Supported by the following organizations
This is to certify that Shivaprasad Karkala successfully completed and received a passing grade in PH125.1x: Data Science: R Basics a course of study offered by HarvardX, an online learning initiative of Harvard University.
Noted by
Rafael Irizarry
Professor of Biostatistics Harvard T.H. Chan School of Public Health
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- Verified Certificate Issued May 28, 2019
- Valid Certificate ID cc7d6c9624ad494e8c334c9fcdf97e1e