We have seen that in order to create one three-level factor the starting design can be a 2 3 factorial. Similar to the 3 k case we observe that X has 2 degrees of freedom which can be broken out into a linear and a quadratic component.
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The simplest factorial design involves two factors each at two levels.
. Without proof we state that a 2 4 can split off 1 2 or 3 three-level factors. The same independent factors using a three-level factorial design has 3 k or 3 5 243 experiments. Main effects Interaction effects One should always consider the interaction effects before trying to.
The equivalent one-factor-at-a-time OFAT experiment is shown at the upper right. Qualitative variables with only two levels highlow onoff yesno cannot be used in a three-level factorial design. A factorial design is an experiment with two or more factors independent variables.
2 x 4 design means two independent variables one with 2 levels and one with 4 levels condition or groups is calculated by multiplying the levels so a 2x4 design has 8 different conditions Results. In the previous factorial design with five variables there are 2 k or 2 5 32 experiments. Two-level factorial versus one-factor-at-a-time OFAT.
A 2 5 is able to generate 3 three-level factors and still. 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.
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