Other theories: - This is a bug / happens randomly; you just noticed it because you were looking (i.e. as you analyse this data); all the posts it's happened to before and since went unnoticed. That's supported by the evidence of your analysis; most of the results don't look any different to other posts. - It's not the link, but the related activity. Presumably if you're running analysis on HN data, there are a lot o…
You're definitely right about there being miscellanious rules in there. Something that I mentioned in passing in the article is that many stories exhibit a significant drop in position once they're 15 hours old. If you look closely at the typical story trajectories you can also see various other jumps of about 10-30 positions which I would guess are triggered by these various rules.
The stories listed in the article exhibit very different behavior where they jump hundreds of positions instantaneously. It's absolutely possible that this is triggered by some automatic mechanism but if that's the case then there's an enormous amount of signifance being assigned to the corresponding rules. If there's some random component to the ranking then I highly doubt that it would be responsible for jumps of this magnitude.
I try to emphasize in the article that I do think it's possible that there's a hidden flagging threshold that's responsible and that the data can't tell us with certainty whether or not that's the case. I just personally find it unlikely that that's what happened for all of these stories. If you ran a site like Hacker News then would you put an admin link next to each post that pushes it off of the front page? I know that I would.