When comparing the direction and magnitude of the difference between the original means and the adjusted means what does the change say about the covariate?
For example: IV = Grade, DV = Test Score, Covariate = IQ Score
Am I correct in assuming that if a group's adjusted mean is higher than its original mean that the effect of the covariate (higher IQ) is that it decreases the DV (Test Score) thus resulting in the higher adjusted mean?
As to your question, why not just look at the parameter estimate for the covariate? That seems much more straightforward
– Peter Flom Nov 13 '12 at 03:58