Description Usage Arguments Details Value References Examples
Compute concordance index (C-index or C-statistic) that allows weights for right-censored survival data. For example, Asano and Hirakawa (2017) proposed cure status weighting for cure models, which reduces to Harrell's C-index if weighs are all ones.
1 |
time |
A numeric vector for observed times |
event |
A numeric vector for event indicators. If it is |
risk_score |
A numeric vector representing the risk scores of events. |
weight |
A optional numeric vector for weights. If it is |
Let r_i, t_i, and δ_i denote the risk score, observed time, and event indicator of i-th subject. The pair of (t_i,δ_i) and (t_j,δ_j), where i<j, are defined to be comparable if t_i<t_j,δ_i=1 or t_i=t_j,δ_i=1,δ_j=0. In the context of survival analysis, the risk scores of a comparable pair are said to be concordant with the survival outcomes if r_i>r_j. The C-index is defined as the proportion of the concordant pairs among the comparable pairs. For comparable pair satisfying t_i<t_j,δ_i=1, we count 0.5 in the numerator of the concordance index for tied risk scores (r_i=r_j).
A named numeric vector that consists of
index
: the concordance index.
concordant
: the number of concordant pairs.
comparable
: the number of comparable pairs.
tied_tisk
: the number of comparable pairs having tied risks.
Asano, J., & Hirakawa, A. (2017). Assessing the prediction accuracy of a cure model for censored survival data with long-term survivors: Application to breast cancer data. Journal of Biopharmaceutical Statistics, 27(6), 918–932.
Harrell, F. E., Lee, K. L., & Mark, D. B. (1996). Multivariable prognostic models: Issues in developing models, evaluating assumptions and adequacy, and measuring and reducing errors. Statistics in medicine, 15(4), 361–387.
1 | ## See examples of function 'cox_cure'.
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