Fprep.DRKMEIV {otrKM}

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

Description

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

Usage

Fprep.DRKMEIV(datalist, ps, t0)

Arguments

datalist

A list used to calculate the (S)DRKMEIV 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.

ps

A list including the probability of receiving instrument given baseline covariates named fzl, the probability of receiving treatment given baseline covariates and instrument equaling 0 named fal0, the probability of receiving treatment given baseline covariates and instrument equaling 1 named fal1, and the difference between fal1 and fal0 named deltal. Fps.DRKMEIV can produce ps by positing logistic model.

t0

A predetermined t.

Details

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

Value

A list including estimates \hat{\gamma}_1(\boldsymbol{L};s) with treatment all to 1 named gamma.num.1 and all to 0 named gamma.num.0, \hat{\gamma}_1'(\boldsymbol{L};s) with treatment all to 1 named gammaa.num.1 and all to 0 named gammaa.num.0, \hat{\gamma}_2(\boldsymbol{L};s) with treatment all to 1 named gamma.den.1 and all to 0 named gamma.den.0, and \hat{\gamma}_2'(\boldsymbol{L};s) with treatment all to 1 named gammaa.den.1 and all to 0 named gammaa.den.0; gamma.num.1 and the others are matrix with ordered observed time as rows and patients as columns. There are also estimates for the last term of the (S)DRIWKMEIV estimator. More details can be found in references.

References

Xia, J., Zhan, Z., Zhang, J. (2022) Estimating optimal treatment regime in survival contexts using an instrumental variable. Under Review.