When you are interested in doing an experiment, but one variable is a classificatory variable, you can use a mixed design.

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Yes, a mixed design can be used when one variable is classificatory. A mixed design involves manipulating at least one independent variable that is within-subjects (i.e., repeated measures) and at least one independent variable that is between-subjects (i.e., independent groups). The classificatory variable would be the between-subjects variable.

When You Are Interested in Doing an Experiment, but One