Adjusted SS: Adjustment to the sum of squares used in general linear models (GLM) to account for designs without orthogonality. A Type II adjustment to the SS of a term involves adjusting for all other terms in the model that do not contain the term in question. A Type III adjustment involves adjusting for all other terms in the model, including those containing the term in question. Only Type II SS are suitable for models with fixed cross factors, and only Type III SS are suitable for models with random cross factors. Designs that are both orthogonal and balanced have adjusted SS equal to sequential SS.
Doncaster, C. P. & Davey, A. J. H. (2007) Analysis of Variance and Covariance: How to Choose and Construct Models for the Life Sciences. Cambridge: Cambridge University Press.