Description Usage Arguments Details References
\varphi
This function computes varphi_k(t;z_0).
1 | Varphi_par(est, x, y, kk, CIFest, data, newdata, group, event, save, group.in.train)
|
est |
The model fitting details from the k^th cause-specific hazards model. |
x |
The design matrix associated with the k^th type of failure, of dimension n observations * p_k covariates. |
y |
The survival response associated with the k^th type of failure. |
kk |
The k^th type of failure. |
CIFest |
(Internal) The point estimator of the cumulative incidence function. |
data |
A data frame with n observations and p number of covariates. |
newdata |
A data frame or a matrix used for prediction. If not specified, the original data will be used instead. |
group |
The name of the group covariates (if any). If specified, the cumulative hazards will be estimated for each group seperately. Default is |
event |
This is an internal binary indicator to specify if any type of failure occurs at a given time. |
save |
An option to save the computed S0 and S1. It is highly recommended for large-scale dataset to improve the computational efficiency. Default is |
group.in.train |
This argument is valid only when the group argument is specified. If group is presented in both data and newdata, use |
This function computes
\hat{\varphi}_{k}(t; z_{0}) = \frac{1}{n}∑_{i=1}^{n}\hat{S}(\tilde{T}_{i}; z_{0})(z_{0}- \bar{Z}(\hat{β}_{k}, \tilde{T_{i}}))\frac{\exp(\hat{β}_{k}^{T}z_{0})δ_{ji}I(\tilde{T}_{i} ≤ t)}{S^{(0)}(\hat{β}_{k}, \tilde{T}_{i})}
Cheng, S. C., Jason P. Fine, and L. J. Wei. "Prediction of cumulative incidence function under the proportional hazards model." Biometrics (1998): 219-228.
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