status at the prediction horizon. The time-dependent area under the receiver operating characteristic curve does not have this problem and is proper in this context.
AB - We show that the widely used concordance index for time to event outcome is not proper when interest is in predicting a $t$-year risk of an event, for example 10-year mortality. In the situation with a fixed prediction horizon, the concordance index can be higher for a misspecified model than for a correctly specified model. Impropriety happens because the concordance index assesses the order of the event times and not the order of the event status at the prediction horizon. The time-dependent area under the receiver operating characteristic curve does not have this problem and is proper in this context.
U2 - 10.1093/biostatistics/kxy006
DO - 10.1093/biostatistics/kxy006
M3 - Journal article
C2 - 29462286
VL - 20
SP - 347
EP - 357
JO - Biostatistics
JF - Biostatistics
SN - 1465-4644
IS - 2
ER -
ID: 198707021