In my current research, I am looking to see how the level of congruence between my 2 independent variables (personal values and environmental values) influences my dependent variable (participants behavior). Past research has already established each variable on its own to influence the dependent variable, however I am interested in seeing how the interaction of both variables influences the dependent variable. I am hoping someone could point me in the right direction of the type of statistical analysis to use to investigate this relationship or “congruent effect”. Thank you in advance!
Run a multiple regression with the interaction. Herefor, you will first need to create a new variable for the interaction, the product of both independent variables. The regression will then be definened as:
Y = a + b1X + b2Z + b3XZ + e
See
https://stattrek.com/multiple-regression/interaction
See also the Sage paper 72 by James Jaccard & Robert Turrisi, Interaction in multiple regression 2nd Ed.
I agree with Jos Feys but be aware that so-called "linear-by-linear" interactions can be a bit tricky to interpret.
Interaction plots should clear up any interpretation problems. Google this term and proceed from there. Best wishes David Booth
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