0
$\begingroup$

This question already has an answer here:

I am trying to interpret the following model:

                                 y=a1+a2*x+a3*d+a4(x*d)+e

where

y= growth rate

x=debt

d= dummy high debt countries (=1 for high debt countries; =0 low debt countries)

The problem is on the interpretation of the interaction term.

For example, i want to interpret the impact of x*d on the dependent variable (y), what i say is :

"if the x increases by 1% then growth rate of high debt countries increases by (a2+a4)".

Is it correct to say increases or I have to say higher? In addition, should I refer that "if the x increases by 1% then growth rate of high debt countries increases by 0.03 more than low debt countries" or it does not need to refer "low debt countries"?

$\endgroup$

marked as duplicate by whuber Mar 18 '15 at 21:14

This question has been asked before and already has an answer. If those answers do not fully address your question, please ask a new question.

  • $\begingroup$ You can use if...then constructions when you know there is causality. However, regression alone does not imply causality; hence, you must be relying on some outside information when you make causal statements based on regression results. Regarding the last question, yes, you need to refer to low debt countries because a4 shows the effect of x for high debt countries relative to low debt countries (rather than relative to, say, the average of high and low growth countries). $\endgroup$ – Richard Hardy Mar 18 '15 at 19:31
0
$\begingroup$

You've got it right. Say "increases", rather than "higher" because x is continuous.

Whether you refer to the low-debt countries comes down to whether you want to discuss the presence of an interaction. If you do, then talk about them, if not, then don't.

Also notice that you can recode the contrasts to be 1 and 0, instead of 0 and 1, and a2 will give you the effect of x on y for high-debt countries.

$\endgroup$

Not the answer you're looking for? Browse other questions tagged or ask your own question.