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With reference to a 3 x 3 x 3 factorial design: a) How many independent variables...

With reference to a 3 x 3 x 3 factorial design:

a) How many independent variables are in this factorial design? (1 mark)

b) How many main effects are possible in this experimental design? (1 mark)

c) What is the total number of conditions in this experiment? (1 mark)

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Answer #1

a) In factorial designs, the number of numbers indicate the number of factors or independent variables. Therefore, for a 3*3*3 factorial design there are 3 independent variables.

b) A main effect is the effect of the independent variable on the dependent variable. In general, the is one main effect for every independent variable. Therefore, this particular experiment has 3 main effects.

c) The number of treatment conditions in the experiment can be calculated by multiplying the number of factors.

3*3*3=27

Therefore, the total number of conditions is 27

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