Planning and Analysing Survival Studies under Non-Proportional
Hazards
Description
Piecewise constant hazard functions are used to flexibly model survival distributions with non-proportional hazards and
to simulate data from the specified distributions. A function to calculate weighted log-rank tests for the comparison of two
hazard functions is included. Also, a function to calculate a test using the maximum of a set of test statistics from weighted
log-rank tests (MaxCombo test) is provided. This test utilizes the asymptotic multivariate normal joint distribution of the
separate test statistics. The correlation is estimated from the data. These methods are described in Ristl et al. (2021)
.
Finally, a function is provided for the estimation and inferential statistics of various parameters that quantify the difference
between two survival curves. Eligible parameters are differences in survival probabilities, log survival probabilities,
complementary log log (cloglog) transformed survival probabilities, quantiles of the survival functions, log transformed quantiles,
restricted mean survival times, as well as an average hazard ratio, the Cox model score statistic (logrank statistic), and the
Cox-model hazard ratio. Adjustments for multiple testing and simultaneous confidence intervals are calculated using a multivariate
normal approximation to the set of selected parameters.