Simple random sampling and random assignment (randomization) are some of the best and most popular methods of attaining the pretreatment equivalence of contrasted groups in psychological research (see Cook & Campbell, 1979), in medical research (see OFallon et al., 1978), and in the specialized area of psychotherapy efficacy studies (Huesmann, 1982; Kendall & Norton-Ford, 1982; D. A. Shapiro & Shapiro, 1983). In fact, in a recent meta-analysis of comparative psychotherapy outcome research that focused on some of the best studies in this area, D. A. Shapiro andShapiro (1982, 1983) noted that unconstrained randomization was used in 57% of the client groups.One of the most appealing characteristics of random sampling and randomization is that these methods can equate groups on several nuisance variables simultaneously and that these methods do not require the researcher to be aware of (a) how the important nuisance variables are related Reprinted from the Jmml of Consulting and Clinical Psychdogy, 57, 131-137.