2 X 3 Factorial Design. So a 2x2 factorial will have two levels or two factors and a 2x3 factorial will have three factors each at two levels. ABC int ABC 1 2 int AB j C int AB j C 1 4 y y y y y y y y 50 The contrast is -111-11-1-11 A B C. The first number is a 2 so the first IV has 2 levels. What is a 23 factorial design.
3-way Factorial Designs. So the study described above is a factorial design with two between groups factors and each factor has 3 levels sometimes described as a 3 by 3 between groups design. The equivalent one-factor-at-a-time OFAT experiment is shown at the upper right. What is 2x2x2 factorial design. Graphical representation of a two-level design with 3 factors. A factorial design is one involving two or more factors in a single experiment.
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The total number of treatments in a factorial experiment is the product of the number of levels of each factor. ABC int ABC 1 2 int AB j C int AB j C 1 4 y y y y y y y y 50 The contrast is -111-11-1-11 A B C. The top part of Figure 3-1 shows the layout of this two-by-two design which forms the square X-space on the left. Graphical representation of a two-level design with 3 factors. What is a 23 factorial design. So a 2x2 factorial will have two levels or two factors and a 2x3 factorial will have three factors each at two levels.