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Assuming a full factorial design, it's the product of the levels over all independent variables. For example, in a two-factor design, in which each factor is considered at each of three levels, the so-called 23 design, the total number of conditions is 23 = 8. In a two-factor design in which one factor is considered at two levels and the other at three the total number of conditions is 2 ( 3 ) = 6.

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Q: How do you identify the number of conditions in a factorial design on the basis of knowing the number of independent variables and the number of levels of each independent variable?
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