I.0: Precdict information/covariance under null hypothesis

In lilywang1988/IAfrac: Tools for weighted log-rank tests

Description

Calulcation of the information/covariance based on a presumed survival function under the null.

Usage

I.0(rho, gamma, lambda, R, p, t.star)

I.0.cov(rho1, gamma1, rho2, gamma2, lambda, R, p, t.star)

Arguments

rho	First power parameter for the Fleming-Harrington weight which weighs on the early departures: S(t^-)^ρ(1-S(t^-))^γ.
gamma	Second power parameter for the Fleming-Harrington weight which weighs on the late departures: S(t^-)^ρ(1-S(t^-))^γ.
lambda	Event hazard for the control arm.
R	End of the accrual period.
p	Treatment assignment probability.
t.star	Time point we pause the study to check the cumulative information under the null.
rho1, rho2	First power parameters for the two Fleming-Harrington weights, defined for covariance calculation.
gamma1, gamma2	Second power parameters for the two Fleming-Harrington weights, defined for covariance calculation.

Details

This function is prepared to calculate the predicted information/covariance purely based on the assumed survival function under the null hypothesis: an exponential distribution with hazard lambda.

Author(s)

Lili Wang.

References

Hasegawa, T. (2016). Group sequential monitoring based on the weighted log‐rank test statistic with the Fleming–Harrington class of weights in cancer vaccine studies. Pharmaceutical statistics, 15(5), 412-419.

See Also

I.1

lilywang1988/IAfrac documentation built on March 11, 2021, 11:53 a.m.