I just ran a multiple group ACE multivariate analysis and I found that a certain standardized genetic path coefficient is identical in both groups, but one is significant (i.e. confidence interval does not include 0) and the other is not significant. In regular multiple regression, the significance of a path coefficient is determined by: path estimate being divided by the standard deviation of that estimate so I am guessing that the reason that one estimate is significant here has something to do with the different variance associated with each group? Am I close? If it has something to do with the variance, how do I test for it?
Thank you in advance for your insights on this,