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It depends on the degree and the university. There are some onliners that are held in high regard -- and don't forget that Harvard and MIT are online. U of MD is online and the list goes on and on. There are some that are frankly just degree mills, so you have to do your homework. You may want to get the Ed.S. first from the school, which is a way to test the curriculum and the instruction and then apply for the Ed.D. The Ed.S. can be transferred to another school that offers the Ed.D.
Time for a reality orientation.
Harvard's Extension School offers some online courses, but does NOT offer online degrees.
http://www.extension.harvard.edu/distance-education/online-course-offerings/apply-online-credits-degreeMIT actually offers some free online courses (actually course materials), but you can't get an online degree there, either.
Last I knew, the only online degree offered within the universities of the Ivy Deans Group (ivies plus MIT, Stanford, and Chicago) was a master's in computing in education from Columbia. About the original question, no high end school offers an online doctorate (that is, a terminal degree).