A New Year puzzle from Macartan Humphreys

January 1, 2015
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(This article was originally published at Statistical Modeling, Causal Inference, and Social Science, and syndicated at StatsBlogs.)

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Macartan writes:

There is a lot of worry about publication and analysis bias in social science research. It seems results are much more likely to be published if they are statistically significant than if not which can lead to very misleading inferences. There is some hope that this problem can be partly addressed through analytic transparency. Say researchers said what analysis they were going to do before they do them? Then that removes researcher degrees of freedom to analyze data in ways that might lead to too many significant results. It makes it hard to select some analyses that seem interesting while forgetting others that seem less interesting.

That’s an argument for “research registration.” It is a good argument but there is no evidence that registration really works. We might be able to find some evidence though. Medical journals started requiring registration in 2005. Did that affect the sorts of results that got published in these journals? We plan to find out.

See here for our strategy, which (because there are many equally good ones you might try) we are registering before we implement.

Before we do though, we would love to learn from social science and medical researchers what they expect to see in the data and what they will conclude when we find whatever we find. The puzzle form is here. Send in your guesses about the effects of registration in order to win a prize and extraordinary prestige.

And here’s what it says at the link:

We want to figure out whether the introduction of registration requirements affected the types of statistics published in medical journals. We have the data but we have not looked at it yet. To avoid doing the kind of data fishing that many hope registration will prevent we are registering our analysis plan before we start. See details here http://www.columbia.edu/~mh2245/p/

One innovation of this project is that we want to figure out what we learn about registration relative to current beliefs. What do you expect we will find? Has there been an effect or not?

Here you can give us your best guess for:
(i) the difference in the share of p values just below 0.05 before and after 2005 and
(ii) the difference in the share of all p values below 0.001 before and after 2005.

And for the more intrepid we ask that you also provide a full specification of your *prior* (current) beliefs as well as an indication of your belief about the appropriate classical test.

When Macartan sent me the above graphs, I wrote that it appears that the histogram for poli sci papers has spikes just below 1, 2, and 3. And, what are the spikes just below 1 and 3 all about, anyway? There’s something going on here that I don’t understand at all.

To which Macartan replied:

I have been pretty worried about the poli sci spikes at 1, 2 and 3 and they make me wonder about whether the evidence for too much just over 1.96 is largely, or at least in part, an integer spike.

We looked into a set of the 2 spikes and they look like they are coming from rounding; with bs and ses given two two decimal places and z scores imputed from these. eg b = 0.02, se = 0.01 gives z at exactly 2; b = 0.02, se=0.02 gives exactly z=1. Not great.

The medical data spikes at the p numbers, .06, .05, .04, .03, .02, .01, .002, .001, not the z’s since they report the p’s directly.

Ahh, that makes sense. And the apparent peak below the integers could be an artifact of the plotting program, that it takes 2.0 and puts it in the [1.95,2.0] bin rather than the [2.0,2.05] bin, etc.

On thing that bothers me about the “spike just above 1.96” thing is that I feel it puts the focus on the wrong place. After all, suppose that there was no selection around 1.96 but otherwise people did the same thing with garden of forking paths etc. We’d still have all these problems!

The post A New Year puzzle from Macartan Humphreys appeared first on Statistical Modeling, Causal Inference, and Social Science.



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