Description Usage Arguments Details Value References See Also

Compute summary measures of a time-dependent AUC curve

1 | ```
IntAUC(AUC, times, S, tmax, auc.type="cumulative")
``` |

`AUC` |
A vector of AUCs. |

`times` |
The vector of time points corresponding to |

`S` |
A vector of survival probabilities corresponding to |

`tmax` |
A number specifying the upper limit of the time range for which to compute the summary measure. |

`auc.type` |
A string defining the type of AUC. 'cumulative' refers to cumulative/dynamic AUC, 'incident' refers to incident/dynamic AUC. |

This function calculates the integral under a time-dependent AUC curve (“IAUC”
measure) using the integration limits [0, `tmax`

]. The values of the AUC curve are
specified via the `AUC`

argument.

In case `auc.type = "cumulative"`

(cumulative/dynamic IAUC), the values of
`AUC`

are weighted by the estimated probability density of
the time-to-event outcome. In case `auc.type = "incident"`

(incident/dynamic
IAUC), the values of `AUC`

are weighted by 2 times the product of the estimated
probability density and the (estimated) survival function of the time-to-event outcome.
The survival function has to be specified via the `S`

argument.

As shown by Heagerty and Zheng (2005), the incident/dynamic version of IAUC can be interpreted as a global concordance index measuring the probability that observations with a large predictor value have a shorter survival time than observations with a small predictor value. The incident/dynamic version of IAUC has the same interpretation as Harrell's C for survival data.

A scalar number corresponding to the summary measure of interest.

Harrell, F. E., R. M. Califf, D. B. Pryor, K. L. Lee and R. A. Rosati (1982).

Evaluating
the yield of medical tests.

*Journal of the American Medical Association*
**247**, 2543–2546.

Harrell, F. E., K. L. Lee, R. M. Califf, D. B. Pryor and R. A. Rosati (1984).

Regression
modeling strategies for improved prognostic prediction.

*Statistics in Medicine*
**3**, 143–152.

Heagerty, P. J. and Y. Zheng (2005).

Survival model predictive accuracy and
ROC curves.

*Biometrics* **61**, 92–105.

`AUC.cd`

, `AUC.sh`

, `AUC.uno`

,
`AUC.hc`

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