Selected examples using the statistical packages Statistical Package for the Social Sciences (SPSS), the Statistical Analysis System (SAS), and BMDP are presented to facilitate their use and encourage appropriate uses in: (1) a hierarchical design; (2) a confounded factorial design; and (3) variance component estimation procedures. To illustrate the hierarchical design, an example is taken from a study of time to assemble an electronic component for five operators at each of six workplaces (Kirk, 1982). The confounded factorial design is illustrated for four subjects each from two independent groups in two treatment combinations (Kirk, 1982). A variance component estimation example is given for a generalizability study involving 10 persons observed on 2 occasions (R. L. Brennan, 1983). For each of these conditions, all three computer packages are used. Nine tables present information from these analyses, and there is a six-item list of references. (SLD)