I spent some time trying to verify and calibrate hygrometers several years ago, and wrote about it in two articles on my blog:
https://doctroid.wordpress.com/2010/02/20/i-just-want-to-know-the-humidity/
https://doctroid.wordpress.com/2010/02/27/i-know-the-humidity/
I was looking at two Caliber IIIs, an electronic hygrometer from Radio Shack (or actually two, because it had a main and a remote unit), and a fistful of analog hygrometers. Conclusions I came to:
1. The Calibers are fine.
2. So is the Radio Shack.
3. The analog hygrometers are junk. (Including the one being sold to clarinetists to keep their instruments from cracking, and the one being sold to pet owners to keep their reptiles and amphibians alive.)
4. Somehow my wet bulb psychrometer was either built or used wrong, in both its incarnations, despite its seeming idiot-proof nature. I don’t know what was wrong, I being the idiot in question.