# Factorial designs

Factorial designs have the advantage of allowing us to evaluate ___________

(a) the interaction between two or more independent variables

(b) the same participants under different conditions

(c) the same participants under the same conditions

(d) the interaction between the independent variable and the dependent variable

Please advise correct answer & why ---- thanks so very much!!

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#### Solution Preview

Factorial designs have the advantage of allowing us to evaluate ___________

Best answer is (a) the interaction between two or more independent variables

A factorial design is used to evaluate two or more factors simultaneously. The treatments are combinations of levels of the factors. The advantages of factorial designs over one-factor-at-a-time experiments are that they are more efficient and they allow interactions to be detected.

Why is (a) the better answer over (d)?

It has to do with what an interaction is. The interaction is between different levels of the independent variable, not an interaction between the independent variable and the dependent variable as suggested in (d).

An interaction is the variation among the differences between means for different levels of one factor over different levels of the other factor (i.e., a factor of an experiment is a controlled independent variable; a variable whose levels are set by the experimenter. A factor is a general type or category of treatments. Different treatments constitute different levels of a factor. For example, three different groups of runners are subjected to different training methods. The runners are the ...

#### Solution Summary

This solution provides the beat answer and explanation to one question about the advantages of using factorial designs.