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professional-certificate

Supported by the following organizations

This is to certify that Raphael Aaron Kummer successfully completed all courses and received passing grades for a Professional Certificate in Data Science a program offered by HarvardX, in collaboration with edX.

Noted by

Rafael Irizarry

Rafael Irizarry

Professor of Biostatistics Harvard T.H. Chan School of Public Health

  • Professional Certificate Issued April 2023
  • Valid Certificate ID 5019156950f24006aac14c3e9bcb41e8

For tips and tricks on printing your certificate, view the Web Certificates help documentation.

About edX

edX offers interactive online classes and MOOCs from the world’s best universities, including MIT, Harvard, Berkeley, University of Texas, and many others. edX is an online initiative created by founding partners Harvard and MIT.

About the edX Professional Certificate

An edX Professional Certificate signifies that the learner has completed a group of courses that add up to a rich understanding of an area of study. Completion of Professional Certificate Programs requires that learners earn Verified Certificates from each of the courses included in the Program.