Just clicked on the link. Seems to only do binary categorization of "accredited" and "not accredited". Would probably be more useful if they made available all of the data they collect as part of the accreditation process, to allow journalists, prospective students, etc. dig into the details.
DOE doesn't collect the kind of data you are probably thinking of as part of the accreditation process, because DOE doesn't do that. Accreditors do that, and DOE has a set of accreditors whose accreditation it accepts. DOE does provide the data it collects, which is the name and effective dates of the accreditors for institutional, special, and internship/residency accreditations for each institution. (It also provides links to the accreditors in many cases, and those sometimes provide publicly more of the data that they collect during accreditation.)
http://ope.ed.gov/accreditation/
It does need to be reformed a bit though for what you might call the 'low end' ... that is training programs finely tuned for specific skills.