I've seen many other questions on this which are not resolved.
There is a recommended page above, in Codex, in blue, when the search word backup is entered. However, my own phpMyAdmin does not look like the pictures on that page. I don't know if it's newer or older than yours. My phpMyAdmin database is named 4.0.27 or 2.4.0, and has many more check boxes. I'm confused as to which should be ticked off to make a backup. It has words like latex, structure only, structure and data, data only, export to xml. It also has boxes like add drop table, complete or extended inserts. These choices are not on your page.
My server is trying to move me to a new server this weekend, (for the 3rd time) and something keeps failing. I'm afraid I'll lose my database, and so it's important that I back it up correctly.