In a factorial design with two independent variables, researchers will need to review one interaction effect and two main effect. This design will also yield four marginal mean, which are the averages of each level of the independent variable collapsed across the levels of the other independent variable.
The independent variable is the variable that you change and control in your experiment. A dependent variable is a variable that you cannot control and that is affected by the response of the independent variable. Let's say you're doing an experiment to see how different sugars affect the density of cookies. The type of added sugar is an independent variable because you choose it.
Density would be the dependent variable because it depends on the sugar used. A factor model contains two or more independent variables and one dependent variable. Independent variables, often called factors, must be categorical. Groups of these variables are often called levels.
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