This is definitely crochet. It is a short, beaded poncho. The neck is done in the round and then the stitch is changed to a doily type stitch for the body. stitch pattern, chain (x), stitch pattern, chain (x) around. The beads are threaded onto the yarn before you start and you just crochet around them wherever you want them. You could use any short poncho pattern, Just do the top of a longer pattern, or make a neck and then use any doily pattern making sure you increase the amount you want for fullness.
I can't get the link to work, but crochetpaterncentral website then chose free patterns at the top then either ponchos or doilies from the list. There are quite a few lovely and usable patterns there.
Tatting leaves a more knot-like appearance and is usually much smaller, more delicate work.
After a closer look, the established round pattern for this is:
DC, ch2, DC in same space; ch 9 with beads in every other chain, DC, ch2, DC in same space.
After you establish that stitch you will work this around
[ch4, DC in ch 2 space] *ch 19 with beads in every other chain, dc, ch2, dc in chain 2 space* repeat around sl into ch4
The chains with the beads will increase by odd numbers every 2 or three rows. They will always be odd so that there is a beadles chain at either side of chain sequence between DC, ch2, DC. My eyes are bad, but it looks like it starts with 9 and ends with 19 chains between the pattern marker. So row 1 &2 =9, 3&4 =11, etc.