Update Feb 8, 2010: See also "Open Access: Self-Selected, Mandated & Random; Answers & Questions"
Phil Davis: "An interesting bit of research, although I have some methodological concerns about how you treat the data, which may explain some inconsistent and counter-intuitive results, see: http://j.mp/8LK57u A technical response addressing the methodology is welcome."
Thanks for the feedback. We reply to the three points of substance, in order of importance:
(1) LOG RATIOS: We analyzed log citation ratios to adjust for departures from normality. Logs were used to normalize the citations and attenuate distortion from high values. Moed's (2007) point was about (non-log) ratios that were not used in this study. We used log citation ratios. This approach loses some values when the log tranformation makes the denominator zero, but despite these lost data, the t-test results were significant, and were further confirmed by our second, logistic regression analysis. It is highly unlikely that any of this would introduce a systematic bias in favor of OA, but if the referees of the paper should call for a "simpler and more elegant" analysis to make sure, we will be glad to perform it.
(2) EFFECT SIZE: The size of the OA Advantage varies greatly from year to year and field to field. We reported this in Hajjem et al (2005), stressing that the important point is that there is virtually always a positive OA Advantage, absent only when the sample is too small or the effect is measured too early (as in Davis et al's 2008 study). The consistently bigger OA Advantage in physics (Brody & Harnad 2004) is almost certainly an effect of the Early Access factor, because in physics, unlike in most other disciplines (apart from computer science and economics), authors tend to make their unrefereed preprints OA well before publication. (This too might be a good practice to emulate, for authors desirous of greater research impact.)
(3) MANDATED OA ADVANTAGE? Yes, the fact that the citation advantage of mandated OA was slightly greater than that of self-selected OA is surprising, and if it proves reliable, it is interesting and worthy of interpretation. We did not interpret it in our paper, because it was the smallest effect, and our focus was on testing the Self-Selection/Quality-Bias hypothesis, according to which mandated OA should have little or no citation advantage at all, if self-selection is a major contributor to the OA citation advantage.
Our sample was 2002-2006. We are now analyzing 2007-2008. If there is still a statistically significant OA advantage for mandated OA over self-selected OA in this more recent sample too, a potential explanation is the inverse of the Self-Selection/Quality-Bias hypothesis (which, by the way, we do think is one of the several factors that contribute to the OA Advantage, alongside the
other contributors: Early Advantage, Quality Advantage, Competitive Advantage, Download Advantage, Arxiv Advantage, and probably others).
The Self-Selection/Quality-Bias (SSQB) consists of better authors being more likely to make their papers OA, and/or authors being more likely to make their better papers OA, because they are better, hence more citeable. The hypothesis we tested was that all or most of the widely reported OA Advantage across all fields and years is just due to SSQB. Our data show that it is not, because the OA Advantage is no smaller when it is mandated. If it turns out to be reliably bigger, the most likely explanation is a variant of the "
Sitting Pretty" (SP) effect, whereby some of the more comfortable authors have said that the reason they do not make their articles OA is that they think they have enough access and impact already. Such authors do not self-archive spontaneously. But when OA is mandated, their papers reap the extra benefit of OA, with its Quality Advantage (for the better, more citeable papers). In other words, if SSQB is a bias in favor of OA on the part of some of the better authors, mandates reverse an SP bias against OA on the part of others of the better authors. Spontaneous, unmandated OA would be missing the papers of these SP authors.
There may be other explanations too. But we think any explanation at all is premature until it is confirmed that this new mandated OA advantage is indeed reliable and replicable. Phil further singles out the fact that the mandate advantage is present in the middle citation ranges and not the top and bottom. Again, it seems premature to interpret these minor effects whose unreliability is unknown, but if forced to pick an interpretation now, we would say it was because the "Sitting Pretty" authors may be the middle-range authors rather than the top ones...
Yassine Gargouri, Chawki Hajjem, Vincent Lariviere, Yves Gingras, Les Carr, Tim Brody, Stevan Harnad
Brody, T. and Harnad, S. (2004)
Comparing the Impact of Open Access (OA) vs. Non-OA Articles in the Same Journals. D-Lib Magazine 10(6).
Davis, P.M., Lewenstein, B.V., Simon, D.H., Booth, J.G., Connolly, M.J.L. (2008)
Open access publishing, article downloads, and citations: randomised controlled trial British Medical Journal 337:a568
Hajjem, C., Harnad, S. and Gingras, Y. (2005)
Ten-Year Cross-Disciplinary Comparison of the Growth of Open Access and How it Increases Research Citation Impact.
IEEE Data Engineering Bulletin 28(4) 39-47.
Moed, H. F. (2006)
The effect of 'Open Access' upon citation impact: An analysis of ArXiv's Condensed Matter Section Journal of the American Society for Information Science and Technology 58(13) 2145-2156