What is the difference between Installation Testing and Compatibility Testing in context of software Testing ?
Terminology in test is not something that is engraved somewhere and identical for everyone. Nevertheless, my understanding would be:
installation testing : testing the download, deploy and set-up and the Software. Test with different initial configurations (soft never installed before, soft installed and removed, soft here and we want to upgrade etc.).
compatibility testing: testing the global behavior of your product (not just the install, but you would have to include it) on different platforms. Depending on your product and you are supposed to support, you will make variation on hardware, OS, browsers, databases etc.