Figure 1.15 Layout for a three-treatment completely randomized fractional factorial design (CRFF-23-1 design). A score for the ith participant in treatment combination ajbkcl is denoted by Yijki • The 4n participants are randomly assigned to the treatment combinations with the restriction that n participants are assigned to each combination. The mean for the participants in the four groups is denoted by Y.111, Y.122, Y.212, and Y.221 •

A x C interaction are two names for another source of variation, as are A x B and C. Hence, the F statistics

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