Is there a way (perhaps through Twitter's API / official stats, etc.) to see a daily graph of how many tweets linked to my domain?
Perhaps more of a DIY solution, but I'll mention it anyway.
YouTube: Twitter analysis using ELK
Edit: this seems a free analytics site/app but I've never tried it: tweetchup
- Insights on tweets containing specific keywords/hashtag/user mention.
- Stats on users mentioned keywords.
- Interactive map with locations of users mentioned keywords.
- Hashtags most used within tweets containing keywords.