Adjusted means

These are the means that one would get after removing all differences that can be accounted for by the covariate in an analysis of variance design (see ANOVA ).
The general formula (see Kerlinger & Pedhazur, 1973, p. 272) is
Y-barj(adj) = Y-barj - b(X-barj - X-bar)
where
Y-barj(adj) the adjusted mean of group j;
Y-barj the mean of group j before adjustment;
b the common regression coefficient;
X-barj the mean of the covariate for group j;
X-bar the grand mean of the covariate.
See also categorical predictor variable , covariates ; see also General Linear Models or ANOVA/MANOVA .