%0 Journal Article %T The Design of Cluster Randomized Trials With Random Cross %A Maryam Safarkhani %A Mirjam Moerbeek %J Journal of Educational and Behavioral Statistics %@ 1935-1054 %D 2018 %R 10.3102/1076998617730303 %X Data from cluster randomized trials do not always have a pure hierarchical structure. For instance, students are nested within schools that may be crossed by neighborhoods, and soldiers are nested within army units that may be crossed by mental health¨Ccare professionals. It is important that the random cross-classification is taken into account while planning a cluster randomized trial. This article presents sample size equations, such that a desired power level is achieved for the test on treatment effect. Furthermore, it also presents optimal sample sizes given a budgetary constraint, with a special focus on conditional optimal designs where one of the sample sizes is fixed beforehand. The optimal design methodology is illustrated using a postdeployment training to reduce ill-health in armed forces personnel %K cluster randomization %K crossed random effects %K statistical power analysis %K optimal design %K budgetary constraint %K conditional optimal design %U https://journals.sagepub.com/doi/full/10.3102/1076998617730303