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It sounds like they wanted to do the scraping themselves, but for anyone else who wants to play with this data, it's available for download at http://xd.saul.pw/data.
Also here: https://github.com/doshea/nyt_crosswords and a couple of other repos on GH.
Thanks for posting this, but not all data is created equal. These crosswords only go back to 1976, are in .json format, and require nontrivial processing to get into a useful format for data analysis. By contrast, I very meticulously designed the formats available at xd.saul.pw to be easy to use. You can even extract some interesting results with just e.g. `grep` and `wc`.
Thank you, I did not realize at first that the link you posted is so complete! I PM'd you on reddit a little while ago asking for the dataset, but didn't have the time to play with it yet. Thanks again for your time and consideration.
That third chart is a thing of beauty!
what was the clue for CCCCCCC?

14 across - sound made by someone choking

It's interesting that word length emerges as such a clear proxy for difficulty. I often find it easier to think of a longer word or phrase (assuming no wordplay) than something short and obscure -- the parameter space is much smaller.

Also interesting to see the step increase between Thursday and Friday. This finding is consistent with my anecdotal experiences, but I doubt it's deliberate on the part of the editors. I think there is probably a technical explanation for this. For example, maybe there are fewer words available of medium to long length between the set of shorter words and multi-word answers, so no smooth transition between Thursday and Friday is possible.

Sunday's word length slots in nicely between Thursday & Friday, which matches what I've read the NYT editors desire (for Sunday to be "roughly as difficult as thu/fri") ... and gainsays your hypothesis =)

Rather than the set of possible answers being U-shaped, maybe it's a size thing: it is hard to fit in N medium-sized words unless you have the extra space of the Sunday puzzle.

The top & bottom of Fri/Sat puzzles are often split into just two words (one long, one short), this might inform our developing hypothesis.

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This was actually really fascinating to me. I loved to see all the words that are important:

- nsfw - This one is hilarious. Of all the internet terms (e.g. AFAIK, AMA, LOL), this is the most used.

- laiditontheline - Why is this important in 2016? Does "Laid it on the line" have a particular meaning?

- idriselba - This one is great too. Stringer Bell!