Asked by Briana Goins on Jun 30, 2024

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______ is the effect of an independent variable on the dependent variable within a factorial research design, while ______ are the means in the table that represent the main effect.

A) Interaction effect; marginal means
B) Interaction effect; cell means
C) Main effect; marginal means
D) Main effect; cell means

Interaction Effect

A statistical phenomenon in which the effect of one independent variable on a dependent variable differs depending on the value of another independent variable.

Marginal Means

The mean values of a variable in a dataset at each level of another variable, especially in the context of factor analysis or ANOVA, used for understanding group differences.

Dependent Variable

The variable being tested and measured in an experiment, its outcome depends on the influence of the independent variable.

  • Understand the concept of main effects and interaction effects in factorial research designs.
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Yahaira NegronJul 01, 2024
Final Answer :
C
Explanation :
The main effect is the effect of an independent variable on the dependent variable within a factorial research design. Marginal means are the means in the table that represent the main effect, as they represent the means of each level of the independent variable collapsed across the levels of the other independent variable. Cell means, on the other hand, represent the means of each combination of levels of the two independent variables and are used to calculate the interaction effect. Therefore, option C is the correct answer.