As early as the first paper of Bechhofer on ranking and selection in 1954 it was recognized that, with a ranking and selection goal as well as with other goals such as estimation or hypothesis testing, it might be desirable to carry out one's experiment in some design other than the completely randomized design. Nevertheless, over the years almost all of the papers in the area have developed their methods and theory explicitly only for the completely randomized design. In this paper we review what is known about ranking and selection in design settings other than the completely randomized design, and then proceed to new results on the complete factorial experiment setting.