Simple Moderation.md

Simple Moderation

Permanent Note Created: 01-07-2022 11:14 #statistics

This model focuses on the effect of A on C. This relationship is moderated by the variable W. In this figure the diamond reflects an interaction between the two variables.

graph LR;
A --> |c| C;
A --> D{ } --> |b| C;
W --> D{ };
W --> |m| C;

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$C = \beta_0 + c\cdot A + m\cdot W + b\cdot A\cdot W$

This is the regression equation for this model. Which can be rewriteen as:

$C = \beta_0 + m\cdot W + (c + b\cdot W)\cdot A$

When written like this you can see how the A variable is now a linear function of the moderating variable.

To interpret this model first determine if parameter $b$ is significant. Then the model can be [[Probing an Interaction|probed]] to identify the range of values of W for which the A effect is significant.

References