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1971 andrew gelman stats-2013-08-07-I doubt they cheated


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Introduction: Following up on my regression-discontinuity post from the other day, Brad DeLong writes : The feel (and I could well be wrong) as that at some point somebody said: “This is very important, but it won’t get published without a statistically significant headline finding. Torture the data via specification search until we find a statistically significant effect so that this can get published!” I think DeLong is mistaken here. But, before getting to this, here’s the graph: and here are the regression results: So, indeed it is that cubic term that takes the result into statistical significance. The reason I disagree with DeLong is that it’s my impression that, in econometrics and applied economics, it’s considered the safe, conservative choice in regression discontinuity to control for a high-degree polynomial. See the paper discussed a few years ago here , for example, where I criticized a pair of economists for using a fifth-degree specification and they replie


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1 Following up on my regression-discontinuity post from the other day, Brad DeLong writes : The feel (and I could well be wrong) as that at some point somebody said: “This is very important, but it won’t get published without a statistically significant headline finding. [sent-1, score-0.349]

2 Torture the data via specification search until we find a statistically significant effect so that this can get published! [sent-2, score-0.77]

3 But, before getting to this, here’s the graph: and here are the regression results: So, indeed it is that cubic term that takes the result into statistical significance. [sent-4, score-0.36]

4 The reason I disagree with DeLong is that it’s my impression that, in econometrics and applied economics, it’s considered the safe, conservative choice in regression discontinuity to control for a high-degree polynomial. [sent-5, score-0.48]

5 In which case the four additional degrees of freedom required to ramp up from a linear to a 5th-degree adjustment are a small price to pay if you have a large or even moderate sample size. [sent-8, score-0.355]

6 And in this case, sure, the cubic polynomial looks ridiculous, but a linear fit would be even worse (as the authors found using their model-fit statistics). [sent-9, score-0.89]

7 I’m guessing that the authors were doing what they thought was right and proper by choosing the best-fitting of these polynomials. [sent-10, score-0.229]

8 What if the result had been statistically significant with linear adjustment but not with a higher-degree polynomial? [sent-11, score-0.64]

9 Would they have presented the statistically significant linear result and stopped there? [sent-13, score-0.531]

10 But, given my impression of how economists think about regression discontinuity analysis, my guess is that, given the data the authors did see, that they did not do a specification search; they just did what they thought was the most kosher analysis possible. [sent-15, score-1.228]

11 had violated the rules of the game (in this case, not by faking or improperly discarding data but by trying analysis after analysis in a search for statistical significance), this would be a problem, but it’s a containable problem. [sent-17, score-0.766]

12 The rules are (relatively clear), and you’re not supposed to break them. [sent-18, score-0.171]

13 did what, under current doctrine, they were supposed to do : find a discontinuity and adjust using a high-degree polynomial. [sent-21, score-0.451]

14 When the recommended analysis has such problems of face validity, that’s a different problem entirely. [sent-22, score-0.114]

15 As the (sometimes) great Michael Kinsley once said, in a different context, “the scandal isn’t what’s illegal, the scandal is what’s legal. [sent-23, score-0.274]

16 Just to clarify: Not only do I not think that Chen et al. [sent-26, score-0.112]

17 “cheated” (in the sense of trying out many specifications in a search for statistical significance), I never thought so. [sent-27, score-0.301]

18 As I wrote in my original post, I applaud the authors’ directness in graphing their model which reveals its problems. [sent-28, score-0.209]

19 My post title, “I doubt they cheated,” is specifically in response to Brad DeLong’s feeling that they “tortured the data via specification search. [sent-29, score-0.399]


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