Fprep.AIWKME {otrKM}

Cox proportional hazards model for eta-free terms in the (S)AIWKME estimator.

Description

Cox proportional hazards model for eta-free terms in the (S)AIWKME estimator.

Usage

Fprep.AIWKME(datalist, t0)

Arguments

datalist

A list used to calculate the (S)AIWKME estimator including treatment named a, observed time named obs.t, censoring indicator (0, censored) named delta, and baseline covariates used to assign treatment named l. Notice that all the data in the datalist should be ordered by observed time.

t0

A predetermined t.

Details

More details can be found in references, AIWKME, and Genetic.optim.AIWKME.

Value

A list including the augmented terms in the numerator with treatment all to 1 named gamma.num.1 and all to 0 named gamma.num.0 and in the denominator with treatment all to 1 named gamma.den.1 and all to 0 named gamma.den.0; gamma.num.1 and the others are matrix with ordered observed time as rows and patients as columns. More details can be found in references.

References

Jiang, R., Lu, W., Song, R., and Davidian, M. (2017) On estimation of optimal treatment regimes for maximizing t‐year survival probability. Journal of the Royal Statistical Society: Series B (Statistical Methodology), 79: 1165-1185. DOI:10.1111/rssb.12201