Enter the levels of two factors and their means, along with the mean of their interaction, into the calculator to determine the interaction effect. This calculator helps in understanding how two factors interact with each other in an experimental design.
Interaction Effect Formula
The following formula is used to calculate the interaction effect.
IE = M_AB - (M_A + M_B - A * B)
Variables:
- IE is the interaction effect
- M_AB is the mean of the interaction of factors A and B
- M_A is the mean of factor A
- M_B is the mean of factor B
- A is the level of factor A
- B is the level of factor B
To calculate the interaction effect, subtract the sum of the means of factors A and B from the mean of the interaction of A and B, then add the product of the levels of factors A and B.
What is an Interaction Effect?
An interaction effect occurs when the effect of one factor on an outcome depends on the level of another factor. In statistics, this is often analyzed in the context of factorial experiments where two or more factors are investigated to understand if they work independently or interact with each other. Interaction effects are important in fields such as psychology, medicine, and social sciences, where complex behaviors and outcomes are influenced by multiple variables.
How to Calculate Interaction Effect?
The following steps outline how to calculate the Interaction Effect.
- First, determine the level of factor A (A).
- Next, determine the level of factor B (B).
- Then, determine the mean of factor A (M_A).
- Determine the mean of factor B (M_B).
- Determine the mean of the interaction of A and B (M_AB).
- Use the formula to calculate the Interaction Effect (IE).
- After inserting the variables and calculating the result, check your answer with the calculator above.
Example Problem :
Use the following variables as an example problem to test your knowledge.
Factor A Level (A) = 2
Factor B Level (B) = 3
Mean of Factor A (M_A) = 50
Mean of Factor B (M_B) = 60
Mean of Interaction AB (M_AB) = 120
