Facets that describe Enterprise Architecture at a given institution:

 This is a start on a model for describing how Enterprise Architecture / I.T. Architecture is structured and engages with the enterprise.

Organizational Models of Enterprise Architecture

Other aspects that might affect positioning and organization models

Facets that describe how you engage  (see Mark Poepping's Arch to Action document)

Organization's Operating Model

Which model most closely matches your organizations operating model (take fromEnterprise Architecture as Strategy by Ross, Weill and Robertson)

Organizational Maturity Model

At which point in the maturity model would you say your organization is mostly at (also from EA as S)