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When factorial designs are described by a set of numbers, how many numbers used indicate the number of independent variables, and the values of these numbers indicate the levels of each independent variable. The numerical value of each of the numbers represents the number of levels of each independent variable.
In a factorial design, each level of one independent variable is combined with each level of another to produce all possible combinations. Each combination, then, becomes a condition in the experiment. In principle, a factorial design can include any number of independent variables with any number of levels. Researchers often include multiple independent variables in their experiments. The most common approach is the factorial design, in which each level of one independent variable is combined with each level of another to create all possible conditions.
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