A DoF calculator won't tell you a damn thing about the background. It tells you where the circle of confusion is small, not how big it is when it's big.
You buggers are gonna make me do math. I hate doing math.
A point "at infinity" renders as some sort of little fuzzy spot in the image. We can consider backgrounds that are pretty far away as "at infinity". The size of that fuzzy spot varies according to where you're focused. The size of that fuzzy spot is a measure of how blurry your background looks, if your background is "pretty far away". When you're focused at normal working distances, pretty large multiples of the focal length (so, let's say more than 3 feet for 35mm or 50mm lens) then the size of that little fuzzy spot depends pretty much on the inverse of:
(distance to the in-focus subject) * (f-number)
So, if you halve the distance to the in-focus subject, you double the fuzziness. If you were focused at 6 feet and now you're focused at 4 feet, you've change the distance by a factor of 2/3, you get 3/2 fuzzier -- the little fuzzy circles are 1.5 times as big.
If you change from f/2.8 to f/1.8 the fuzziness increases by almost 1.6.
I dunno where frommrstomommy was focused. Looks like she might have gone from whatever distance to about 2/3 of that distance. So about half the "added fuzziness" is due to being closer to the in-focus subject, and the other half is from the change in aperture. Which is more than I thought, to be sure.
It ain't a lens test, it wasn't intended as a lens test. It looks to me like a fine example of "here are two pictures at two apertures. They look different. Check it out."