I was supposed to be doing other work right now, but I just discovered there's a new USSC study on racial sentencing disparities with regression output at the end. So a couple thoughts after a brief skim! https://www.ussc.gov/sites/default/files/pdf/research-and-publications/research-publications/2017/20171114_Demographics.pdf …
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First of all, I've made the point myself that allowing judges more discretion lets them discriminate more, so I'm not averse to the finding.http://www.realclearpolicy.com/blog/2013/11/11/in_defense_of_mandatory_minimums_725.html …
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But I have a few misgivings here. For one, it doesn't *really* control for criminal history. Here's how it's explained in a footnote.pic.twitter.com/lo97WKrX4C
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So the actual history is converted to a score. Which is mapped onto six categories. Which then determines the range for a given offense. Which is what actually made it into the model.
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However, given how vague this is, I'd have guessed that if you added a simple piece of extra info -- whether the person had any violence in their criminal history -- that would give a significant result. It didn't. So there's that.
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Technical Q that may make no difference; Why is age included as a dummy variable (25 and under vs. >25) instead of, say, a polynomial? Just seems weird to throw out so much detail when age + age^2 is so common.
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Replying to @RAVerBruggen
Protip: use a spline for age, not age + age². That misses a lot of nonlinear patterns and suggests curvelinear interpretations that may be wrong. Easy to do with the rms package for R. https://web.as.uky.edu/statistics/users/pbreheny/764-F11/notes/9-27.pdf …
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Replying to @KirkegaardEmil @RAVerBruggen
With rms, it's as easy as adding rcs(x, 3) in your model formula. The 3 is the number of knots (points where functions meet), so you can add more if your data can support it & it is needed (usually it is not).
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Replying to @KirkegaardEmil
Interesting, thanks! I'll have to mess with that sometime.
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Let me know if you need some examples. Since reading @f2harrell's book, I've been using his package all the time for my regression modeling needs. Was considering writing a nicer wrapper for the function so I can get standardized betas (Frank doesn't like them.)
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