How an extremely competitive, but non-accredited "regionally" program will be perceived in a phd applicant application? I am applying to a PhD program in law (business law) at a top university in the U.S. I got my master of law from an equivalent institution in the U.S.
I found an online-based MBA (master of business administration) program,
and I got accepted to the program.
According to their published data they are extremely competitive with an acceptance rate of only 7%. Majority of their students are graduates of reputable institution [ Harvard,Yale, LSE..etc.]. However, they are only accredited by the Distance Education Accreditation Commission (DEAC).
Since I study business law, I thought that it would be a good idea to reflect on that in my SOP and CV. (I am not applying to a business school. I am applying to a law school, but I just thought it is nice to nail down the technical aspect of business since my proposed research have some parts in business).
I am not sure how this would be perceived? should I put it in my CV and SOP as MBA or just point out that I am taking a program in business (just like you would reflect MOOCS or independent courses in your CV).
I would simply mention that you were accepted to a highly selective program, providing the name.  Hopefully, the institution is well-enough known that you need not go any further.  As for the Distance Education Accreditation Commission, it is sufficiently recognized by the major US agencies (e.g., US Department of Ed and Council for Higher Education Accreditation so I think you are sufficiently covered.