Supported by the following organizations
This is to certify that Sharmila Dhanapalan successfully completed and received a passing grade in PH525.1x: Statistics and R 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 November 25, 2025
- Valid Certificate ID e3268061a37d403ebd849150998063ac