Supported by the following organizations
This is to certify that Takashi Miyahara 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 4, 2025
- Valid Certificate ID dc3131b8829040bf83ef7ed1af731c2f