Hi Reham,

No. Nothing more to say.

Best,

Holger

A moderator variable is essentially an interaction effect, so the effect of the IV on the DV varies according to levels of the moderator.

I mean when i set assumptions like follow

H1 direct relationship between IV and DV

H2 role of moderator on the direct relationship above

And i have

H3 high of moderator high of IV

H4 high of moderator high of DV is all above true??

You need to compare the effect of the IV on the DV when the moderator is low to the effect of the IV on the DV when the moderator is high. Note that these two can cancel each other out if one is positive and other is negative, leading to no direct effect of the IV and the DV.

Ok , is it true to test H3 , H4 above : Which illustrates the effect of M on IV and M on DV?

Hi Reham, a moderator variable is just an independent variable. In a small model, you have two independent variables, and one of these variables is denoted as the moderator variable because of theoretical reasons. As the model is symmetric, you may instead just call the other variable "moderator variable".

In this model, both independent variables should be specified as being correlated, and both independent variables should have direct effects on the dependent variable.

Therefore, H3 is generally not a hypothesis because this correlation is not part of a moderated regression model. But of course, H4 should be tested in moderated regression analysis.

HTH, Karin