Two-sample comparison of current status data in the presence of a non-susceptible fraction

This study proposes a two-sample test statistic for evaluating the homogeneity of survival functions in the presence of a non-susceptible fraction under cross-sectional survival data composed of a single examination time and the event status.A linear rank statistic is proposed to simultaneously assess the homogeneity of both the incidence proportion and the latency distribution.Estimation of the null distribution is carried out through the EM algorithm combined with an adjusted pooled-adjacent-violators algorithm within a mixture cure modeling framework.The performance of the proposed procedures is investigated through extensive simulation studies and an IOL(Intraocular lenses) calcification data set is analyzed as a real data example.