complete factorial design
a research study involving two or more independent variables in which every possible combination of the levels of each variable is represented. For instance, in a study of two drug treatments, one (A) having two dosages and the other (B) having three dosages, a complete factorial design would pair the dosages administered to different individuals or groups of participants as follows: A1 with B1, A1 with B2, A1 with B3, A2 with B1, A2 with B2, and A2 with B3. Compare fractional factorial design.