  The restricted mean survival time (RMST) model has been garnering attention
as a way to provide a clinically intuitive measure: the mean survival time.
RMST models, which use methods based on pseudo time-to-event values and inverse
probability censoring weighting, can adjust covariates. However, no approach
has yet been introduced that considers random effects for clusters. In this
paper, we propose a new random-effect RMST. We present two methods of analysis
that consider variable effects by i) using a generalized mixed model with
pseudo-values and ii) integrating the estimated results from the inverse
probability censoring weighting estimating equations for each cluster. We
evaluate our proposed methods through computer simulations. In addition, we
analyze the effect of a mother's age at birth on under-five deaths in India
using states as clusters.
