I do not see the mention of what chord progressions are used. They did mention what chords (according to only the notes, not according to the key) are common, though.

I would expect that a full analysis should write the roman numbers (so you will have to know what key it is as well), and might also consider such things as non-chord tones, modulation to other keys, etc. (However, this is not as simple as just putting them into the computer and writing a SQL query or whatever.)

What I had seen on television and what I had read, is that I-V-vi-IV chord progression is common in modern music. (There is also i-VI-III-VII, which is the relative minor key than I-V-vi-IV, which is obvious once you realize it.)