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Are publisher identities a possible confounder?
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If there is sufficient data to do this without risking de-anonymisation it would be very interesting to know how the effect varies based on the publisher of the journal. This could actually be a substantial confounding effect in the analysis as different publishers are very different. It would also be interesting to know if there was a difference between OA and non-OA journals. Again, this is likely to co-vary strongly with any publisher effect.

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I have the data to do this, so if I get time then I could certainly parse the papers by publisher, open access status, or other parameters. Each paper would have to be checked individually, due to some journals now offering different "tracks", so a paper may be open access or not depending on what track the authors opted for. Clearly this would take some time (weeks, not days), due to my other commitments. I'll see what I can come up with.

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