In this paper, we prove that the simulation method for interval-censored data proposed by Fay (1999) is consistent in the sense that if we select a sample, then the estimate obtained from Turnbulls (1974) EM algorithm will converge to the true parameter when the sample size tends to infinity. We also propose a non-parametric rank test for interval-censored data to determine whether two populations come from the same distribution. Simulation result shows that the proposed test statistics performs pretty satisfactory.