Bootstrap estimation of reliability coefficient by repeated measurement

In this article, the parametric bootstrap estimation of the reliability coefficient by repeated measurement is proposed. At first, a hierarchical model for calculating reliability from repeated measurement is presented. Next, the parametric bootstrap method for calculating the precision of estimation of the reliability coefficient is presented. The validity of applying the bootstrap method to this problem is examined by a simulation study. The result of the simulation study tells that the calculated bootstrap confidence interval tends to underestimate the statistical power, while the type I error is controlled