Suppose I have a linear regression with 5 predictors (x1 to X5) and 1 outcome (y).
I want to see whether the effects of X1 to X5 on Y differ between boys and girls.
A possible answer may be: the effects of X1, X3 and X5 on Y are similar between boys and girls, but the effect of X2 on Y is stronger for girls, and the effect of X5 is nonsignificant for girls, and significant for boys.
Now first I tested whether the model with X1 to X5 constrained to be the same between boys and girls, differs from the model where X1 to X5 are freely estimated. The model with paths freely estimated are better than the model in which the paths are the same.
I know I can now use wald test to see if X1[boys] = X1[girls] etc. However, becuase I have 5 predictors, this results in at least 5 wald tests. Is there a correction for multiple testing, and if so, sould I apply it, and if so, how can I do that?