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3 2 Factorial Design. A factorial design is an experiment with two or more factors independent variables. This would be called a 2 x 2 two-by-two factorial design because there are two independent variables each of which has two levels. Four 2s and two 3s multiplied together 24 32 is a prime number combination of the prime numbers 2 and 3. The 9 treatment combinations for this type of design can be shown pictorially as follows.
Four 2s and two 3s multiplied together 24 32 is a prime number combination of the prime numbers 2 and 3. The researchers then decide to look at three levels of sleep 4 hours 6 hours and 8 hours and only two levels of caffeine consumption 2 cups versus no coffee. A factorial experiment with five varieties and three doses of nitrogen is a two factor factorial experiment. For example with three factors the factorial design requires only 8 runs in the form of a cube versus 16 for an OFAT experiment with equivalent power. This implies eight runs not counting replications or center point runs. So the researchers decide to look at how the amount of sleep and the amount of caffeine influence test performance.
2 x 4 design means two independent variables one with 2 levels and one with 4 levels.
And one three factor interaction effect. What is a 2 by 3 factorial design. Three two factor interaction effects. Four 2s and two 3s multiplied together 24 32 is a prime number combination of the prime numbers 2 and 3. 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. This implies eight runs not counting replications or center point runs.